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IOSR Journal of Electrical and Electronics Engineering (IOSR-JEEE)
e-ISSN: 2278-1676,p-ISSN: 2320-3331, Volume 10, Issue 6 Ver.II (Nov – Dec. 2015), PP 01-06
www.iosrjournals.org
DOI: 10.9790/1676-10620106 www.iosrjournals.org 1 | Page
Performance Improvement of Microstrip antenna using Fractal
EBG structure and vias
Rajshri C. Mahajan1
, Dr. Vidha Vyas2
1
Research Scholar, College of Engineering, Pune-411005
2
College of Engineering, Pune-411005
Abstract: This paper investigates the effect of fractal EBG structure on performance of Microstrip antenna. It
also studies the effect of vias (Connection from EBG center to ground plane) on performance of antenna. EBG
structure is designed with 2 iterations considering the square shape of unit cell. The results show that the
bandwidth of MSA with EBG structure with vias antenna is increased by 1.125% over MSA without EBG
structure. Also S11 is decreased a-4.188dB for MSA with EBG structure with vias. Also back radiations are
decreased due to use of EBG structure with vias.
Keywords: Electronic Band gap structure (EBG), Bandwidth, Vias.
I. Introduction:
Modern communication requires low profile and smaller antennas. Important considerations for
antenna designers of compact high data rate wireless communications systems are wideband performance and
antenna size reduction. Microstrip antenna is popular for light weight, small size and planar characteristics [1-2].
The Microstrip antennas are used for Personal Digital Applications (PDA), laptops for Wi-Fi, Wi-max etc. A
typical antenna consists of antenna element and the finite ground plane. The ground plane resolves two
purposes-To redirect the back radiations ii) To shield the antenna.
Both antenna element and ground plane are made up of perfect conductive materials (PEC).
Antenna size reduction can be done by the reduction of ground plane size, given that limited area
available on the platforms. Such reduction means an increase in antenna backward radiation. Further, Perfect
electric conductor ground planes tend to give phase reversal to incident currents casing the destructive
interference between original and image currents. This can be avoided if ground plane and antenna are placed
quarter wavelength apart which makes the antenna bulky at low frequencies. Again, for larger sizes, a normal
conducting metal ground plane allows for surface wave propagation, which also contributes to backward
radiation via edge diffraction.
Moreover the widespread use of wireless devices, together with the requirement to fit them in ever
smaller packages, places radiating antennas in close proximity to sensitive electronic and biological systems. As
a result the antenna design faces the competing requirements of maximum radiated gain with minimized near-
field coupling to the environment. In traditional Microstrip Antenna , the ground surface is made up of
conducting material (Perfect Electric Conductor). The active patch element is placed above this ground surface
and dielectric layer is present between them. When the antenna radiates, some radiations are incident on
conductive ground surface. The ground surface reflects the radiations with phase reversal (1800
) with respect to
incident radiations. Then incident and reflected radiations cancel each other which reduce the overall efficiency
of antenna. Therefore a new kind of ground surface can be developed which will suppress the propagation of
radio frequency surface current ( reflections from ground surface).The surface has the property of providing
partial isolation between radiating element and surrounding surface. Textured ground surface is new kind of
modification to make antenna compact and increase directivity of Microstrip antenna. There are different forms
of textured ground surface which includes, EBG ( Electronic Band Gap ) structure, HIS (High Impedance
Surface), PBG( Photonic Band Gap), AMC (Artificial Magnetic Conductor),FSS (Frequency Selective Surface)
etc. These surfaces can be realized by array of metal protrusions on a flat metal sheet which are arranged in a
two-dimensional lattice, and can be visualized as mushrooms or thumbtacks protruding from the surface[1]. The
protrusions are formed as metal patches on the top surface of the board. These patches are connected to ground
plane with vias( conducting wires from metal protrusions to ground plane.)In this paper, Electronic Band Gap
structure is designed , fabricated and studied along with Microstrip patch antenna for improvement in antenna
parameters.
II. Design of EBG cell and structure:
EBG structure is periodic metal patches( which are also called as unit cell )placed on the dielectric
layer. The shape of cell can be regular or irregular. In this paper, fractal shaped cell is designed for better
directivity and bandwidth. The Microstrip patch is surrounded by EBG cells.
