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PHYSICS OF
ULTRASOUND IMAGING
SOUND
• Human : 20 Hz – 20 kHz
• Ultrasound : 20 kHz – above
• Medical US : 1-10 MHz
ULTRASOUND WAVES
• Propagation: wave-like fashion (acoustics), by
expansion and compression of material
• Can be absorbed, refracted, focused, reflected
and scattered
• Image: acquired by echoes produced by
scattering or reflection of complex tissues
WAVE GENERATION
• Transducers, as both generators and receivers
• Compressing a small volume of tissue, then
releasing it
• Due to elastic properties of the
material, compressed volume expand to its past
equilibrium, making neighboring volumes compress
• As this process continues successively through
tissues, wave is generated
• Longitudinal waves (mostly in US) and shear waves
WAVE EQUATION
•
WAVE SOLUTIONS
•
ATTENUATION
•
SCATTERING
• If wavelength >> target in the body, scattering
occurs
• They vibrate as small spherical bodies, giving rise to
spherical waves
SCATTERING
•
FIELD PATTERN MODEL
•
DIFFRACTION FORMULATION
• A series of simplifying acoustical approximations
• Especially for far field, it gives very accurate formula
NARROWBAND PULSE
•
TRANSMITTED SIGNAL
•
RECEIVED SIGNAL
•
RECEIVED SIGNAL
•
PLANE WAVE APPROXIMATION
•
PLANE WAVE APPROXIMATION
•
PLANE WAVE APPROXIMATION
•
PARAXIAL APPROXIMATION
•
FRESNEL APPROXIMATION
•
FRESNEL APPROXIMATION
•
FRAUNHOFER APPROXIMATION
•
FRAUNHOFER APPROXIMATION
•
FRAUNHOFER APPROXIMATION
•
REVIEW
•
PULSE ECHO IMAGING
•
PULSE ECHO IMAGING
•
PULSE ECHO IMAGING
•
TRANSDUCER MOTION
•
GEOMETRIC ASSUMPTION
•
ACTUAL FIELD PATTERNS
•
ACTUAL FIELD PATTERNS
•
COMMENTS ON PULSE ECHO
IMAGING
•
A-MODE
Medical Imaging- Systems and Signals
Prince, J.L. – Links, J.M.
• Envelope detected, gain compensated signal, Amplitude
Mode
M-MODE
• Time evolution of repetitive A-Mode signals, which are
set to images as columns: Motion Mode
B-MODE
Medical Imaging- Systems and Signals
Prince, J.L. – Links, J.M.
• As transducer moves along the x-plane, A-mode
signals are keyed to the x-position of the transducer
• Then, the keyed signals produce B-Mode image by
brightness modulating -- Brightness Mode
TEXTURE (SPECKLE) IN B-MODE IMAGE
Image from
gehealthcare.com
• Granular, with a mottled dot pattern
SPECKLE
• Tissues have lots of scatterers, which are:
 very numerous
 randomly positioned throughout the tissue
• Generally scatterers are too close to be resolved
on images.
• In fact, an echo and the corresponding «dot» on
the US image is a combined signal from a group of
scatterers.
• So interference, constructiveness and
destructiveness plays a mojer role in imaging them
• Interestingly many characteristics of the
pattern, depend also on the imaging system itself.
(freq.)
ARTIFACTS
• Artifacts: structures and features on the image that
we construct, which is not 1-1 with the real object
• Assumptions that giving rise to incorrect results in
artifacts in imaging- and the reality:
Assumptions Reality
Reflectors on the beam axis Beam has a certain beamwidth, so
sometimes echoes are picked up
from structures off the axis
c is constant along the tissue Slight changes in c is present,
which leads to erronous location
Echo strength indicates organ
echogenicity
Slight deflections and refractions of
an US beam might occur, causing
to wrong location
ARTIFACTS
Reverberation Mirror Image Beamwidth effects
radiographics.rsna.org jultrasoundmed.org sciencedirect.com
RESOLUTION
•
RESOLUTION
•
BIBLIOGRAPHY
• Medical Imaging Signals and Systems, J.L.
Prince, J.M. Links
• Medical Imaging Systems, A. Macovski
• Foundations of Biomedical Ultrasound, R.S.C.
Cobbold

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Physics of ultrasound imaging