SlideShare une entreprise Scribd logo
1  sur  6
Télécharger pour lire hors ligne
106                                                                                 IEEE TRANSACTIONS ON PLASMA SCIENCE, VOL. 41, NO. 1, JANUARY 2013




               Investigation of the Piezoelectric Effect as a
                       Means to Generate X-Rays
                    Brady Gall, Student Member, IEEE, Scott D. Kovaleski, Senior Member, IEEE,
      James A. VanGordon, Student Member, IEEE, Peter Norgard, Member, IEEE, Andrew Benwell, Member, IEEE,
         Baek Hyun Kim, Member, IEEE, Jae Wan Kwon, Member, IEEE, and Gregory E. Dale, Member, IEEE


   Abstract—The piezoelectric effect is analyzed as a means to                      5 kV, taking advantage of the high-voltage capabilities of the
produce X-rays. A mass of crystalline piezoelectric material is                     piezoelectric effect [12]. Piezoelectric materials when used as
used to convert a low-voltage input electrical signal into a high-                  high-voltage sources have specific advantages, including low
voltage output signal by storing energy in a longitudinally vibrat-
ing mechanical wave. Output energy is extracted in the form of a                    weight, low power, high efficiency, and high gain [8]. These ad-
high-voltage electron beam using a field-emission diode mounted                      vantages have motivated investigation of the piezoelectric effect
on the surface of the crystal. The electron beam produces X-rays                    for use in compact high-voltage sources capable of generating
via bremsstrahlung interactions with a metallic surface.                            X-ray energies of up to 25 keV [13], [14].
  Index Terms—Electron emission, piezoelectric effect, X-ray                           This paper discusses a method which has led to a substan-
production.                                                                         tial increase in maximum X-ray energy, from the previously
                                                                                    measured 25 keV reported in [13] and [14] to up to 130 keV.
                            I. I NTRODUCTION                                        A crystalline slab of lithium niobate was designed to reach
                                                                                    high voltage, and field electron emission was used to extract
L    ARGE HIGH-POWER technologies such as linear accel-
     erators, synchrotrons, and free-electron lasers are just a
few examples of X-ray sources typically used in high-energy
                                                                                    charge from the material. The charge was accelerated by the
                                                                                    piezoelectric crystal’s electric fields into a grounded metallic
                                                                                    target. Bremsstrahlung radiation was then produced by the
physics and particle research [1]. These applications can require
                                                                                    interaction between the high-energy charged particles and the
up to 550 kW; however, some applications, such as micro-
                                                                                    target.
scopic X-ray tomography, only require a few watts of X-ray
power [2], [3]. In these cases, low-power micro/nano X-ray
sources could be sufficient to replace the traditional high-power                                           II. BACKGROUND
sources. Certain physical phenomena such as the pyroelectric                           The piezoelectric effect is governed by two coupled equa-
and triboelectric effects have been demonstrated as methods                         tions that combine the Hooke law relationship between stress
for producing X-rays in compact form factors [4]–[6]. The                           and strain and the constitutive relationship between electric
piezoelectric effect is another such phenomenon which could be                      field and electric displacement. These equations are referred to
used as a method for compact high-voltage beam acceleration                         as the direct and indirect piezoelectric effects and are respec-
and X-ray generation [7].                                                           tively shown in the following [15]:
   Many commercially available products, including LCD
backlights, gas-discharge lamp igniters, and compact ac/dc                                            {D} = [d]{T } + [εT ]{E}                    (1)
converters, employ the piezoelectric effect to produce between
                                                                                                      {S} = [s ]{T } + [d ]{E}.
                                                                                                                E           t
                                                                                                                                                  (2)
30 and 300 V [8]–[11]. Alternatively, custom devices such as
dielectric barrier discharge plasma reactors have reached up to                        The variables S, T , E, and D are the strain, stress, electric
                                                                                    field, and electric displacement. The constants sE , dt , d, and
                                                                                    εT are tensors representing the elasticity, indirect piezoelectric
   Manuscript received April 30, 2012; revised July 27, 2012, September 5,
2012, and October 10, 2012; accepted October 25, 2012. Date of publication
                                                                                    strain constant, direct piezoelectric strain constant, and permit-
November 15, 2012; date of current version January 4, 2013. This work was           tivity. The material property tensors of piezoelectric materials
supported in part by Los Alamos National Laboratory, by Qynergy Corporation,        can be simplified with the piezoelectric coupling coefficient k
and by the Office of Naval Research.
   B. Gall, S. D. Kovaleski, J. A. VanGordon, P. Norgard, B. H. Kim, and
                                                                                    which is defined as the square root of the ratio of available
J. W. Kwon are with the Department of Electrical and Computer Engineering,          energy in electrical form to the total input mechanical energy
University of Missouri, Columbia, MO 65211 USA (e-mail: kovaleskis@                 (direct) or the square root of the ratio of available energy in
missouri.edu).
   A. Benwell is with the Electrodynamics Department, RFARED, SLAC
                                                                                    mechanical form to the total input electrical energy (indirect)
National Accelerator Laboratory, Menlo Park, CA 94025 USA (e-mail:                  [16]. The following shows examples of expressions for k:
abenwell@slac.stanford.edu).
   G. E. Dale is with the High Power Electrodynamics Group, Accelera-                                                 d23
tor and Operations Technology Division, Los Alamos National Laboratory,                                     k23 =
Los Alamos, NM 87541, USA (e-mail: gedale@lanl.gov).
                                                                                                                     s E εT
                                                                                                                       22 33
   Color versions of one or more of the figures in this paper are available online                                     d33
at http://ieeexplore.ieee.org.                                                                              k33 =              .                  (3)
   Digital Object Identifier 10.1109/TPS.2012.2227250                                                                 s E εT
                                                                                                                       33 33

                                                                  0093-3813/$31.00 © 2012 IEEE
GALL et al.: INVESTIGATION OF PIEZOELECTRIC EFFECT AS MEANS TO GENERATE X-RAYS                                                                              107




Fig. 1.   Bar-shaped piezoelectric material for increasing an applied voltage.


                                                                                  Fig. 2. Simulated voltage gain versus frequency of a lithium niobate bar. Gain
   A mass of lithium niobate in the shape of a flat bar is shown                   is normalized to maximum gain value.
in Fig. 1. A detailed description of the material properties of
lithium niobate can be found in a number of sources [16]–[19].
The primary geometric axes of the bar in Fig. 1 are x1 , x2 , and
x3 , and the secondary axes x2 and x3 are rotated by an angle
θ about the primary axis x1 [20]. This rotation indicates the
crystallographic polarization direction of the lithium niobate.
Input electrodes, shown as gray regions on the top and bottom
(not visible) surfaces of the bar in Fig. 1, are used to deliver
electrical power to the crystal. Electric fields in the x3 -direction
couple into mechanical displacements in the x2 -direction as                      Fig. 3. Piezoelectric transformer equivalent circuit model.
a result of the rotated polarization, and an output voltage is
produced at the extremity of the bar. This is known as the length
extensional mode [21].
   The voltage gain can be maximized by satisfying two criteria.
First, the product of the piezoelectric coupling coefficients
k23 and k33 should be maximized. The value of the product
k22 k32 has been found to be a maximum of approximately 0.3
when the polarization of lithium niobate is rotated by 45◦ [20].
Second, the piezoelectric bar should be driven at or near its
natural mechanical resonance. The resonant frequency ωn is                        Fig. 4. Experimental setup to generate X-rays using a piezoelectric crystal.
determined by material properties and the dimensions of the
bar, shown in the following [13]:                                                                      III. E XPERIMENTAL S ETUP
                                                                                     The piezoelectric crystals used in this experiment were
                                   nπ         sE
                              ωn =               .                          (4)   100 mm × 10 mm × 1.5 mm slabs of lithium niobate rotated
                                    l          ρ                                  45◦ about the x1 -axis, as shown in Fig. 1. Electrodes were
                                                                                  applied using silver paint with a measured layer thickness
The variables l, sE , and ρ are the length of the bar in the                      of approximately 50 μm. High field electron emitters were
x2 -direction, the elasticity tensor, and the density of the ma-                  fabricated from 0.1-mm-diameter platinum–iridium wire [23],
terial. The integer value n indicates the harmonic mode of                        cut to approximately 1 mm in length, and adhered to the high-
resonance. The plot in Fig. 2 was generated from solutions of                     voltage output of the crystal with silver paint. Fig. 4 shows the
a 1-D piezoelectric model based on the material constants for                     experimental setup for the piezoelectric X-ray source. All ex-
lithium niobate to demonstrate the voltage gain dependence on                     periments were conducted at pressures below 10−3 torr because
operating frequency [22].                                                         this was the threshold pressure for X-ray production. Finite-
   An equivalent circuit model for the piezoelectric transformer                  element simulations indicated that a maximum mechanical dis-
is shown in Fig. 3. A sinusoidal voltage source Vin drives                        placement of approximately 10 μm occurred at each extremity
the transformer input, which is modeled as a capacitor Cin                        of the bar with a displacement null located near its center [24].
representing the capacitance between the two input electrodes.                    For this reason, the crystal was clamped with an expanded
A step-up transformer models the voltage gain and the isolation                   polymer sponge at its center to reduce mechanical damping.
between the input and output terminals of the piezoelectric                          The high voltage at the crystal output was indirectly mea-
transformer. The output of the transformer is modeled as a                        sured using the bremsstrahlung spectra produced when the
capacitor Cout . The electron beam is modeled as a series of                      accelerated electron beam struck the stainless steel vacuum
diode and resistor with a parallel capacitor. The output and                      chamber walls. Electron trajectories were determined using
input of the transformer share a mutual ground.                                   finite-element ray tracing software [24], shown in Fig. 4 as
108                                                                       IEEE TRANSACTIONS ON PLASMA SCIENCE, VOL. 41, NO. 1, JANUARY 2013



                             TABLE I
       P ERTINENT D ECAY P ROPERTIES OF C D -109 AS AN X-R AY
                  D ETECTOR C ALIBRATION S OURCE




                                                                          Fig. 6. System diagram for the basic experimental configuration for piezo-
                                                                          electric crystal operation. (A) Low-voltage ac drive signal at 25–50 mVmax
                                                                          and 30.7 kHz. (T1 and T2) Falling edge trigger and gate signal for PX4. (B1,
                                                                          B2, and B3) High-voltage ac drive signal at 10–20 Vmax to Pearson coil,
                                                                          oscilloscope, and crystal. (D) Crystal-generated X-ray flux. (E) Raw analog
                                                                          X-ray detector signal. (F) Digital spectrum data.




Fig. 5. Sample calibration spectrum using the CdTe X-ray detector for a
Cd-109 radioisotope calibration source.


dotted lines. Bremsstrahlung interactions occurred at the walls
of the port, and an Amptek XR-100T CdTe γ/X-ray detector
with 1.5-keV FWHM energy resolution and 4.0-μs resolving
time was used to record the X-ray spectra through a 50-μm-
thick aluminum window. A PX4 pulse processor was used to
digitize the spectrum for viewing on a PC. In this configuration,
the noise introduced by the PX4 signal gain was negligible                Fig. 7.   Input voltage and current traces for a resonating piezoelectric crystal.
because it was several orders of magnitude less than the noise
produced by the CdTe detector itself [25]. The detector was               in Fig. 6 shows this setup. An example of a typical resonant
placed very near to this window to maximize the geometric                 burst pulse used to drive the crystal is shown in Fig. 7. The
efficiency of the detector and increase the signal–noise ratio.            input voltage amplitude diminished throughout the pulse, while
   The MCA was calibrated using a Spectrum Techniques                     the input current amplitude increased, an indication that the
1-μCi Cd-109 calibration source for the CdTe X-ray detector.              resonant frequency had been reached [13]. The drive frequency
Cd-109 is a convenient choice because it has prominent peaks              was in agreement with the modeled resonant frequency in
at 22 and 88 keV, providing an accurate calibration throughout            Fig. 2, ranging between 30.6 and 30.9 kHz.
the range of the spectrum [26]. A peak at 24.9 keV was used as a             A gate signal was applied to an Amptek PX4 digital pulse
third point to verify the calibration. A lower level discriminator        processor in order to decrease the effect of background radi-
was fixed, and the MCA gain was set to 9.1 throughout the                  ation during sampling intervals. This was done because the
experiment, producing a range of detectable X-ray energy                  crystal is operated in a pulsed mode with a duty cycle of ap-
from 8 to 140 keV. Table I shows select decay properties of               proximately 9% to limit mechanical failure of the crystal [13].
Cd-109. Fig. 5 shows a sample calibration spectrum of the                 The gate signal pulse is shown in Fig. 7 as an encapsulation of
Cd-109 source.                                                            the applied burst pulse and the immediately subsequent ring-
   An Agilent 33210A function generator was used to produce               down. This portion of the ring-down was arbitrarily defined
the ac voltage to drive the piezoelectric crystal. An Amplifier            as the 5 ms after the pulse and was included to count X-rays
Research KAA1020 25-W 43-dB RF power amplifier was used                    measured during this time. A 90-μs zoomed view shows that the
to amplify the drive voltage to 11–16 Vmax . At drive voltages            current and voltage waveforms are in phase with one another at
lower than this range, X-ray production was not observed, and             resonance.
at higher voltages, the piezoelectric crystal tended to fracture
due to exceeding the yield strength of lithium niobate (between
                                                                                                          IV. R ESULTS
30 and 120 MPa) [19]. A Pearson 2877 current monitor with
1-V/A output sensitivity measured the input current to the                   X-ray spectra were recorded which demonstrate that a piezo-
crystal. A Tektronix TDS 2024B oscilloscope was used to                   electric crystal designed to operate in the length extensional
measure crystal input voltage and current. The system diagram             mode was capable of producing X-rays with energies up to
GALL et al.: INVESTIGATION OF PIEZOELECTRIC EFFECT AS MEANS TO GENERATE X-RAYS                                                                          109