Performance Improvement of Microstrip antenna using Fractal EBG structure and vias
DOI: 10.9790/1676-10620106 www.iosrjournals.org 2 | Page
In this paper the Microstrip antenna at 2.4 GHz is designed and its length and width are optimized. Microstrip
antenna is feed using coaxially feed in which feed location is optimized for impedance matching. The substrate
layer is FR4 dielectric material (εr = 4.4) with dielectric loss tangent (tan δ) of 0.02.
The EBG structure is fractal shape of square element.
Figure 1 shows the geometry of unit cell of EBG which is based on fractal shape. A square of 3mm
x3mm is considered and it is cut along four corners with squares of 2mm x 2mm which is second iteration. In
third iteration, squares of 1 mm x 1mm are used to cut the corners of 2 mm x 2mm squares. A shape of unit cell
shown has the footprint of 6mm x 6mm.
The ground surface of PEC of 80mm x 90mm is considered and a substrate layer of height 1.6 mm is
placed on ground surface. Two dimensional structure of EBG cells of 11 x 12 unit are etched on substarte layer.
On the same layer , the micro-strip patch is also etched at the centre. The dimensions of Micro-strip patch are 28
mm x37mm.
Fig.1 EBG Unit cell structure
Figure 2 Top view of Microstrip Antenna with EBG structure without vias
Figure 2 shows the Microstrip antenna with EBG structure without vias.The Microstrip antenna is
designed with vias ( PTH at the centre of each EBG cell which is the connection from plane of micro strip patch
to the ground surface). Figure 3 shows the top view of designed antenna with EBG structure with vias.
Figure 3 Top view of Microstrip Antenna with EBG structure without vias
Each EBG cell in antenna acts a low pass filter where the gap between two consecutive cells acts as
capacitor and the thickness of substrate layer acts as inductance. Fig. shows the representation of filter.
Performance Improvement of Microstrip antenna using Fractal EBG structure and vias
DOI: 10.9790/1676-10620106 www.iosrjournals.org 3 | Page
The fractal shape makes different gaps between inner squares and outer 2 squares and so there are different
values of capacitances present between the gaps. The equivalent circuit can be shown in figure 4.Figure 5,6 and
7 show photographs of fabricated antennae.
Figure 4 Equivalent circuit for Fractal EBG cell
III. Testing & Measurements of Antenna
Figures 5, 6 and 7 show the photographs of fabricated antennae.
Figure 5 Photograph of Fabricated Microstrip antenna
Figure 6 Photograph of Fabricated Microstrip antenna with EBG structure without vias
Figure 7 Photograph of Fabricated Microstrip antenna with EBG structure with vias
Performance Improvement of Microstrip antenna using Fractal EBG structure and vias
DOI: 10.9790/1676-10620106 www.iosrjournals.org 4 | Page
The Microstrip antenna with and without vias are tested using Vector Network Analyzer for S11 and
SWR. For measurement, R&S®ZNB Vector Network Analyzer was used with frequency span 1 GHz to 3 GHz.
These antennae are tested using antenna measurement system and parameters like directivity, radiation pattern
were found out, front to back ratio, XPD levels have measured and compared.
IV. Results and discussion:
Figures 8,9 and 10 show the radiation patterns of Micro strip antenna , Microstrip antenna with EBG
structure and Microstrip antenna with EBG structure with vias.
From the patterns, it is observed that the back radiations are removed for Microstrip antenna with EBG
structure with vias. The cross polarized radiation patterns also measured for these antennae.
Figure 8. Radiation pattern for Microstrip antenna without EBG structure
Figure 9 Radiation pattern for Microstrip antenna with EBG structure without vias
Figure 10 Radiation pattern for Microstrip antenna with EBG structure with vias
. Figures 11,12 and 13 show the SWR graphs vs frequency. The SWR values are closer to unity all three
antennae.
Performance Improvement of Microstrip antenna using Fractal EBG structure and vias
DOI: 10.9790/1676-10620106 www.iosrjournals.org 5 | Page
Figure11 VSWR vs Frequency graph for Microstrip patch antenna without EBG
Figure 12 VSWR vs Frequency graph for Microstrip patch antenna with EBG structure without Vias
Figure 13 VSWR vs Frequency graph for Microstrip patch antenna with EBG structure with vias
The SWR values are also maintained closer to unity for designed antennae. Microstrip antenna with
EBG structure with vias has SWR value closest to unity out of three antennae.