                                                                                  Fig. 9. Same spectrum from Test 1 presented in total counts to demonstrate
                                                                                  time-dependent count rate reduction.
Fig. 8. Collection of nine high-energy X-ray tests under a variety of operating
conditions using a piezoelectric crystal. Spectra are presented in counts per     output of the piezoelectric crystal and the effective resistance
second, and background was normalized and subtracted from each spectrum.
Duration for each test was between 30 and 60 s.
                                                                                  of the electron beam due to field emitter quality. Models have
                                                                                  shown that this 50-Ω variability in input impedance changes the
                             TABLE II                                             input power by ±100 mW, in agreement with the experimen-
X-R AY S PECTRUM I NFORMATION FOR F IG .8. D URATION FOR A LL T ESTS              tally observed range of input powers. The input voltage varied
          I S B ETWEEN 30 AND 60 s. (∗ I NDICATES T EST W ITH
                   D EUTERIUM BACKGROUND G AS )                                   between 11 and 16 V in amplitude. Comparing this value with
                                                                                  the X-ray spectrum data in Fig. 8, the maximum measured gain
                                                                                  of the piezoelectric transformer source was between 7.9 and
                                                                                  11.5 kV/V.
                                                                                     An expression for the maximum electron beam current was
                                                                                  computed by applying energy conservation laws to the piezo-
                                                                                  electric transformer. The piezoelectric transformer model is
                                                                                  analogous to that of the conventional magnetic core transformer
                                                                                  such that the output current can be determined if the output
                                                                                  voltage and input power are known, as shown in

                                                                                                           Pin = Vout × Iout .                          (5)
127 keV under several different conditions. A collection of
nine different X-ray spectra are shown in Fig. 8. Table II                           Using the data from Test 1, the input voltage and current
gives pertinent data for the spectra in Fig. 8 and shows that                     amplitudes were 16 V and 79 mA, respectively. Converting
high voltage was achieved with various pressures and crystal                      these values to rms and multiplying yield an input power of
samples. Test 9 shows that the piezoelectric crystal reached                      632 mW. The peak output voltage was recorded to be 127 kV
127 keV in a deuterium environment at 770 μtorr, demonstrat-                      or 89.8 kV rms, and solving for Iout in (5) yields an rms current
ing that the method is viable in low-pressure gas applications.                   of 7 μA or a peak current of approximately 10 μA.
The spectra were binned to decrease counting error and improve                       An unexpected observation was made during this experiment
endpoint determination. Some energy resolution is sacrificed                       regarding the time-dependent X-ray output of the piezoelectric
due to the binning process. As a result, each energy level                        crystal. It was found that X-ray count rate and maximum
corresponds approximately to a ±7-keV range, and a precise                        X-ray energy both decreased as testing runtime progressed.
endpoint energy cannot be obtained. However, as the primary                       This limited data collection to approximately 1 min of active
goal of this work is to verify high-energy X-ray production, this                 collection time. The spectrum in Fig. 9 was generated from the
reduction of energy resolution is acceptable.                                     spectral data from Test 1, showing the total counts collected
   Of the nine spectra shown, five produced X-rays with an                         within two successive time periods, each lasting 60 s. The iron
endpoint energy of at least 127 keV. The variation in count                       kα peak of 6.4 keV was visible at both times, but there were two
rate among observations was due to uncontrolled factors such                      orders of magnitude of separation between the total counts in
as field emitter quality and variability in stray capacitances                     each of the time periods. The maximum X-ray energy recorded
at the output. Background counts were subtracted from each                        in the first 60 s reached the 127-keV bin according to Fig. 8,
recorded spectrum, and only statistically significant count rates                  but Fig. 9 shows that this decreased to about 15 keV in the
are shown. Error bars correspond to one standard deviation of                     next 60 s.
error and include the propagation of background counting error.                      One explanation for the decrease in X-ray count rate is
   The function generator was fixed at a constant voltage;                         that electron beam transport discharged the output capacitance
however, input power varied between 312 and 720 mW among                          of the transformer. The circuit model in Fig. 3 shows that
observations. Modeling has indicated that variations in output                    a current return path was not available to the output of the
impedance can change the input impedance of the piezoelectric                     transformer, which prevented charge neutralization at the output
crystal by as much as 50 Ω. This variation in impedance is                        while the beam was off. Due to the low output capacitance
due to uncontrolled parameters such as stray capacitance at the                   of the transformer (calculated to be between 0.1 and 1 pF),
110                                                                                  IEEE TRANSACTIONS ON PLASMA SCIENCE, VOL. 41, NO. 1, JANUARY 2013



positive charge that accumulated at the output reduced the                            [8] J. Yang, “Piezoelectric transformer structural modeling—A review,” IEEE
output voltage magnitude [27]. This drop in voltage reduced the                           Trans. Ultrason., Ferroelect., Freq. Control, vol. 54, no. 6, pp. 1154–1170,
                                                                                          Jun. 2007.
electric field necessary for electron field emission, resulting in a                    [9] L. Hwang, J. Yoo, E. Jang, D. Oh, Y. Jeong, I. Ahn, and M. Cho, “Fab-
drop in current as described by the Fowler–Nordheim equation.                             rication and characteristics of PDA LCD backlight driving circuits using
The following shows the Fowler–Nordheim equation showing                                  piezoelectric transformer,” Sens. Actuators A, Phys., vol. 15, no. 1, pp. 73–
                                                                                          78, Sep. 2004.
that the electron beam current density J is dependent on electric                    [10] P. Bolhuis, “Gas discharge flash lamp with piezoelectric trigger genera-
field E among other factors such as surface work function                                  tor,” U.S. Patent 4 082 985, Apr. 4, 1978.
φ, permittivity , and a dimensionless image force function                           [11] Y. Park, “Electrical properties of a piezoelectric transformer for an
                                                                                          AC–DC converter,” J. Korean Phys. Soc., vol. 57, no. 4, pp. 1131–1133,
f (y) [28]:                                                                               Oct. 2010.
                                                                                     [12] H. Itoh, K. Teranishi, and S. Suzuki, “Discharge plasmas generated by
                                    E2                     3                              piezoelectric transformers and their applications,” Plasma Sources Sci.
          J = 1.54 × 10−6                    −6.83×109 φ 2 f (y)/E
                                                                     .        (6)         Technol., vol. 15, no. 2, pp. S51–S61, May 2006.
                                    φ                                                [13] A. L. Benwell, “A high voltage piezoelectric transformer for active inter-
                                                                                          rogation,” Ph.D. dissertation, Univ. Missouri-Columbia, Columbia, MO,
Assuming that all other variables are fixed, a drop in voltage                             2009.
                                                                                     [14] S. D. Kovaleski, A. Benwell, E. Baxter, B. T. Hutsel, T. Wacharasindhu,
at the transformer output due to discharging by the beam                                  and J. W. Kwon, “Ultra-compact piezoelectric transformer charged par-
leads to a decrease in beam current, thus reducing the X-ray                              ticle acceleration,” in Proc. Int. Workshop Micro Nanotechnol. Power
production rate of the system. The time-dependent decrease in                             Gener. Energy Convers. Appl., Washington, DC, Dec. 2009, pp. 399–402.
                                                                                     [15] IEEE Standard on Piezoelectricity, ANSI/IEEE Std. 176-1987, 1988.
counts could be mitigated by either increasing the capacitance                       [16] H. Jaffe and D. Berlincourt, “Piezoelectric transducer materials,” Proc.
or incorporating a current return path at the transformer output.                         IEEE, vol. 53, no. 10, pp. 1372–1386, Oct. 1965.
                                                                                     [17] R. S. Weis and T. K. Gaylord, “Lithium niobate: Summary of physical
                                                                                          properties and crystal structure,” Appl. Phys. A, vol. 37, no. 4, pp. 191–
                                                                                          203, Aug. 1985.
                             V. C ONCLUSION                                          [18] Lithium Niobate/Lithium Tantalate, I. Crystal Technology.
                                                                                     [19] K. K. Wong, Properties of Lithium Niobate. Maple Grove, MN:
   The data presented in this paper demonstrate how the piezo-                            Northstar Photonics, Inc, 2002.
electric effect can be used to generate X-rays with energies                         [20] K. Nakamura and Y. Adachi, “Piezoelectric transformers using LiNbO3
                                                                                          single crystals,” Electron. Commun. Jpn. (Part III: Fundam. Electron.
up to 127±7 keV. A lithium niobate piezoelectric crystal was                              Sci.), vol. 81, no. 7, pp. 1–6, Jul. 1998.
designed to reach high voltages by electromechanically cou-                          [21] J. Yang and X. Zhang, “Extensional vibration of a nonuniform piezoce-
pling a low-amplitude ac voltage to a high-amplitude output                               ramic rod and high voltage generation,” Int. J. Appl. Electromagn. Mech.,
                                                                                          vol. 16, no. 1, pp. 29–42, Jan. 2002.
voltage. Electron field emitters that were adhered to the surface                     [22] J. Yang, An Introduction to the Theory of Piezoelectricity, vol. 9, Advances
of the crystal directly extracted charge from the material. This                          in Mechanics and Mathematics. New York: Springer-Verlag, 2005.
charge was then accelerated by the electric fields generated by                       [23] C. Bai, Scanning Tunneling Microscopy and Its Applications, 2nd ed.
                                                                                          Shanghai, China: Scientific & Technical Publ., 1995.
the crystal into a grounded metallic target. Interactions between                    [24] Comsol Multiphysics.
the high-voltage electron beam and the metallic target produced                      [25] Personal Communication With Amptek Technical Staff, Aug. 2012.
bremsstrahlung X-ray radiation. Discharging of the output ca-                        [26] Amptek, Inc, 14 Deangelo Drive Bedford, MA 01730 USA, How to
                                                                                          Change the Full Scale Energy Range and Calibrate the Software.
pacitance due to electron beam transport may have hindered                           [27] J. A. VanGordon, B. Gall, P. Norgard, S. Kovaleski, E. Baxter, B. Kim,
X-ray production rates and maximum energy as runtime in-                                  J. Kwon, and G. Dale, “Effects of capacitive versus resistive loading on
creased. As a result, X-ray production was limited to intervals                           high transformation ratio piezoelectric transformers for modular design
                                                                                          considerations,” in Proc. IEEE Int. High Voltage Power Modul. Conf.,
lasting approximately 60 s at a time. A complete characteri-                              Jun. 2012.
zation of the piezoelectric X-ray source will be possible once                       [28] R. L. Ramey, Physical Electronics. Belmont, CA: Wadsworth Publ.
the limitation to device runtime is resolved. To increase the                             Comp., 1961.
duration of X-ray production, a current return path may need
to be implemented which would prevent discharging at the
transformer output.

                               R EFERENCES
 [1] R. Talman, Accelerator X-Ray Sources. Hoboken, NJ: Wiley-VCH,
     2006.
 [2] H. Bizek, “The advanced photon source list of parameters,” Argonne Nat.
     Lab., Lemont, IL, Tech. Rep., Jul. 1996.
 [3] F. Pfeiffer, “Hard x-ray phase tomography with low-brilliance sources,”
     Phys. Rev. Let., vol. 98, no. 10, pp. 108 105-1–108 105-4, Mar. 2007.
 [4] J. A. Geuther and Y. Danon, “High-energy x-ray production with pyro-
     electric crystals,” J. Appl. Phys., vol. 97, no. 10, pp. 104 916-1–104 916-5,                              Brady Gall (S’09) received the B.S. and M.S. de-
     May 2005.                                                                                                  grees in electrical engineering from the University of
 [5] W. Tornow, S. Lynam, and S. Shafroth, “Substantial increase in acceler-                                    Missouri, Columbia, in 2009 and 2012, respectively.
     ation potential of pyroelectric crystals,” J. Appl. Phys., vol. 107, no. 6,                                   He is currently a Graduate Research Assistant with
     pp. 063302-1–063302-4, Mar. 2010.                                                                          the Department of Electrical and Computer Engi-
 [6] J. Hird, “A triboelectric x-ray source,” Appl. Phys. Lett., vol. 98, no. 13,                               neering, University of Missouri, under the advise-
     pp. 133 501-1–133 501-3, Mar. 2011.                                                                        ment of Scott D. Kovaleski. His research focuses on
 [7] A. Benwell, S. Kovaleski, and M. Kemp, “A resonantly driven piezoelec-                                     the testing and optimization of high-voltage piezo-
     tric transformer for high voltage generation,” in Proc. IEEE Int. Power                                    electric sources for the production and acceleration
     Modul. High Volt. Conf., May 2008, pp. 113–116.                                                            of charged particles.
GALL et al.: INVESTIGATION OF PIEZOELECTRIC EFFECT AS MEANS TO GENERATE X-RAYS                                                                               111



                            Scott D. Kovaleski (M’99–SM’09) received the B.S.     Baek Hyun Kim (M’11) received the B.A. degree in physics from Chungnam
                            degree in nuclear engineering from Purdue Univer-     National University, Daejeon, Korea, in 2001 and the M.S. and Ph.D. degrees
                            sity, West Lafayette, IN, and the M.S. and Ph.D.      in materials science and engineering from the Gwangju Institute of Science and
                            degrees in nuclear engineering with a specialty in    Technology, Gwangju, Korea, in 2003 and 2008, respectively.
                            plasma physics from the University of Michigan,          In 2008, he joined the Department of Materials Science and Engineering,
                            Ann Arbor.                                            Carnegie Mellon University, Pittsburgh, PA, as a Postdoctoral Research As-
                               From the University of Michigan, he moved on       sociate. Since 2010, he has been a Postdoctoral Fellow with the Department
                            to General Electric (GE) Lighting, where he was       of Electrical and Computer Engineering, University of Missouri, Columbia.
                            a Product Scientist working on quartz metal halide    His research interests include low-dimensional nanostructures and optical and
                            arc lamps. From GE Lighting, he became a Con-         electrical devices using low-dimensional nanostructures.
                            tractor with Glenn Research Center, NASA, where          Dr. Kim is a member of the Materials Research Society, Korean Physical
he worked on the International Space Station plasma contactor and on ion          Society, and Korean Vacuum Society.
propulsion. Since 2003, he has been with the University of Missouri, Columbia,
where he has worked on numerous research projects in the areas of compact
accelerators, plasma and ion sources, electric propulsion, and pulsed power. He   Jae Wan Kwon (S’96–M’04) received the B.S. degree in electronics engineer-
and his students have conducted studies in pulsed-power engineering relevant      ing from Kyungpook National University, Daegu, Korea, in 1994 and the M.S.
to flashover insulation of high-voltage accurate laser triggering of gas-filled     and Ph.D. degrees in electrical engineering from the University of Southern
switches and solid-state pulsed-power switching. He has developed and studied     California, Los Angeles, in 1997 and 2004, respectively.
compact ion accelerators and ion sources based on piezoelectric transformer          He is currently an Associate Professor with the Department of Electrical and
high-voltage sources for space propulsion and compact neutron generators. His     Computer Engineering, University of Missouri, Columbia, where he also holds
research interests include nuclear science, accelerators and plasmas, energetic   a courtesy appointment with the Department of Biological Engineering. His
particle sources, and related technologies.                                       research interests include micro-/nanoelectromechanical systems, micro power
   Dr. Kovaleski is a member of the American Physical Society and the             sources, microfabrication processing technology, piezoelectric transducers, mi-
American Nuclear Society.                                                         crofluidic systems, biomedical microsystems, and nanotechnology.
                                                                                     Prof. Kwon was a recipient of the NSF CAREER Award, Missouri Honor
                                                                                  Junior Faculty Research Award, Outstanding Paper Award in the IEEE In-
                                                                                  ternational Conference on Solid-State Sensors, Actuators and Microsystems
                          James A. VanGordon (S’07) received the B.S. and         (Transducers 2009), and the Best New Application Paper Award from IEEE
                          M.S. degrees in electrical engineering from the Uni-    T RANSACTIONS ON AUTOMATION S CIENCE AND E NGINEERING (2006). He
                          versity of Missouri, Columbia, in 2008 and 2010,        has been serving on the Technical Program Committees of the International
                          respectively, where he is currently working toward      Workshop on Micro and Nanotechnology (PowerMEMS), the IEEE Conference
                          the Ph.D. degree in electrical engineering.             on Sensors, and the Hilton Head Solid-State Sensors, Actuators and Microsys-
                             His research interests include pulsed-power sys-     tems Workshop.
                          tems, power electronics, and high-voltage circuit
                          design.
                             Mr. VanGordon is a student member of the Insti-      Gregory E. Dale (S’97–M’03) received the B.S. degree in nuclear engineering
                          tute of Nuclear Materials Management.                   from The University of New Mexico, Albuquerque, in 1995, the M.S. degree
                                                                                  in nuclear engineering with a minor in physics from North Carolina State
                                                                                  University, Raleigh, in 1998, and the Ph.D. degree in electrical engineering
                                                                                  from the University of Missouri, Columbia, in 2003.
                                                                                     Upon completing his dissertation, he joined Los Alamos National Laboratory
Peter Norgard (S’02–M’09) received the M.S. and Ph.D. degrees in electrical
                                                                                  (LANL), Los Alamos, NM, as a Technical Staff Member developing solid-
engineering from the University of Missouri, Columbia, in 2006 and 2009,
                                                                                  state pulsed-power modulators for compact accelerator systems. He is currently
respectively.
                                                                                  a Project Leader with the High Power Electrodynamics Group, Accelerator
   He is currently a Postdoctoral Research Fellow with the University of
                                                                                  and Operations Technology Division, LANL. In this capacity, he is in charge
Missouri, where he is conducting research on ion sources and accelerators and
                                                                                  of several compact radiography, pulsed-power, compact neutron source, and
on electrooptic voltage and current diagnostic techniques.
                                                                                  accelerator production medical radioisotope projects. He has experience in
                                                                                  experimental research, solid-state modulators, electron accelerators, nuclear
                                                                                  medicine, radiography, electrothermal plasma guns, first-wall components in
                                                                                  tokamak fusion reactors, radiation shielding, and radiation detection.
Andrew Benwell (M’09), photograph and biography not available at the time            Dr. Dale serves on the Executive Committee of the International Power
of publication.                                                                   Modulator and High Voltage Conference.

Contenu connexe

Tendances

Optimization of electric energy density in epoxy aluminium nanocomposite
Optimization of electric energy density in epoxy aluminium nanocompositeOptimization of electric energy density in epoxy aluminium nanocomposite
Optimization of electric energy density in epoxy aluminium nanocompositeiaemedu
 
CEC Symposium Poster - Vineet J Nair
CEC Symposium Poster - Vineet J NairCEC Symposium Poster - Vineet J Nair
CEC Symposium Poster - Vineet J NairVineet Nair
 
Acs.energyfuels.1c03300
Acs.energyfuels.1c03300Acs.energyfuels.1c03300
Acs.energyfuels.1c03300Ary Assuncao
 
Performance comparison of selection nanoparticles for insulation of three cor...
Performance comparison of selection nanoparticles for insulation of three cor...Performance comparison of selection nanoparticles for insulation of three cor...
Performance comparison of selection nanoparticles for insulation of three cor...IJECEIAES
 
Study of hlgs and transfer integrals of dna bases for investigating charge co...
Study of hlgs and transfer integrals of dna bases for investigating charge co...Study of hlgs and transfer integrals of dna bases for investigating charge co...
Study of hlgs and transfer integrals of dna bases for investigating charge co...IAEME Publication
 
1 s2.0-s2666386421001661-main
1 s2.0-s2666386421001661-main1 s2.0-s2666386421001661-main
1 s2.0-s2666386421001661-mainAry Assuncao
 
Nanomaterials 11-03246-v2
Nanomaterials 11-03246-v2Nanomaterials 11-03246-v2
Nanomaterials 11-03246-v2Ary Assuncao
 
Recent progress in non platinum counter electrode materials for dye sensitize...
Recent progress in non platinum counter electrode materials for dye sensitize...Recent progress in non platinum counter electrode materials for dye sensitize...
Recent progress in non platinum counter electrode materials for dye sensitize...Science Padayatchi
 
Dielectic measurement final
Dielectic measurement finalDielectic measurement final
Dielectic measurement finalNiranjan Gupta
 
Recent progress in non platinum counter electrode materials for dye sensitize...
Recent progress in non platinum counter electrode materials for dye sensitize...Recent progress in non platinum counter electrode materials for dye sensitize...
Recent progress in non platinum counter electrode materials for dye sensitize...Science Padayatchi
 
Micro-Supercapacitor
Micro-SupercapacitorMicro-Supercapacitor
Micro-Supercapacitorletunglinh
 
Coupled mechanical thermal model a6 04
Coupled mechanical thermal model a6 04Coupled mechanical thermal model a6 04
Coupled mechanical thermal model a6 04venugopalan srinivasan
 
Electronicdevicescircuits 140517065905-phpapp01
Electronicdevicescircuits 140517065905-phpapp01Electronicdevicescircuits 140517065905-phpapp01
Electronicdevicescircuits 140517065905-phpapp01lecturer in M.I.T
 
The Effect of Plasma-Treated Boron Nitride on Partial Discharge Characteristi...
The Effect of Plasma-Treated Boron Nitride on Partial Discharge Characteristi...The Effect of Plasma-Treated Boron Nitride on Partial Discharge Characteristi...
The Effect of Plasma-Treated Boron Nitride on Partial Discharge Characteristi...IJECEIAES
 
Dielectric property of chromium oxide nanoparticles
Dielectric property of chromium oxide nanoparticlesDielectric property of chromium oxide nanoparticles
Dielectric property of chromium oxide nanoparticlesGaurav Yogesh
 

Tendances (20)

Optimization of electric energy density in epoxy aluminium nanocomposite
Optimization of electric energy density in epoxy aluminium nanocompositeOptimization of electric energy density in epoxy aluminium nanocomposite
Optimization of electric energy density in epoxy aluminium nanocomposite
 
CEC Symposium Poster - Vineet J Nair
CEC Symposium Poster - Vineet J NairCEC Symposium Poster - Vineet J Nair
CEC Symposium Poster - Vineet J Nair
 
Acs.energyfuels.1c03300
Acs.energyfuels.1c03300Acs.energyfuels.1c03300
Acs.energyfuels.1c03300
 
Performance comparison of selection nanoparticles for insulation of three cor...
Performance comparison of selection nanoparticles for insulation of three cor...Performance comparison of selection nanoparticles for insulation of three cor...
Performance comparison of selection nanoparticles for insulation of three cor...
 
Study of hlgs and transfer integrals of dna bases for investigating charge co...
Study of hlgs and transfer integrals of dna bases for investigating charge co...Study of hlgs and transfer integrals of dna bases for investigating charge co...
Study of hlgs and transfer integrals of dna bases for investigating charge co...
 
1 s2.0-s2666386421001661-main
1 s2.0-s2666386421001661-main1 s2.0-s2666386421001661-main
1 s2.0-s2666386421001661-main
 
Kl2417741781
Kl2417741781Kl2417741781
Kl2417741781
 
Dielectrics and microwaves
Dielectrics and microwavesDielectrics and microwaves
Dielectrics and microwaves
 
Nanomaterials 11-03246-v2
Nanomaterials 11-03246-v2Nanomaterials 11-03246-v2
Nanomaterials 11-03246-v2
 
Recent progress in non platinum counter electrode materials for dye sensitize...
Recent progress in non platinum counter electrode materials for dye sensitize...Recent progress in non platinum counter electrode materials for dye sensitize...
Recent progress in non platinum counter electrode materials for dye sensitize...
 