Parameter Microstrip
antenna
without
EBG
structure
Microstrip
antenna with
EBG
structure
without vias
Microstrip
antenna
with EBG
structure
with Vias
VSWR 1.1047 1.1936 1.0855
Impedance
bandwidth
32 MHz 53 MHz 59 MHz
Reflection
loss S11
-25.255 dB -20.745 dB -29.443 dB
Gain 10.48 dB 9.34 dB 9.44 dB
Directivity 10.82dB 11.06 dB 12.47 dB
HPBW 75.60
810
75.60
FNBW 151.20
1620
151.20
Front to back
ratio
17dBm 15.75 dBm 22.87dBm
XPD level -20.8075 -24.1582 -12.3402
Table 1 Comparison of parameters of antenna
V. Conclusion
This paper outlines new type of fractal EBG structure with 2 iterations of square shaped unit cell. The
bandwidth of MSA with EBG structure with vias antenna is increased by 1.125% over MSA without EBG
structure. Also S11 is decreased a-4.188dB for MSA with EBG structure with vias. VSWR is maintained around
unity resulting into better radiation and minimum reflection loss. VSWR is closer to unity for Micro-strip
antenna with EBG structure with vias. Back-lobes are reduced up-to 22 dB using micro-strip antenna with EBG
structure with vias. Directivity is increased by 1.62 dB using EBG with vias and 0.24 dB using EBG without
vias wrt to Microstrip antenna without EBG structure.
Performance Improvement of Microstrip antenna using Fractal EBG structure and vias
DOI: 10.9790/1676-10620106 www.iosrjournals.org 6 | Page
References
[1] Dan Sievenpiper, Lijun Zhang, Romulo F. Jimenez Broas, Nicholas G. Alex´opolous, Eli Yablonovitch, ‘High-Impedance
Electromagnetic Surfaces with a Forbidden Frequency Band’, IEEE transactions on microwave theory and techniques, VOL. 47,
NO. 11, NOVEMBER 1999.
[2] Filippo Costa, Simone Genovesi, Agostino Monorchio, ‘A Chipless RFID Based on Multiresonant High-Impedance Surfaces’,
IEEE Transactions on Microwave theory and techniques, vol. 61, NO. 1, January 2013.
[3] Hyung-Joo Lee, Kenneth Lee Ford, Richard J. Langley, ‘Independently Tunable Low-Profile Dual-Band High-Impedance Surface
Antenna System for Applications in UHF Band’, IEEE transactions on antennas and propagation, vol. 60, NO. 9, September 2012.
[4] Andrea Vallecchi, Javier R. De Luis, Filippo Capolino, Franco De Flaviis, ‘Low Profile Fully Planar Folded Dipole Antenna on a
High Impedance Surface’, IEEE transactions on antennas and propagation, vol. 60, no. 1, January 2012.
[5] Zikri Bayraktar, Micah D. Gregoryr, Xiande Wang, Douglas H. Werner, ‘A Versatile Design Strategy for Thin Composite Planar
Double-Sided High-Impedance Surfaces’, IEEE transactions on antennas and propagation, VOL. 60, NO. 6, June 2012.
[6] In Kwang Kim, Huan Wang,Steven J. Weiss, Vasundara V. Varadan, ‘Embedded Wideband Metaresonator Antenna on a High-
Impedance Ground Plane for Vehicular Applications’, IEEE transactions on vehicular technology, Vol. 61, NO. 4, May 2012.
[7] Prafulla Deo, Amit Mehta, ,Dariush Mirshekar-Syahkal, Peter J. Massey Hisamatsu Nakano, ‘Thickness Reduction and
Performance Enhancement of Steerable Square Loop Antenna Using Hybrid High Impedance Surface’, IEEE transactions on
antennas and propagation, Vol. 58, No. 5, May 2010.
[8] Xi Chen, Long Li, Chang Hong Liang, Zi Jian Su, Cheng Zhu, ‘Dual-Band High Impedance Surface With Mushroom-Type Cells
Loaded by Symmetric Meandered Slots’, IEEE Transactions on Antennas and Propagation, Vol. 60, no. 10, October 2012.
[9] Ramesh Garg ,’Microstrip Antenna Design Handbook’, ISBN-13 978-0-521-88991-9 ,Artech House, Inc
[10] Girish Kumar and K.P.Ray’Broadband Micro-strip antennas’ , ISBN- 1-58053-244-6, Artech House, Inc
[11] Fan Yang, Yahya Rahmat,’Electromagnetic Band GapStructures in Antenna Engineering’, Cambridge University Press.