Dielectic measurement final
Dielectic measurement finalDielectic measurement final
Dielectic measurement final
 
Recent progress in non platinum counter electrode materials for dye sensitize...
Recent progress in non platinum counter electrode materials for dye sensitize...Recent progress in non platinum counter electrode materials for dye sensitize...
Recent progress in non platinum counter electrode materials for dye sensitize...
 
Micro-Supercapacitor
Micro-SupercapacitorMicro-Supercapacitor
Micro-Supercapacitor
 
Coupled mechanical thermal model a6 04
Coupled mechanical thermal model a6 04Coupled mechanical thermal model a6 04
Coupled mechanical thermal model a6 04
 
Electronicdevicescircuits 140517065905-phpapp01
Electronicdevicescircuits 140517065905-phpapp01Electronicdevicescircuits 140517065905-phpapp01
Electronicdevicescircuits 140517065905-phpapp01
 
dielectric materials
dielectric materialsdielectric materials
dielectric materials
 
08 chapter 1
08 chapter 108 chapter 1
08 chapter 1
 
The Effect of Plasma-Treated Boron Nitride on Partial Discharge Characteristi...
The Effect of Plasma-Treated Boron Nitride on Partial Discharge Characteristi...The Effect of Plasma-Treated Boron Nitride on Partial Discharge Characteristi...
The Effect of Plasma-Treated Boron Nitride on Partial Discharge Characteristi...
 
Unit 4
Unit 4Unit 4
Unit 4
 
Dielectric property of chromium oxide nanoparticles
Dielectric property of chromium oxide nanoparticlesDielectric property of chromium oxide nanoparticles
Dielectric property of chromium oxide nanoparticles
 

Similaire à Investigation of the Piezoelectric Effect as a Means to Generate X-Rays

Dielectric Spectroscopy in Time and Frequency Domain
Dielectric Spectroscopy in Time and Frequency DomainDielectric Spectroscopy in Time and Frequency Domain
Dielectric Spectroscopy in Time and Frequency DomainGirish Gupta
 
E zarkadoula zirconia
E zarkadoula zirconiaE zarkadoula zirconia
E zarkadoula zirconiaMuse Degefe
 
Modeling the Dependence of Power Diode on Temperature and Radiation
Modeling the Dependence of Power Diode on Temperature and RadiationModeling the Dependence of Power Diode on Temperature and Radiation
Modeling the Dependence of Power Diode on Temperature and RadiationIJPEDS-IAES
 
Partially filled electrode for DMF devices
Partially filled electrode for DMF devicesPartially filled electrode for DMF devices
Partially filled electrode for DMF devicesWaleed Salman
 
International Journal of Computational Engineering Research(IJCER)
International Journal of Computational Engineering Research(IJCER)International Journal of Computational Engineering Research(IJCER)
International Journal of Computational Engineering Research(IJCER)ijceronline
 
MRR Improvement in Electrical Discharge Machining
MRR Improvement in Electrical Discharge MachiningMRR Improvement in Electrical Discharge Machining
MRR Improvement in Electrical Discharge MachiningPraveen Kumar Kushwah
 
STUDY OF THE EQUIVALENT CIRCUIT OF A DYESENSITIZED SOLAR CELLS
STUDY OF THE EQUIVALENT CIRCUIT OF A DYESENSITIZED SOLAR CELLSSTUDY OF THE EQUIVALENT CIRCUIT OF A DYESENSITIZED SOLAR CELLS
STUDY OF THE EQUIVALENT CIRCUIT OF A DYESENSITIZED SOLAR CELLSAEIJjournal2
 
Fabrication and studying the dielectric properties of (polystyrene-copper oxi...
Fabrication and studying the dielectric properties of (polystyrene-copper oxi...Fabrication and studying the dielectric properties of (polystyrene-copper oxi...
Fabrication and studying the dielectric properties of (polystyrene-copper oxi...journalBEEI
 
STUDY OF THE EQUIVALENT CIRCUIT OF A DYESENSITIZED SOLAR CELLS
STUDY OF THE EQUIVALENT CIRCUIT OF A DYESENSITIZED SOLAR CELLSSTUDY OF THE EQUIVALENT CIRCUIT OF A DYESENSITIZED SOLAR CELLS
STUDY OF THE EQUIVALENT CIRCUIT OF A DYESENSITIZED SOLAR CELLSAEIJjournal2
 
International Journal of Engineering and Science Invention (IJESI)
International Journal of Engineering and Science Invention (IJESI)International Journal of Engineering and Science Invention (IJESI)
International Journal of Engineering and Science Invention (IJESI)inventionjournals
 
2EU-ISMET, Alessandro Carmona
 2EU-ISMET, Alessandro Carmona 2EU-ISMET, Alessandro Carmona
2EU-ISMET, Alessandro CarmonaIMDEA-Water
 
A study on piezoelectric elements and its utility in designing
A study on piezoelectric elements and its utility in designingA study on piezoelectric elements and its utility in designing
A study on piezoelectric elements and its utility in designingAlexander Decker
 
Effect of calcination on the electrical properties and quantum confinement of...
Effect of calcination on the electrical properties and quantum confinement of...Effect of calcination on the electrical properties and quantum confinement of...
Effect of calcination on the electrical properties and quantum confinement of...eSAT Publishing House
 
Effect of calcination on the electrical properties and quantum confinement of...
Effect of calcination on the electrical properties and quantum confinement of...Effect of calcination on the electrical properties and quantum confinement of...
Effect of calcination on the electrical properties and quantum confinement of...eSAT Journals
 
Electrical transport properties of nanocrystalline and bulk nickel.pdf
Electrical transport properties of nanocrystalline and bulk nickel.pdfElectrical transport properties of nanocrystalline and bulk nickel.pdf
Electrical transport properties of nanocrystalline and bulk nickel.pdfProximaCentauri15
 

Similaire à Investigation of the Piezoelectric Effect as a Means to Generate X-Rays (20)

W4409126130
W4409126130W4409126130
W4409126130
 
Dielectric Spectroscopy in Time and Frequency Domain
Dielectric Spectroscopy in Time and Frequency DomainDielectric Spectroscopy in Time and Frequency Domain
Dielectric Spectroscopy in Time and Frequency Domain
 
E zarkadoula zirconia
E zarkadoula zirconiaE zarkadoula zirconia
E zarkadoula zirconia
 
Modeling the Dependence of Power Diode on Temperature and Radiation
Modeling the Dependence of Power Diode on Temperature and RadiationModeling the Dependence of Power Diode on Temperature and Radiation
Modeling the Dependence of Power Diode on Temperature and Radiation
 
Partially filled electrode for DMF devices
Partially filled electrode for DMF devicesPartially filled electrode for DMF devices
Partially filled electrode for DMF devices
 
International Journal of Computational Engineering Research(IJCER)
International Journal of Computational Engineering Research(IJCER)International Journal of Computational Engineering Research(IJCER)
International Journal of Computational Engineering Research(IJCER)
 
MRR Improvement in Electrical Discharge Machining
MRR Improvement in Electrical Discharge MachiningMRR Improvement in Electrical Discharge Machining
MRR Improvement in Electrical Discharge Machining
 
Diaz payen
Diaz payenDiaz payen
Diaz payen
 
STUDY OF THE EQUIVALENT CIRCUIT OF A DYESENSITIZED SOLAR CELLS
STUDY OF THE EQUIVALENT CIRCUIT OF A DYESENSITIZED SOLAR CELLSSTUDY OF THE EQUIVALENT CIRCUIT OF A DYESENSITIZED SOLAR CELLS
STUDY OF THE EQUIVALENT CIRCUIT OF A DYESENSITIZED SOLAR CELLS
 
Fabrication and studying the dielectric properties of (polystyrene-copper oxi...
Fabrication and studying the dielectric properties of (polystyrene-copper oxi...Fabrication and studying the dielectric properties of (polystyrene-copper oxi...
Fabrication and studying the dielectric properties of (polystyrene-copper oxi...
 
08 chapter 1 (1)
08 chapter 1 (1)08 chapter 1 (1)
08 chapter 1 (1)
 
STUDY OF THE EQUIVALENT CIRCUIT OF A DYESENSITIZED SOLAR CELLS
STUDY OF THE EQUIVALENT CIRCUIT OF A DYESENSITIZED SOLAR CELLSSTUDY OF THE EQUIVALENT CIRCUIT OF A DYESENSITIZED SOLAR CELLS
STUDY OF THE EQUIVALENT CIRCUIT OF A DYESENSITIZED SOLAR CELLS
 
J0262058062
J0262058062J0262058062
J0262058062
 
J0262058062
J0262058062J0262058062
J0262058062
 
International Journal of Engineering and Science Invention (IJESI)
International Journal of Engineering and Science Invention (IJESI)International Journal of Engineering and Science Invention (IJESI)
International Journal of Engineering and Science Invention (IJESI)
 
2EU-ISMET, Alessandro Carmona
 2EU-ISMET, Alessandro Carmona 2EU-ISMET, Alessandro Carmona
2EU-ISMET, Alessandro Carmona
 
A study on piezoelectric elements and its utility in designing
A study on piezoelectric elements and its utility in designingA study on piezoelectric elements and its utility in designing
A study on piezoelectric elements and its utility in designing
 
Effect of calcination on the electrical properties and quantum confinement of...
Effect of calcination on the electrical properties and quantum confinement of...Effect of calcination on the electrical properties and quantum confinement of...
Effect of calcination on the electrical properties and quantum confinement of...
 
Effect of calcination on the electrical properties and quantum confinement of...
Effect of calcination on the electrical properties and quantum confinement of...Effect of calcination on the electrical properties and quantum confinement of...
Effect of calcination on the electrical properties and quantum confinement of...
 
Electrical transport properties of nanocrystalline and bulk nickel.pdf
Electrical transport properties of nanocrystalline and bulk nickel.pdfElectrical transport properties of nanocrystalline and bulk nickel.pdf
Electrical transport properties of nanocrystalline and bulk nickel.pdf
 

Plus de Carlos Bella

Offshore fresh groundwater reserves as a global phenomenon
Offshore fresh groundwater reserves as a global phenomenonOffshore fresh groundwater reserves as a global phenomenon
Offshore fresh groundwater reserves as a global phenomenonCarlos Bella
 
Revealing letters in rolled Herculaneum papyri by X-ray phase-contrast imaging
Revealing letters in rolled Herculaneum papyri by X-ray phase-contrast imagingRevealing letters in rolled Herculaneum papyri by X-ray phase-contrast imaging
Revealing letters in rolled Herculaneum papyri by X-ray phase-contrast imagingCarlos Bella
 
Animal behaviour: Incipient tradition in wild chimpanzees
Animal behaviour: Incipient tradition in wild chimpanzeesAnimal behaviour: Incipient tradition in wild chimpanzees
Animal behaviour: Incipient tradition in wild chimpanzeesCarlos Bella
 
Cohesive forces prevent the rotational breakup of rubble-pile asteroid (29075...
Cohesive forces prevent the rotational breakup of rubble-pile asteroid (29075...Cohesive forces prevent the rotational breakup of rubble-pile asteroid (29075...
Cohesive forces prevent the rotational breakup of rubble-pile asteroid (29075...Carlos Bella
 
Detection of Radio Emission from Fireballs
Detection of Radio Emission from FireballsDetection of Radio Emission from Fireballs
Detection of Radio Emission from FireballsCarlos Bella
 
Skeptic encyclopedia of pseudoscience
Skeptic encyclopedia of pseudoscienceSkeptic encyclopedia of pseudoscience
Skeptic encyclopedia of pseudoscienceCarlos Bella
 
Preserved flora and organics in impact melt breccias
Preserved flora and organics in impact melt brecciasPreserved flora and organics in impact melt breccias
Preserved flora and organics in impact melt brecciasCarlos Bella
 
An assessment of the temporal bone lesions of the Broken Hill cranium
An assessment of the temporal bone lesions of the Broken Hill craniumAn assessment of the temporal bone lesions of the Broken Hill cranium
An assessment of the temporal bone lesions of the Broken Hill craniumCarlos Bella
 
A Sedna-like body with a perihelion of 80 astronomical units
A Sedna-like body with a perihelion of 80 astronomical unitsA Sedna-like body with a perihelion of 80 astronomical units
A Sedna-like body with a perihelion of 80 astronomical unitsCarlos Bella
 
Fuel gain exceeding unity in an inertially confined fusion implosion
Fuel gain exceeding unity in an inertially confined fusion implosionFuel gain exceeding unity in an inertially confined fusion implosion
Fuel gain exceeding unity in an inertially confined fusion implosionCarlos Bella
 
Meteor Phenomena and Bodies
Meteor Phenomena and BodiesMeteor Phenomena and Bodies
Meteor Phenomena and BodiesCarlos Bella
 
The Origin Of The 1998 June BoöTid Meteor Shower
The Origin Of The 1998 June BoöTid Meteor ShowerThe Origin Of The 1998 June BoöTid Meteor Shower
The Origin Of The 1998 June BoöTid Meteor ShowerCarlos Bella
 
Physics first spectrum of ball lightning
Physics   first spectrum of ball lightningPhysics   first spectrum of ball lightning
Physics first spectrum of ball lightningCarlos Bella
 
Transient Water Vapor at Europa’s South Pole
Transient Water Vapor at Europa’s South PoleTransient Water Vapor at Europa’s South Pole
Transient Water Vapor at Europa’s South PoleCarlos Bella
 
Solid-state plastic deformation in the dynamic interior of a differentiated a...
Solid-state plastic deformation in the dynamic interior of a differentiated a...Solid-state plastic deformation in the dynamic interior of a differentiated a...
Solid-state plastic deformation in the dynamic interior of a differentiated a...Carlos Bella
 
Broadband high photoresponse from pure monolayer graphene photodetector
Broadband high photoresponse from pure monolayer graphene photodetectorBroadband high photoresponse from pure monolayer graphene photodetector
Broadband high photoresponse from pure monolayer graphene photodetectorCarlos Bella
 
Formation SiO2 Mass-Independent Oxygen Isotopic Partitioning During Gas-Phase
 Formation SiO2 Mass-Independent Oxygen Isotopic Partitioning During Gas-Phase Formation SiO2 Mass-Independent Oxygen Isotopic Partitioning During Gas-Phase
Formation SiO2 Mass-Independent Oxygen Isotopic Partitioning During Gas-PhaseCarlos Bella
 
A Complete Skull from Dmanisi, Georgia, and the Evolutionary Biology of Early...
A Complete Skull from Dmanisi, Georgia, and the Evolutionary Biology of Early...A Complete Skull from Dmanisi, Georgia, and the Evolutionary Biology of Early...
A Complete Skull from Dmanisi, Georgia, and the Evolutionary Biology of Early...Carlos Bella
 
Minor Planet Evidence for Water in the Rocky Debris of a Disrupted Extrasolar...
Minor Planet Evidence for Water in the Rocky Debris of a Disrupted Extrasolar...Minor Planet Evidence for Water in the Rocky Debris of a Disrupted Extrasolar...
Minor Planet Evidence for Water in the Rocky Debris of a Disrupted Extrasolar...Carlos Bella
 

Plus de Carlos Bella (20)

Offshore fresh groundwater reserves as a global phenomenon
Offshore fresh groundwater reserves as a global phenomenonOffshore fresh groundwater reserves as a global phenomenon
Offshore fresh groundwater reserves as a global phenomenon
 
Revealing letters in rolled Herculaneum papyri by X-ray phase-contrast imaging
Revealing letters in rolled Herculaneum papyri by X-ray phase-contrast imagingRevealing letters in rolled Herculaneum papyri by X-ray phase-contrast imaging
Revealing letters in rolled Herculaneum papyri by X-ray phase-contrast imaging
 
Animal behaviour: Incipient tradition in wild chimpanzees
Animal behaviour: Incipient tradition in wild chimpanzeesAnimal behaviour: Incipient tradition in wild chimpanzees
Animal behaviour: Incipient tradition in wild chimpanzees
 
Cohesive forces prevent the rotational breakup of rubble-pile asteroid (29075...
Cohesive forces prevent the rotational breakup of rubble-pile asteroid (29075...Cohesive forces prevent the rotational breakup of rubble-pile asteroid (29075...
Cohesive forces prevent the rotational breakup of rubble-pile asteroid (29075...
 
Detection of Radio Emission from Fireballs
Detection of Radio Emission from FireballsDetection of Radio Emission from Fireballs
Detection of Radio Emission from Fireballs
 
Skeptic encyclopedia of pseudoscience
Skeptic encyclopedia of pseudoscienceSkeptic encyclopedia of pseudoscience
Skeptic encyclopedia of pseudoscience
 
Preserved flora and organics in impact melt breccias
Preserved flora and organics in impact melt brecciasPreserved flora and organics in impact melt breccias
Preserved flora and organics in impact melt breccias
 
An assessment of the temporal bone lesions of the Broken Hill cranium
An assessment of the temporal bone lesions of the Broken Hill craniumAn assessment of the temporal bone lesions of the Broken Hill cranium
An assessment of the temporal bone lesions of the Broken Hill cranium
 
A Sedna-like body with a perihelion of 80 astronomical units
A Sedna-like body with a perihelion of 80 astronomical unitsA Sedna-like body with a perihelion of 80 astronomical units
A Sedna-like body with a perihelion of 80 astronomical units
 
Fuel gain exceeding unity in an inertially confined fusion implosion
Fuel gain exceeding unity in an inertially confined fusion implosionFuel gain exceeding unity in an inertially confined fusion implosion
Fuel gain exceeding unity in an inertially confined fusion implosion
 
Meteor Phenomena and Bodies
Meteor Phenomena and BodiesMeteor Phenomena and Bodies
Meteor Phenomena and Bodies
 
The Origin Of The 1998 June BoöTid Meteor Shower
The Origin Of The 1998 June BoöTid Meteor ShowerThe Origin Of The 1998 June BoöTid Meteor Shower
The Origin Of The 1998 June BoöTid Meteor Shower
 
Physics first spectrum of ball lightning
Physics   first spectrum of ball lightningPhysics   first spectrum of ball lightning
Physics first spectrum of ball lightning
 
Nature12917
Nature12917Nature12917
Nature12917
 
Transient Water Vapor at Europa’s South Pole
Transient Water Vapor at Europa’s South PoleTransient Water Vapor at Europa’s South Pole
Transient Water Vapor at Europa’s South Pole
 
Solid-state plastic deformation in the dynamic interior of a differentiated a...
Solid-state plastic deformation in the dynamic interior of a differentiated a...Solid-state plastic deformation in the dynamic interior of a differentiated a...
Solid-state plastic deformation in the dynamic interior of a differentiated a...
 
Broadband high photoresponse from pure monolayer graphene photodetector
Broadband high photoresponse from pure monolayer graphene photodetectorBroadband high photoresponse from pure monolayer graphene photodetector
Broadband high photoresponse from pure monolayer graphene photodetector
 
Formation SiO2 Mass-Independent Oxygen Isotopic Partitioning During Gas-Phase
 Formation SiO2 Mass-Independent Oxygen Isotopic Partitioning During Gas-Phase Formation SiO2 Mass-Independent Oxygen Isotopic Partitioning During Gas-Phase
Formation SiO2 Mass-Independent Oxygen Isotopic Partitioning During Gas-Phase
 
A Complete Skull from Dmanisi, Georgia, and the Evolutionary Biology of Early...
A Complete Skull from Dmanisi, Georgia, and the Evolutionary Biology of Early...A Complete Skull from Dmanisi, Georgia, and the Evolutionary Biology of Early...
A Complete Skull from Dmanisi, Georgia, and the Evolutionary Biology of Early...
 
Minor Planet Evidence for Water in the Rocky Debris of a Disrupted Extrasolar...
Minor Planet Evidence for Water in the Rocky Debris of a Disrupted Extrasolar...Minor Planet Evidence for Water in the Rocky Debris of a Disrupted Extrasolar...
Minor Planet Evidence for Water in the Rocky Debris of a Disrupted Extrasolar...
 

Dernier

4.16.24 21st Century Movements for Black Lives.pptx
4.16.24 21st Century Movements for Black Lives.pptx4.16.24 21st Century Movements for Black Lives.pptx
4.16.24 21st Century Movements for Black Lives.pptxmary850239
 
Choosing the Right CBSE School A Comprehensive Guide for Parents
Choosing the Right CBSE School A Comprehensive Guide for ParentsChoosing the Right CBSE School A Comprehensive Guide for Parents
Choosing the Right CBSE School A Comprehensive Guide for Parentsnavabharathschool99
 
MULTIDISCIPLINRY NATURE OF THE ENVIRONMENTAL STUDIES.pptx
MULTIDISCIPLINRY NATURE OF THE ENVIRONMENTAL STUDIES.pptxMULTIDISCIPLINRY NATURE OF THE ENVIRONMENTAL STUDIES.pptx
MULTIDISCIPLINRY NATURE OF THE ENVIRONMENTAL STUDIES.pptxAnupkumar Sharma
 
Science 7 Quarter 4 Module 2: Natural Resources.pptx
Science 7 Quarter 4 Module 2: Natural Resources.pptxScience 7 Quarter 4 Module 2: Natural Resources.pptx
Science 7 Quarter 4 Module 2: Natural Resources.pptxMaryGraceBautista27
 
Inclusivity Essentials_ Creating Accessible Websites for Nonprofits .pdf
Inclusivity Essentials_ Creating Accessible Websites for Nonprofits .pdfInclusivity Essentials_ Creating Accessible Websites for Nonprofits .pdf
Inclusivity Essentials_ Creating Accessible Websites for Nonprofits .pdfTechSoup
 
Virtual-Orientation-on-the-Administration-of-NATG12-NATG6-and-ELLNA.pdf
Virtual-Orientation-on-the-Administration-of-NATG12-NATG6-and-ELLNA.pdfVirtual-Orientation-on-the-Administration-of-NATG12-NATG6-and-ELLNA.pdf
Virtual-Orientation-on-the-Administration-of-NATG12-NATG6-and-ELLNA.pdfErwinPantujan2
 
Proudly South Africa powerpoint Thorisha.pptx
Proudly South Africa powerpoint Thorisha.pptxProudly South Africa powerpoint Thorisha.pptx
Proudly South Africa powerpoint Thorisha.pptxthorishapillay1
 
ACC 2024 Chronicles. Cardiology. Exam.pdf
ACC 2024 Chronicles. Cardiology. Exam.pdfACC 2024 Chronicles. Cardiology. Exam.pdf
ACC 2024 Chronicles. Cardiology. Exam.pdfSpandanaRallapalli
 
Culture Uniformity or Diversity IN SOCIOLOGY.pptx
Culture Uniformity or Diversity IN SOCIOLOGY.pptxCulture Uniformity or Diversity IN SOCIOLOGY.pptx
Culture Uniformity or Diversity IN SOCIOLOGY.pptxPoojaSen20
 
Barangay Council for the Protection of Children (BCPC) Orientation.pptx
Barangay Council for the Protection of Children (BCPC) Orientation.pptxBarangay Council for the Protection of Children (BCPC) Orientation.pptx
Barangay Council for the Protection of Children (BCPC) Orientation.pptxCarlos105
 
Procuring digital preservation CAN be quick and painless with our new dynamic...
Procuring digital preservation CAN be quick and painless with our new dynamic...Procuring digital preservation CAN be quick and painless with our new dynamic...
Procuring digital preservation CAN be quick and painless with our new dynamic...Jisc
 
Influencing policy (training slides from Fast Track Impact)
Influencing policy (training slides from Fast Track Impact)Influencing policy (training slides from Fast Track Impact)
Influencing policy (training slides from Fast Track Impact)Mark Reed
 
GRADE 4 - SUMMATIVE TEST QUARTER 4 ALL SUBJECTS
GRADE 4 - SUMMATIVE TEST QUARTER 4 ALL SUBJECTSGRADE 4 - SUMMATIVE TEST QUARTER 4 ALL SUBJECTS
GRADE 4 - SUMMATIVE TEST QUARTER 4 ALL SUBJECTSJoshuaGantuangco2
 
How to Add Barcode on PDF Report in Odoo 17
How to Add Barcode on PDF Report in Odoo 17How to Add Barcode on PDF Report in Odoo 17
How to Add Barcode on PDF Report in Odoo 17Celine George
 
call girls in Kamla Market (DELHI) 🔝 >༒9953330565🔝 genuine Escort Service 🔝✔️✔️
call girls in Kamla Market (DELHI) 🔝 >༒9953330565🔝 genuine Escort Service 🔝✔️✔️call girls in Kamla Market (DELHI) 🔝 >༒9953330565🔝 genuine Escort Service 🔝✔️✔️
call girls in Kamla Market (DELHI) 🔝 >༒9953330565🔝 genuine Escort Service 🔝✔️✔️9953056974 Low Rate Call Girls In Saket, Delhi NCR
 