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Performance Improvement of Microstrip Antenna using Fractal EBG Structure and Vias

  • 1. IOSR Journal of Electrical and Electronics Engineering (IOSR-JEEE) e-ISSN: 2278-1676,p-ISSN: 2320-3331, Volume 10, Issue 6 Ver.II (Nov – Dec. 2015), PP 01-06 www.iosrjournals.org DOI: 10.9790/1676-10620106 www.iosrjournals.org 1 | Page Performance Improvement of Microstrip antenna using Fractal EBG structure and vias Rajshri C. Mahajan1 , Dr. Vidha Vyas2 1 Research Scholar, College of Engineering, Pune-411005 2 College of Engineering, Pune-411005 Abstract: This paper investigates the effect of fractal EBG structure on performance of Microstrip antenna. It also studies the effect of vias (Connection from EBG center to ground plane) on performance of antenna. EBG structure is designed with 2 iterations considering the square shape of unit cell. The results show that the bandwidth of MSA with EBG structure with vias antenna is increased by 1.125% over MSA without EBG structure. Also S11 is decreased a-4.188dB for MSA with EBG structure with vias. Also back radiations are decreased due to use of EBG structure with vias. Keywords: Electronic Band gap structure (EBG), Bandwidth, Vias. I. Introduction: Modern communication requires low profile and smaller antennas. Important considerations for antenna designers of compact high data rate wireless communications systems are wideband performance and antenna size reduction. Microstrip antenna is popular for light weight, small size and planar characteristics [1-2]. The Microstrip antennas are used for Personal Digital Applications (PDA), laptops for Wi-Fi, Wi-max etc. A typical antenna consists of antenna element and the finite ground plane. The ground plane resolves two purposes-To redirect the back radiations ii) To shield the antenna. Both antenna element and ground plane are made up of perfect conductive materials (PEC). Antenna size reduction can be done by the reduction of ground plane size, given that limited area available on the platforms. Such reduction means an increase in antenna backward radiation. Further, Perfect electric conductor ground planes tend to give phase reversal to incident currents casing the destructive interference between original and image currents. This can be avoided if ground plane and antenna are placed quarter wavelength apart which makes the antenna bulky at low frequencies. Again, for larger sizes, a normal conducting metal ground plane allows for surface wave propagation, which also contributes to backward radiation via edge diffraction. Moreover the widespread use of wireless devices, together with the requirement to fit them in ever smaller packages, places radiating antennas in close proximity to sensitive electronic and biological systems. As a result the antenna design faces the competing requirements of maximum radiated gain with minimized near- field coupling to the environment. In traditional Microstrip Antenna , the ground surface is made up of conducting material (Perfect Electric Conductor). The active patch element is placed above this ground surface and dielectric layer is present between them. When the antenna radiates, some radiations are incident on conductive ground surface. The ground surface reflects the radiations with phase reversal (1800 ) with respect to incident radiations. Then incident and reflected radiations cancel each other which reduce the overall efficiency of antenna. Therefore a new kind of ground surface can be developed which will suppress the propagation of radio frequency surface current ( reflections from ground surface).The surface has the property of providing partial isolation between radiating element and surrounding surface. Textured ground surface is new kind of modification to make antenna compact and increase directivity of Microstrip antenna. There are different forms of textured ground surface which includes, EBG ( Electronic Band Gap ) structure, HIS (High Impedance Surface), PBG( Photonic Band Gap), AMC (Artificial Magnetic Conductor),FSS (Frequency Selective Surface) etc. These surfaces can be realized by array of metal protrusions on a flat metal sheet which are arranged in a two-dimensional lattice, and can be visualized as mushrooms or thumbtacks protruding from the surface[1]. The protrusions are formed as metal patches on the top surface of the board. These patches are connected to ground plane with vias( conducting wires from metal protrusions to ground plane.)In this paper, Electronic Band Gap structure is designed , fabricated and studied along with Microstrip patch antenna for improvement in antenna parameters. II. Design of EBG cell and structure: EBG structure is periodic metal patches( which are also called as unit cell )placed on the dielectric layer. The shape of cell can be regular or irregular. In this paper, fractal shaped cell is designed for better directivity and bandwidth. The Microstrip patch is surrounded by EBG cells.