How to do quick user assign in kanban in Odoo 17 ERP
How to do quick user assign in kanban in Odoo 17 ERPHow to do quick user assign in kanban in Odoo 17 ERP
How to do quick user assign in kanban in Odoo 17 ERPCeline George
 
THEORIES OF ORGANIZATION-PUBLIC ADMINISTRATION
THEORIES OF ORGANIZATION-PUBLIC ADMINISTRATIONTHEORIES OF ORGANIZATION-PUBLIC ADMINISTRATION
THEORIES OF ORGANIZATION-PUBLIC ADMINISTRATIONHumphrey A Beña
 
ANG SEKTOR NG agrikultura.pptx QUARTER 4
ANG SEKTOR NG agrikultura.pptx QUARTER 4ANG SEKTOR NG agrikultura.pptx QUARTER 4
ANG SEKTOR NG agrikultura.pptx QUARTER 4MiaBumagat1
 
HỌC TỐT TIẾNG ANH 11 THEO CHƯƠNG TRÌNH GLOBAL SUCCESS ĐÁP ÁN CHI TIẾT - CẢ NĂ...
HỌC TỐT TIẾNG ANH 11 THEO CHƯƠNG TRÌNH GLOBAL SUCCESS ĐÁP ÁN CHI TIẾT - CẢ NĂ...HỌC TỐT TIẾNG ANH 11 THEO CHƯƠNG TRÌNH GLOBAL SUCCESS ĐÁP ÁN CHI TIẾT - CẢ NĂ...
HỌC TỐT TIẾNG ANH 11 THEO CHƯƠNG TRÌNH GLOBAL SUCCESS ĐÁP ÁN CHI TIẾT - CẢ NĂ...Nguyen Thanh Tu Collection
 

Dernier (20)

4.16.24 21st Century Movements for Black Lives.pptx
4.16.24 21st Century Movements for Black Lives.pptx4.16.24 21st Century Movements for Black Lives.pptx
4.16.24 21st Century Movements for Black Lives.pptx
 
Choosing the Right CBSE School A Comprehensive Guide for Parents
Choosing the Right CBSE School A Comprehensive Guide for ParentsChoosing the Right CBSE School A Comprehensive Guide for Parents
Choosing the Right CBSE School A Comprehensive Guide for Parents
 
MULTIDISCIPLINRY NATURE OF THE ENVIRONMENTAL STUDIES.pptx
MULTIDISCIPLINRY NATURE OF THE ENVIRONMENTAL STUDIES.pptxMULTIDISCIPLINRY NATURE OF THE ENVIRONMENTAL STUDIES.pptx
MULTIDISCIPLINRY NATURE OF THE ENVIRONMENTAL STUDIES.pptx
 
Science 7 Quarter 4 Module 2: Natural Resources.pptx
Science 7 Quarter 4 Module 2: Natural Resources.pptxScience 7 Quarter 4 Module 2: Natural Resources.pptx
Science 7 Quarter 4 Module 2: Natural Resources.pptx
 
Inclusivity Essentials_ Creating Accessible Websites for Nonprofits .pdf
Inclusivity Essentials_ Creating Accessible Websites for Nonprofits .pdfInclusivity Essentials_ Creating Accessible Websites for Nonprofits .pdf
Inclusivity Essentials_ Creating Accessible Websites for Nonprofits .pdf
 
Virtual-Orientation-on-the-Administration-of-NATG12-NATG6-and-ELLNA.pdf
Virtual-Orientation-on-the-Administration-of-NATG12-NATG6-and-ELLNA.pdfVirtual-Orientation-on-the-Administration-of-NATG12-NATG6-and-ELLNA.pdf
Virtual-Orientation-on-the-Administration-of-NATG12-NATG6-and-ELLNA.pdf
 
Raw materials used in Herbal Cosmetics.pptx
Raw materials used in Herbal Cosmetics.pptxRaw materials used in Herbal Cosmetics.pptx
Raw materials used in Herbal Cosmetics.pptx
 
Proudly South Africa powerpoint Thorisha.pptx
Proudly South Africa powerpoint Thorisha.pptxProudly South Africa powerpoint Thorisha.pptx
Proudly South Africa powerpoint Thorisha.pptx
 
ACC 2024 Chronicles. Cardiology. Exam.pdf
ACC 2024 Chronicles. Cardiology. Exam.pdfACC 2024 Chronicles. Cardiology. Exam.pdf
ACC 2024 Chronicles. Cardiology. Exam.pdf
 
Culture Uniformity or Diversity IN SOCIOLOGY.pptx
Culture Uniformity or Diversity IN SOCIOLOGY.pptxCulture Uniformity or Diversity IN SOCIOLOGY.pptx
Culture Uniformity or Diversity IN SOCIOLOGY.pptx
 
Barangay Council for the Protection of Children (BCPC) Orientation.pptx
Barangay Council for the Protection of Children (BCPC) Orientation.pptxBarangay Council for the Protection of Children (BCPC) Orientation.pptx
Barangay Council for the Protection of Children (BCPC) Orientation.pptx
 
Procuring digital preservation CAN be quick and painless with our new dynamic...
Procuring digital preservation CAN be quick and painless with our new dynamic...Procuring digital preservation CAN be quick and painless with our new dynamic...
Procuring digital preservation CAN be quick and painless with our new dynamic...
 
Influencing policy (training slides from Fast Track Impact)
Influencing policy (training slides from Fast Track Impact)Influencing policy (training slides from Fast Track Impact)
Influencing policy (training slides from Fast Track Impact)
 
GRADE 4 - SUMMATIVE TEST QUARTER 4 ALL SUBJECTS
GRADE 4 - SUMMATIVE TEST QUARTER 4 ALL SUBJECTSGRADE 4 - SUMMATIVE TEST QUARTER 4 ALL SUBJECTS
GRADE 4 - SUMMATIVE TEST QUARTER 4 ALL SUBJECTS
 
How to Add Barcode on PDF Report in Odoo 17
How to Add Barcode on PDF Report in Odoo 17How to Add Barcode on PDF Report in Odoo 17
How to Add Barcode on PDF Report in Odoo 17
 
call girls in Kamla Market (DELHI) 🔝 >༒9953330565🔝 genuine Escort Service 🔝✔️✔️
call girls in Kamla Market (DELHI) 🔝 >༒9953330565🔝 genuine Escort Service 🔝✔️✔️call girls in Kamla Market (DELHI) 🔝 >༒9953330565🔝 genuine Escort Service 🔝✔️✔️
call girls in Kamla Market (DELHI) 🔝 >༒9953330565🔝 genuine Escort Service 🔝✔️✔️
 
How to do quick user assign in kanban in Odoo 17 ERP
How to do quick user assign in kanban in Odoo 17 ERPHow to do quick user assign in kanban in Odoo 17 ERP
How to do quick user assign in kanban in Odoo 17 ERP
 
THEORIES OF ORGANIZATION-PUBLIC ADMINISTRATION
THEORIES OF ORGANIZATION-PUBLIC ADMINISTRATIONTHEORIES OF ORGANIZATION-PUBLIC ADMINISTRATION
THEORIES OF ORGANIZATION-PUBLIC ADMINISTRATION
 
ANG SEKTOR NG agrikultura.pptx QUARTER 4
ANG SEKTOR NG agrikultura.pptx QUARTER 4ANG SEKTOR NG agrikultura.pptx QUARTER 4
ANG SEKTOR NG agrikultura.pptx QUARTER 4
 
HỌC TỐT TIẾNG ANH 11 THEO CHƯƠNG TRÌNH GLOBAL SUCCESS ĐÁP ÁN CHI TIẾT - CẢ NĂ...
HỌC TỐT TIẾNG ANH 11 THEO CHƯƠNG TRÌNH GLOBAL SUCCESS ĐÁP ÁN CHI TIẾT - CẢ NĂ...HỌC TỐT TIẾNG ANH 11 THEO CHƯƠNG TRÌNH GLOBAL SUCCESS ĐÁP ÁN CHI TIẾT - CẢ NĂ...
HỌC TỐT TIẾNG ANH 11 THEO CHƯƠNG TRÌNH GLOBAL SUCCESS ĐÁP ÁN CHI TIẾT - CẢ NĂ...
 

Investigation of the Piezoelectric Effect as a Means to Generate X-Rays

  • 1. 106 IEEE TRANSACTIONS ON PLASMA SCIENCE, VOL. 41, NO. 1, JANUARY 2013 Investigation of the Piezoelectric Effect as a Means to Generate X-Rays Brady Gall, Student Member, IEEE, Scott D. Kovaleski, Senior Member, IEEE, James A. VanGordon, Student Member, IEEE, Peter Norgard, Member, IEEE, Andrew Benwell, Member, IEEE, Baek Hyun Kim, Member, IEEE, Jae Wan Kwon, Member, IEEE, and Gregory E. Dale, Member, IEEE Abstract—The piezoelectric effect is analyzed as a means to 5 kV, taking advantage of the high-voltage capabilities of the produce X-rays. A mass of crystalline piezoelectric material is piezoelectric effect [12]. Piezoelectric materials when used as used to convert a low-voltage input electrical signal into a high- high-voltage sources have specific advantages, including low voltage output signal by storing energy in a longitudinally vibrat- ing mechanical wave. Output energy is extracted in the form of a weight, low power, high efficiency, and high gain [8]. These ad- high-voltage electron beam using a field-emission diode mounted vantages have motivated investigation of the piezoelectric effect on the surface of the crystal. The electron beam produces X-rays for use in compact high-voltage sources capable of generating via bremsstrahlung interactions with a metallic surface. X-ray energies of up to 25 keV [13], [14]. Index Terms—Electron emission, piezoelectric effect, X-ray This paper discusses a method which has led to a substan- production. tial increase in maximum X-ray energy, from the previously measured 25 keV reported in [13] and [14] to up to 130 keV. I. I NTRODUCTION A crystalline slab of lithium niobate was designed to reach high voltage, and field electron emission was used to extract L ARGE HIGH-POWER technologies such as linear accel- erators, synchrotrons, and free-electron lasers are just a few examples of X-ray sources typically used in high-energy charge from the material. The charge was accelerated by the piezoelectric crystal’s electric fields into a grounded metallic target. Bremsstrahlung radiation was then produced by the physics and particle research [1]. These applications can require interaction between the high-energy charged particles and the up to 550 kW; however, some applications, such as micro- target. scopic X-ray tomography, only require a few watts of X-ray power [2], [3]. In these cases, low-power micro/nano X-ray sources could be sufficient to replace the traditional high-power II. BACKGROUND sources. Certain physical phenomena such as the pyroelectric The piezoelectric effect is governed by two coupled equa- and triboelectric effects have been demonstrated as methods tions that combine the Hooke law relationship between stress for producing X-rays in compact form factors [4]–[6]. The and strain and the constitutive relationship between electric piezoelectric effect is another such phenomenon which could be field and electric displacement. These equations are referred to used as a method for compact high-voltage beam acceleration as the direct and indirect piezoelectric effects and are respec- and X-ray generation [7]. tively shown in the following [15]: Many commercially available products, including LCD backlights, gas-discharge lamp igniters, and compact ac/dc {D} = [d]{T } + [εT ]{E} (1) converters, employ the piezoelectric effect to produce between {S} = [s ]{T } + [d ]{E}. E t (2) 30 and 300 V [8]–[11]. Alternatively, custom devices such as dielectric barrier discharge plasma reactors have reached up to The variables S, T , E, and D are the strain, stress, electric field, and electric displacement. The constants sE , dt , d, and εT are tensors representing the elasticity, indirect piezoelectric Manuscript received April 30, 2012; revised July 27, 2012, September 5, 2012, and October 10, 2012; accepted October 25, 2012. Date of publication strain constant, direct piezoelectric strain constant, and permit- November 15, 2012; date of current version January 4, 2013. This work was tivity. The material property tensors of piezoelectric materials supported in part by Los Alamos National Laboratory, by Qynergy Corporation, can be simplified with the piezoelectric coupling coefficient k and by the Office of Naval Research. B. Gall, S. D. Kovaleski, J. A. VanGordon, P. Norgard, B. H. Kim, and which is defined as the square root of the ratio of available J. W. Kwon are with the Department of Electrical and Computer Engineering, energy in electrical form to the total input mechanical energy University of Missouri, Columbia, MO 65211 USA (e-mail: kovaleskis@ (direct) or the square root of the ratio of available energy in missouri.edu). A. Benwell is with the Electrodynamics Department, RFARED, SLAC mechanical form to the total input electrical energy (indirect) National Accelerator Laboratory, Menlo Park, CA 94025 USA (e-mail: [16]. The following shows examples of expressions for k: abenwell@slac.stanford.edu). G. E. Dale is with the High Power Electrodynamics Group, Accelera- d23 tor and Operations Technology Division, Los Alamos National Laboratory, k23 = Los Alamos, NM 87541, USA (e-mail: gedale@lanl.gov). s E εT 22 33 Color versions of one or more of the figures in this paper are available online d33 at http://ieeexplore.ieee.org. k33 = . (3) Digital Object Identifier 10.1109/TPS.2012.2227250 s E εT 33 33 0093-3813/$31.00 © 2012 IEEE
  • 2. GALL et al.: INVESTIGATION OF PIEZOELECTRIC EFFECT AS MEANS TO GENERATE X-RAYS 107 Fig. 1. Bar-shaped piezoelectric material for increasing an applied voltage. Fig. 2. Simulated voltage gain versus frequency of a lithium niobate bar. Gain A mass of lithium niobate in the shape of a flat bar is shown is normalized to maximum gain value. in Fig. 1. A detailed description of the material properties of lithium niobate can be found in a number of sources [16]–[19]. The primary geometric axes of the bar in Fig. 1 are x1 , x2 , and x3 , and the secondary axes x2 and x3 are rotated by an angle θ about the primary axis x1 [20]. This rotation indicates the crystallographic polarization direction of the lithium niobate. Input electrodes, shown as gray regions on the top and bottom (not visible) surfaces of the bar in Fig. 1, are used to deliver electrical power to the crystal. Electric fields in the x3 -direction couple into mechanical displacements in the x2 -direction as Fig. 3. Piezoelectric transformer equivalent circuit model. a result of the rotated polarization, and an output voltage is produced at the extremity of the bar. This is known as the length extensional mode [21]. The voltage gain can be maximized by satisfying two criteria. First, the product of the piezoelectric coupling coefficients k23 and k33 should be maximized. The value of the product k22 k32 has been found to be a maximum of approximately 0.3 when the polarization of lithium niobate is rotated by 45◦ [20]. Second, the piezoelectric bar should be driven at or near its natural mechanical resonance. The resonant frequency ωn is Fig. 4. Experimental setup to generate X-rays using a piezoelectric crystal. determined by material properties and the dimensions of the bar, shown in the following [13]: III. E XPERIMENTAL S ETUP The piezoelectric crystals used in this experiment were nπ sE ωn = . (4) 100 mm × 10 mm × 1.5 mm slabs of lithium niobate rotated l ρ 45◦ about the x1 -axis, as shown in Fig. 1. Electrodes were applied using silver paint with a measured layer thickness The variables l, sE , and ρ are the length of the bar in the of approximately 50 μm. High field electron emitters were x2 -direction, the elasticity tensor, and the density of the ma- fabricated from 0.1-mm-diameter platinum–iridium wire [23], terial. The integer value n indicates the harmonic mode of cut to approximately 1 mm in length, and adhered to the high- resonance. The plot in Fig. 2 was generated from solutions of voltage output of the crystal with silver paint. Fig. 4 shows the a 1-D piezoelectric model based on the material constants for experimental setup for the piezoelectric X-ray source. All ex- lithium niobate to demonstrate the voltage gain dependence on periments were conducted at pressures below 10−3 torr because operating frequency [22]. this was the threshold pressure for X-ray production. Finite- An equivalent circuit model for the piezoelectric transformer element simulations indicated that a maximum mechanical dis- is shown in Fig. 3. A sinusoidal voltage source Vin drives placement of approximately 10 μm occurred at each extremity the transformer input, which is modeled as a capacitor Cin of the bar with a displacement null located near its center [24]. representing the capacitance between the two input electrodes. For this reason, the crystal was clamped with an expanded A step-up transformer models the voltage gain and the isolation polymer sponge at its center to reduce mechanical damping. between the input and output terminals of the piezoelectric The high voltage at the crystal output was indirectly mea- transformer. The output of the transformer is modeled as a sured using the bremsstrahlung spectra produced when the capacitor Cout . The electron beam is modeled as a series of accelerated electron beam struck the stainless steel vacuum diode and resistor with a parallel capacitor. The output and chamber walls. Electron trajectories were determined using input of the transformer share a mutual ground. finite-element ray tracing software [24], shown in Fig. 4 as
  • 3. 108 IEEE TRANSACTIONS ON PLASMA SCIENCE, VOL. 41, NO. 1, JANUARY 2013 TABLE I P ERTINENT D ECAY P ROPERTIES OF C D -109 AS AN X-R AY D ETECTOR C ALIBRATION S OURCE Fig. 6. System diagram for the basic experimental configuration for piezo- electric crystal operation. (A) Low-voltage ac drive signal at 25–50 mVmax and 30.7 kHz. (T1 and T2) Falling edge trigger and gate signal for PX4. (B1, B2, and B3) High-voltage ac drive signal at 10–20 Vmax to Pearson coil, oscilloscope, and crystal. (D) Crystal-generated X-ray flux. (E) Raw analog X-ray detector signal. (F) Digital spectrum data. Fig. 5. Sample calibration spectrum using the CdTe X-ray detector for a Cd-109 radioisotope calibration source. dotted lines. Bremsstrahlung interactions occurred at the walls of the port, and an Amptek XR-100T CdTe γ/X-ray detector with 1.5-keV FWHM energy resolution and 4.0-μs resolving time was used to record the X-ray spectra through a 50-μm- thick aluminum window. A PX4 pulse processor was used to digitize the spectrum for viewing on a PC. In this configuration, the noise introduced by the PX4 signal gain was negligible Fig. 7. Input voltage and current traces for a resonating piezoelectric crystal. because it was several orders of magnitude less than the noise produced by the CdTe detector itself [25]. The detector was in Fig. 6 shows this setup. An example of a typical resonant placed very near to this window to maximize the geometric burst pulse used to drive the crystal is shown in Fig. 7. The efficiency of the detector and increase the signal–noise ratio. input voltage amplitude diminished throughout the pulse, while The MCA was calibrated using a Spectrum Techniques the input current amplitude increased, an indication that the 1-μCi Cd-109 calibration source for the CdTe X-ray detector. resonant frequency had been reached [13]. The drive frequency Cd-109 is a convenient choice because it has prominent peaks was in agreement with the modeled resonant frequency in at 22 and 88 keV, providing an accurate calibration throughout Fig. 2, ranging between 30.6 and 30.9 kHz. the range of the spectrum [26]. A peak at 24.9 keV was used as a A gate signal was applied to an Amptek PX4 digital pulse third point to verify the calibration. A lower level discriminator processor in order to decrease the effect of background radi- was fixed, and the MCA gain was set to 9.1 throughout the ation during sampling intervals. This was done because the experiment, producing a range of detectable X-ray energy crystal is operated in a pulsed mode with a duty cycle of ap- from 8 to 140 keV. Table I shows select decay properties of proximately 9% to limit mechanical failure of the crystal [13]. Cd-109. Fig. 5 shows a sample calibration spectrum of the The gate signal pulse is shown in Fig. 7 as an encapsulation of Cd-109 source. the applied burst pulse and the immediately subsequent ring- An Agilent 33210A function generator was used to produce down. This portion of the ring-down was arbitrarily defined the ac voltage to drive the piezoelectric crystal. An Amplifier as the 5 ms after the pulse and was included to count X-rays Research KAA1020 25-W 43-dB RF power amplifier was used measured during this time. A 90-μs zoomed view shows that the to amplify the drive voltage to 11–16 Vmax . At drive voltages current and voltage waveforms are in phase with one another at lower than this range, X-ray production was not observed, and resonance. at higher voltages, the piezoelectric crystal tended to fracture due to exceeding the yield strength of lithium niobate (between IV. R ESULTS 30 and 120 MPa) [19]. A Pearson 2877 current monitor with 1-V/A output sensitivity measured the input current to the X-ray spectra were recorded which demonstrate that a piezo- crystal. A Tektronix TDS 2024B oscilloscope was used to electric crystal designed to operate in the length extensional measure crystal input voltage and current. The system diagram mode was capable of producing X-rays with energies up to