  • 2. Performance Improvement of Microstrip antenna using Fractal EBG structure and vias DOI: 10.9790/1676-10620106 www.iosrjournals.org 2 | Page In this paper the Microstrip antenna at 2.4 GHz is designed and its length and width are optimized. Microstrip antenna is feed using coaxially feed in which feed location is optimized for impedance matching. The substrate layer is FR4 dielectric material (εr = 4.4) with dielectric loss tangent (tan δ) of 0.02. The EBG structure is fractal shape of square element. Figure 1 shows the geometry of unit cell of EBG which is based on fractal shape. A square of 3mm x3mm is considered and it is cut along four corners with squares of 2mm x 2mm which is second iteration. In third iteration, squares of 1 mm x 1mm are used to cut the corners of 2 mm x 2mm squares. A shape of unit cell shown has the footprint of 6mm x 6mm. The ground surface of PEC of 80mm x 90mm is considered and a substrate layer of height 1.6 mm is placed on ground surface. Two dimensional structure of EBG cells of 11 x 12 unit are etched on substarte layer. On the same layer , the micro-strip patch is also etched at the centre. The dimensions of Micro-strip patch are 28 mm x37mm. Fig.1 EBG Unit cell structure Figure 2 Top view of Microstrip Antenna with EBG structure without vias Figure 2 shows the Microstrip antenna with EBG structure without vias.The Microstrip antenna is designed with vias ( PTH at the centre of each EBG cell which is the connection from plane of micro strip patch to the ground surface). Figure 3 shows the top view of designed antenna with EBG structure with vias. Figure 3 Top view of Microstrip Antenna with EBG structure without vias Each EBG cell in antenna acts a low pass filter where the gap between two consecutive cells acts as capacitor and the thickness of substrate layer acts as inductance. Fig. shows the representation of filter.
  • 3. Performance Improvement of Microstrip antenna using Fractal EBG structure and vias DOI: 10.9790/1676-10620106 www.iosrjournals.org 3 | Page The fractal shape makes different gaps between inner squares and outer 2 squares and so there are different values of capacitances present between the gaps. The equivalent circuit can be shown in figure 4.Figure 5,6 and 7 show photographs of fabricated antennae. Figure 4 Equivalent circuit for Fractal EBG cell III. Testing & Measurements of Antenna Figures 5, 6 and 7 show the photographs of fabricated antennae. Figure 5 Photograph of Fabricated Microstrip antenna Figure 6 Photograph of Fabricated Microstrip antenna with EBG structure without vias Figure 7 Photograph of Fabricated Microstrip antenna with EBG structure with vias
  • 4. Performance Improvement of Microstrip antenna using Fractal EBG structure and vias DOI: 10.9790/1676-10620106 www.iosrjournals.org 4 | Page The Microstrip antenna with and without vias are tested using Vector Network Analyzer for S11 and SWR. For measurement, R&S®ZNB Vector Network Analyzer was used with frequency span 1 GHz to 3 GHz. These antennae are tested using antenna measurement system and parameters like directivity, radiation pattern were found out, front to back ratio, XPD levels have measured and compared. IV. Results and discussion: Figures 8,9 and 10 show the radiation patterns of Micro strip antenna , Microstrip antenna with EBG structure and Microstrip antenna with EBG structure with vias. From the patterns, it is observed that the back radiations are removed for Microstrip antenna with EBG structure with vias. The cross polarized radiation patterns also measured for these antennae. Figure 8. Radiation pattern for Microstrip antenna without EBG structure Figure 9 Radiation pattern for Microstrip antenna with EBG structure without vias Figure 10 Radiation pattern for Microstrip antenna with EBG structure with vias . Figures 11,12 and 13 show the SWR graphs vs frequency. The SWR values are closer to unity all three antennae.