  • 4. GALL et al.: INVESTIGATION OF PIEZOELECTRIC EFFECT AS MEANS TO GENERATE X-RAYS 109 Fig. 9. Same spectrum from Test 1 presented in total counts to demonstrate time-dependent count rate reduction. Fig. 8. Collection of nine high-energy X-ray tests under a variety of operating conditions using a piezoelectric crystal. Spectra are presented in counts per output of the piezoelectric crystal and the effective resistance second, and background was normalized and subtracted from each spectrum. Duration for each test was between 30 and 60 s. of the electron beam due to field emitter quality. Models have shown that this 50-Ω variability in input impedance changes the TABLE II input power by ±100 mW, in agreement with the experimen- X-R AY S PECTRUM I NFORMATION FOR F IG .8. D URATION FOR A LL T ESTS tally observed range of input powers. The input voltage varied I S B ETWEEN 30 AND 60 s. (∗ I NDICATES T EST W ITH D EUTERIUM BACKGROUND G AS ) between 11 and 16 V in amplitude. Comparing this value with the X-ray spectrum data in Fig. 8, the maximum measured gain of the piezoelectric transformer source was between 7.9 and 11.5 kV/V. An expression for the maximum electron beam current was computed by applying energy conservation laws to the piezo- electric transformer. The piezoelectric transformer model is analogous to that of the conventional magnetic core transformer such that the output current can be determined if the output voltage and input power are known, as shown in Pin = Vout × Iout . (5) 127 keV under several different conditions. A collection of nine different X-ray spectra are shown in Fig. 8. Table II Using the data from Test 1, the input voltage and current gives pertinent data for the spectra in Fig. 8 and shows that amplitudes were 16 V and 79 mA, respectively. Converting high voltage was achieved with various pressures and crystal these values to rms and multiplying yield an input power of samples. Test 9 shows that the piezoelectric crystal reached 632 mW. The peak output voltage was recorded to be 127 kV 127 keV in a deuterium environment at 770 μtorr, demonstrat- or 89.8 kV rms, and solving for Iout in (5) yields an rms current ing that the method is viable in low-pressure gas applications. of 7 μA or a peak current of approximately 10 μA. The spectra were binned to decrease counting error and improve An unexpected observation was made during this experiment endpoint determination. Some energy resolution is sacrificed regarding the time-dependent X-ray output of the piezoelectric due to the binning process. As a result, each energy level crystal. It was found that X-ray count rate and maximum corresponds approximately to a ±7-keV range, and a precise X-ray energy both decreased as testing runtime progressed. endpoint energy cannot be obtained. However, as the primary This limited data collection to approximately 1 min of active goal of this work is to verify high-energy X-ray production, this collection time. The spectrum in Fig. 9 was generated from the reduction of energy resolution is acceptable. spectral data from Test 1, showing the total counts collected Of the nine spectra shown, five produced X-rays with an within two successive time periods, each lasting 60 s. The iron endpoint energy of at least 127 keV. The variation in count kα peak of 6.4 keV was visible at both times, but there were two rate among observations was due to uncontrolled factors such orders of magnitude of separation between the total counts in as field emitter quality and variability in stray capacitances each of the time periods. The maximum X-ray energy recorded at the output. Background counts were subtracted from each in the first 60 s reached the 127-keV bin according to Fig. 8, recorded spectrum, and only statistically significant count rates but Fig. 9 shows that this decreased to about 15 keV in the are shown. Error bars correspond to one standard deviation of next 60 s. error and include the propagation of background counting error. One explanation for the decrease in X-ray count rate is The function generator was fixed at a constant voltage; that electron beam transport discharged the output capacitance however, input power varied between 312 and 720 mW among of the transformer. The circuit model in Fig. 3 shows that observations. Modeling has indicated that variations in output a current return path was not available to the output of the impedance can change the input impedance of the piezoelectric transformer, which prevented charge neutralization at the output crystal by as much as 50 Ω. This variation in impedance is while the beam was off. Due to the low output capacitance due to uncontrolled parameters such as stray capacitance at the of the transformer (calculated to be between 0.1 and 1 pF),
  • 5. 110 IEEE TRANSACTIONS ON PLASMA SCIENCE, VOL. 41, NO. 1, JANUARY 2013 positive charge that accumulated at the output reduced the [8] J. Yang, “Piezoelectric transformer structural modeling—A review,” IEEE output voltage magnitude [27]. This drop in voltage reduced the Trans. Ultrason., Ferroelect., Freq. Control, vol. 54, no. 6, pp. 1154–1170, Jun. 2007. electric field necessary for electron field emission, resulting in a [9] L. Hwang, J. Yoo, E. Jang, D. Oh, Y. Jeong, I. Ahn, and M. Cho, “Fab- drop in current as described by the Fowler–Nordheim equation. rication and characteristics of PDA LCD backlight driving circuits using The following shows the Fowler–Nordheim equation showing piezoelectric transformer,” Sens. Actuators A, Phys., vol. 15, no. 1, pp. 73– 78, Sep. 2004. that the electron beam current density J is dependent on electric [10] P. Bolhuis, “Gas discharge flash lamp with piezoelectric trigger genera- field E among other factors such as surface work function tor,” U.S. Patent 4 082 985, Apr. 4, 1978. φ, permittivity , and a dimensionless image force function [11] Y. Park, “Electrical properties of a piezoelectric transformer for an AC–DC converter,” J. Korean Phys. Soc., vol. 57, no. 4, pp. 1131–1133, f (y) [28]: Oct. 2010. [12] H. Itoh, K. Teranishi, and S. Suzuki, “Discharge plasmas generated by E2 3 piezoelectric transformers and their applications,” Plasma Sources Sci. J = 1.54 × 10−6 −6.83×109 φ 2 f (y)/E . (6) Technol., vol. 15, no. 2, pp. S51–S61, May 2006. φ [13] A. L. Benwell, “A high voltage piezoelectric transformer for active inter- rogation,” Ph.D. dissertation, Univ. Missouri-Columbia, Columbia, MO, Assuming that all other variables are fixed, a drop in voltage 2009. [14] S. D. Kovaleski, A. Benwell, E. Baxter, B. T. Hutsel, T. Wacharasindhu, at the transformer output due to discharging by the beam and J. W. Kwon, “Ultra-compact piezoelectric transformer charged par- leads to a decrease in beam current, thus reducing the X-ray ticle acceleration,” in Proc. Int. Workshop Micro Nanotechnol. Power production rate of the system. The time-dependent decrease in Gener. Energy Convers. Appl., Washington, DC, Dec. 2009, pp. 399–402. [15] IEEE Standard on Piezoelectricity, ANSI/IEEE Std. 176-1987, 1988. counts could be mitigated by either increasing the capacitance [16] H. Jaffe and D. Berlincourt, “Piezoelectric transducer materials,” Proc. or incorporating a current return path at the transformer output. IEEE, vol. 53, no. 10, pp. 1372–1386, Oct. 1965. [17] R. S. Weis and T. K. Gaylord, “Lithium niobate: Summary of physical properties and crystal structure,” Appl. Phys. A, vol. 37, no. 4, pp. 191– 203, Aug. 1985. V. C ONCLUSION [18] Lithium Niobate/Lithium Tantalate, I. Crystal Technology. [19] K. K. Wong, Properties of Lithium Niobate. Maple Grove, MN: The data presented in this paper demonstrate how the piezo- Northstar Photonics, Inc, 2002. electric effect can be used to generate X-rays with energies [20] K. Nakamura and Y. Adachi, “Piezoelectric transformers using LiNbO3 single crystals,” Electron. Commun. Jpn. (Part III: Fundam. Electron. up to 127±7 keV. A lithium niobate piezoelectric crystal was Sci.), vol. 81, no. 7, pp. 1–6, Jul. 1998. designed to reach high voltages by electromechanically cou- [21] J. Yang and X. Zhang, “Extensional vibration of a nonuniform piezoce- pling a low-amplitude ac voltage to a high-amplitude output ramic rod and high voltage generation,” Int. J. Appl. Electromagn. Mech., vol. 16, no. 1, pp. 29–42, Jan. 2002. voltage. Electron field emitters that were adhered to the surface [22] J. Yang, An Introduction to the Theory of Piezoelectricity, vol. 9, Advances of the crystal directly extracted charge from the material. This in Mechanics and Mathematics. New York: Springer-Verlag, 2005. charge was then accelerated by the electric fields generated by [23] C. Bai, Scanning Tunneling Microscopy and Its Applications, 2nd ed. Shanghai, China: Scientific & Technical Publ., 1995. the crystal into a grounded metallic target. Interactions between [24] Comsol Multiphysics. the high-voltage electron beam and the metallic target produced [25] Personal Communication With Amptek Technical Staff, Aug. 2012. bremsstrahlung X-ray radiation. Discharging of the output ca- [26] Amptek, Inc, 14 Deangelo Drive Bedford, MA 01730 USA, How to Change the Full Scale Energy Range and Calibrate the Software. pacitance due to electron beam transport may have hindered [27] J. A. VanGordon, B. Gall, P. Norgard, S. Kovaleski, E. Baxter, B. Kim, X-ray production rates and maximum energy as runtime in- J. Kwon, and G. Dale, “Effects of capacitive versus resistive loading on creased. As a result, X-ray production was limited to intervals high transformation ratio piezoelectric transformers for modular design considerations,” in Proc. IEEE Int. High Voltage Power Modul. Conf., lasting approximately 60 s at a time. A complete characteri- Jun. 2012. zation of the piezoelectric X-ray source will be possible once [28] R. L. Ramey, Physical Electronics. Belmont, CA: Wadsworth Publ. the limitation to device runtime is resolved. To increase the Comp., 1961. duration of X-ray production, a current return path may need to be implemented which would prevent discharging at the transformer output. R EFERENCES [1] R. Talman, Accelerator X-Ray Sources. Hoboken, NJ: Wiley-VCH, 2006. [2] H. Bizek, “The advanced photon source list of parameters,” Argonne Nat. Lab., Lemont, IL, Tech. Rep., Jul. 1996. [3] F. Pfeiffer, “Hard x-ray phase tomography with low-brilliance sources,” Phys. Rev. Let., vol. 98, no. 10, pp. 108 105-1–108 105-4, Mar. 2007. [4] J. A. Geuther and Y. Danon, “High-energy x-ray production with pyro- electric crystals,” J. Appl. Phys., vol. 97, no. 10, pp. 104 916-1–104 916-5, Brady Gall (S’09) received the B.S. and M.S. de- May 2005. grees in electrical engineering from the University of [5] W. Tornow, S. Lynam, and S. Shafroth, “Substantial increase in acceler- Missouri, Columbia, in 2009 and 2012, respectively. ation potential of pyroelectric crystals,” J. Appl. Phys., vol. 107, no. 6, He is currently a Graduate Research Assistant with pp. 063302-1–063302-4, Mar. 2010. the Department of Electrical and Computer Engi- [6] J. Hird, “A triboelectric x-ray source,” Appl. Phys. Lett., vol. 98, no. 13, neering, University of Missouri, under the advise- pp. 133 501-1–133 501-3, Mar. 2011. ment of Scott D. Kovaleski. His research focuses on [7] A. Benwell, S. Kovaleski, and M. Kemp, “A resonantly driven piezoelec- the testing and optimization of high-voltage piezo- tric transformer for high voltage generation,” in Proc. IEEE Int. Power electric sources for the production and acceleration Modul. High Volt. Conf., May 2008, pp. 113–116. of charged particles.
  • 6. GALL et al.: INVESTIGATION OF PIEZOELECTRIC EFFECT AS MEANS TO GENERATE X-RAYS 111 Scott D. Kovaleski (M’99–SM’09) received the B.S. Baek Hyun Kim (M’11) received the B.A. degree in physics from Chungnam degree in nuclear engineering from Purdue Univer- National University, Daejeon, Korea, in 2001 and the M.S. and Ph.D. degrees sity, West Lafayette, IN, and the M.S. and Ph.D. in materials science and engineering from the Gwangju Institute of Science and degrees in nuclear engineering with a specialty in Technology, Gwangju, Korea, in 2003 and 2008, respectively. plasma physics from the University of Michigan, In 2008, he joined the Department of Materials Science and Engineering, Ann Arbor. Carnegie Mellon University, Pittsburgh, PA, as a Postdoctoral Research As- From the University of Michigan, he moved on sociate. Since 2010, he has been a Postdoctoral Fellow with the Department to General Electric (GE) Lighting, where he was of Electrical and Computer Engineering, University of Missouri, Columbia. a Product Scientist working on quartz metal halide His research interests include low-dimensional nanostructures and optical and arc lamps. From GE Lighting, he became a Con- electrical devices using low-dimensional nanostructures. tractor with Glenn Research Center, NASA, where Dr. Kim is a member of the Materials Research Society, Korean Physical he worked on the International Space Station plasma contactor and on ion Society, and Korean Vacuum Society. propulsion. Since 2003, he has been with the University of Missouri, Columbia, where he has worked on numerous research projects in the areas of compact accelerators, plasma and ion sources, electric propulsion, and pulsed power. He Jae Wan Kwon (S’96–M’04) received the B.S. degree in electronics engineer- and his students have conducted studies in pulsed-power engineering relevant ing from Kyungpook National University, Daegu, Korea, in 1994 and the M.S. to flashover insulation of high-voltage accurate laser triggering of gas-filled and Ph.D. degrees in electrical engineering from the University of Southern switches and solid-state pulsed-power switching. He has developed and studied California, Los Angeles, in 1997 and 2004, respectively. compact ion accelerators and ion sources based on piezoelectric transformer He is currently an Associate Professor with the Department of Electrical and high-voltage sources for space propulsion and compact neutron generators. His Computer Engineering, University of Missouri, Columbia, where he also holds research interests include nuclear science, accelerators and plasmas, energetic a courtesy appointment with the Department of Biological Engineering. His particle sources, and related technologies. research interests include micro-/nanoelectromechanical systems, micro power Dr. Kovaleski is a member of the American Physical Society and the sources, microfabrication processing technology, piezoelectric transducers, mi- American Nuclear Society. crofluidic systems, biomedical microsystems, and nanotechnology. Prof. Kwon was a recipient of the NSF CAREER Award, Missouri Honor Junior Faculty Research Award, Outstanding Paper Award in the IEEE In- ternational Conference on Solid-State Sensors, Actuators and Microsystems James A. VanGordon (S’07) received the B.S. and (Transducers 2009), and the Best New Application Paper Award from IEEE M.S. degrees in electrical engineering from the Uni- T RANSACTIONS ON AUTOMATION S CIENCE AND E NGINEERING (2006). He versity of Missouri, Columbia, in 2008 and 2010, has been serving on the Technical Program Committees of the International respectively, where he is currently working toward Workshop on Micro and Nanotechnology (PowerMEMS), the IEEE Conference the Ph.D. degree in electrical engineering. on Sensors, and the Hilton Head Solid-State Sensors, Actuators and Microsys- His research interests include pulsed-power sys- tems Workshop. tems, power electronics, and high-voltage circuit design. Mr. VanGordon is a student member of the Insti- Gregory E. Dale (S’97–M’03) received the B.S. degree in nuclear engineering tute of Nuclear Materials Management. from The University of New Mexico, Albuquerque, in 1995, the M.S. degree in nuclear engineering with a minor in physics from North Carolina State University, Raleigh, in 1998, and the Ph.D. degree in electrical engineering from the University of Missouri, Columbia, in 2003. Upon completing his dissertation, he joined Los Alamos National Laboratory Peter Norgard (S’02–M’09) received the M.S. and Ph.D. degrees in electrical (LANL), Los Alamos, NM, as a Technical Staff Member developing solid- engineering from the University of Missouri, Columbia, in 2006 and 2009, state pulsed-power modulators for compact accelerator systems. He is currently respectively. a Project Leader with the High Power Electrodynamics Group, Accelerator He is currently a Postdoctoral Research Fellow with the University of and Operations Technology Division, LANL. In this capacity, he is in charge Missouri, where he is conducting research on ion sources and accelerators and of several compact radiography, pulsed-power, compact neutron source, and on electrooptic voltage and current diagnostic techniques. accelerator production medical radioisotope projects. He has experience in experimental research, solid-state modulators, electron accelerators, nuclear medicine, radiography, electrothermal plasma guns, first-wall components in tokamak fusion reactors, radiation shielding, and radiation detection. Andrew Benwell (M’09), photograph and biography not available at the time Dr. Dale serves on the Executive Committee of the International Power of publication. Modulator and High Voltage Conference.