  • 5. Performance Improvement of Microstrip antenna using Fractal EBG structure and vias DOI: 10.9790/1676-10620106 www.iosrjournals.org 5 | Page Figure11 VSWR vs Frequency graph for Microstrip patch antenna without EBG Figure 12 VSWR vs Frequency graph for Microstrip patch antenna with EBG structure without Vias Figure 13 VSWR vs Frequency graph for Microstrip patch antenna with EBG structure with vias The SWR values are also maintained closer to unity for designed antennae. Microstrip antenna with EBG structure with vias has SWR value closest to unity out of three antennae. Parameter Microstrip antenna without EBG structure Microstrip antenna with EBG structure without vias Microstrip antenna with EBG structure with Vias VSWR 1.1047 1.1936 1.0855 Impedance bandwidth 32 MHz 53 MHz 59 MHz Reflection loss S11 -25.255 dB -20.745 dB -29.443 dB Gain 10.48 dB 9.34 dB 9.44 dB Directivity 10.82dB 11.06 dB 12.47 dB HPBW 75.60 810 75.60 FNBW 151.20 1620 151.20 Front to back ratio 17dBm 15.75 dBm 22.87dBm XPD level -20.8075 -24.1582 -12.3402 Table 1 Comparison of parameters of antenna V. Conclusion This paper outlines new type of fractal EBG structure with 2 iterations of square shaped unit cell. The bandwidth of MSA with EBG structure with vias antenna is increased by 1.125% over MSA without EBG structure. Also S11 is decreased a-4.188dB for MSA with EBG structure with vias. VSWR is maintained around unity resulting into better radiation and minimum reflection loss. VSWR is closer to unity for Micro-strip antenna with EBG structure with vias. Back-lobes are reduced up-to 22 dB using micro-strip antenna with EBG structure with vias. Directivity is increased by 1.62 dB using EBG with vias and 0.24 dB using EBG without vias wrt to Microstrip antenna without EBG structure.
  • 6. Performance Improvement of Microstrip antenna using Fractal EBG structure and vias DOI: 10.9790/1676-10620106 www.iosrjournals.org 6 | Page References [1] Dan Sievenpiper, Lijun Zhang, Romulo F. Jimenez Broas, Nicholas G. Alex´opolous, Eli Yablonovitch, ‘High-Impedance Electromagnetic Surfaces with a Forbidden Frequency Band’, IEEE transactions on microwave theory and techniques, VOL. 47, NO. 11, NOVEMBER 1999. [2] Filippo Costa, Simone Genovesi, Agostino Monorchio, ‘A Chipless RFID Based on Multiresonant High-Impedance Surfaces’, IEEE Transactions on Microwave theory and techniques, vol. 61, NO. 1, January 2013. [3] Hyung-Joo Lee, Kenneth Lee Ford, Richard J. Langley, ‘Independently Tunable Low-Profile Dual-Band High-Impedance Surface Antenna System for Applications in UHF Band’, IEEE transactions on antennas and propagation, vol. 60, NO. 9, September 2012. [4] Andrea Vallecchi, Javier R. De Luis, Filippo Capolino, Franco De Flaviis, ‘Low Profile Fully Planar Folded Dipole Antenna on a High Impedance Surface’, IEEE transactions on antennas and propagation, vol. 60, no. 1, January 2012. [5] Zikri Bayraktar, Micah D. Gregoryr, Xiande Wang, Douglas H. Werner, ‘A Versatile Design Strategy for Thin Composite Planar Double-Sided High-Impedance Surfaces’, IEEE transactions on antennas and propagation, VOL. 60, NO. 6, June 2012. [6] In Kwang Kim, Huan Wang,Steven J. Weiss, Vasundara V. Varadan, ‘Embedded Wideband Metaresonator Antenna on a High- Impedance Ground Plane for Vehicular Applications’, IEEE transactions on vehicular technology, Vol. 61, NO. 4, May 2012. [7] Prafulla Deo, Amit Mehta, ,Dariush Mirshekar-Syahkal, Peter J. Massey Hisamatsu Nakano, ‘Thickness Reduction and Performance Enhancement of Steerable Square Loop Antenna Using Hybrid High Impedance Surface’, IEEE transactions on antennas and propagation, Vol. 58, No. 5, May 2010. [8] Xi Chen, Long Li, Chang Hong Liang, Zi Jian Su, Cheng Zhu, ‘Dual-Band High Impedance Surface With Mushroom-Type Cells Loaded by Symmetric Meandered Slots’, IEEE Transactions on Antennas and Propagation, Vol. 60, no. 10, October 2012. [9] Ramesh Garg ,’Microstrip Antenna Design Handbook’, ISBN-13 978-0-521-88991-9 ,Artech House, Inc [10] Girish Kumar and K.P.Ray’Broadband Micro-strip antennas’ , ISBN- 1-58053-244-6, Artech House, Inc [11] Fan Yang, Yahya Rahmat,’Electromagnetic Band GapStructures in Antenna Engineering’, Cambridge University Press.