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TELKOMNIKA, Vol.15, No.3, September 2017, pp. 1149-1154
ISSN: 1693-6930, accredited A by DIKTI, Decree No: 58/DIKTI/Kep/2013
DOI: 10.12928/TELKOMNIKA.v15i3.6864  1149
Received May 11, 2017; Revised July 24, 2017; Accepted August 9, 2017
New Miniature Planar Microstrip Antenna Using DGS
for ISM Applications
R.Er-rebyiy*
1
, J.Zbitou
2
, M. Latrach
3
, A. Tajmouati
4
, A. Errkik
5
, L. EL Abdellaoui
6
1,2,4,5,6
LMEET Laboratory FST of Settat, University of Hassan 1st Settat, Morrocco
3
Microwave Group ESEO Angers, France
*Corresponding author, e-mail: ridouane1986@gmail.com
Abstract
The aim of this paper is to use defected ground structures (DGS) in order to miniaturize a
microstrip patch antenna. The DGS structure is integrated in the ground plane to improve the performance
of the planar antenna, and shifted the resonance frequency from 5.8 GHz to 2.5 GHz, with a
miniaturization up to 83%. The antenna is designed, optimized, and miniaturized by using the CST MW-
studio, mounted on an FR-4 substrate having a dielectric constant 4.4, a loss tangent tan (ɸ)=0.025,
thickness of 1.6 mm with the whole area of 34X34 mm2.The proposed antenna is suitable for ISM
(Industrial, Scientific and Medical) applications at 2.5 GHz with S11 ≤(-10) dB. The antenna is fed by
50ohm input impedance and it has good performances in terms of matching input impedance and radiation
pattern. The proposed antenna was fabricated and tested.Simulation and measurement results are in good
agreement.
Keywords: Defected Ground Structure (DGS), Miniaturisation, Planar Antenna, CST-MW, ISM
Copyright © 2017 Universitas Ahmad Dahlan. All rights reserved.
1. Introduction
Microwave components such as filters, couplers, antennas are used in the wireless
communication chain, but the important constraints for engineers in radio frequency (RF)
researches in recentyears are to obtainhigh performance with small size, lowcost, and ease of
integration. Microstrip planarantennas have been an important candidate for this new
progress research.
To miniaturize microstrip antennas several methods are used to achievethis goal,
amongthese techniques wedistinguish for instance: In [1] U-shaped slot canbeutilized as Fractal
shapes for miniaturization of patch antennas, also we can use meta-materials for size reduction
of patch antenna [2] and in [3] miniaturization is obtained by the complementary split ring
resonators. A Combination of the discussed techniques canalsobeused for getting miniaturized
antenna for example: Electromagnetic Band Gap (EBG), Photonic Band Gap (PBG), Defected
Microstrip Structure (DMS) and Defected Ground Structures (DGS) [4-6].
DGS is a famous technique used to miniaturize the size of planar antennas,
thismethodconsists of etching a simple shape in the ground plane or for the best performance
wecanetch a complicatedshape, this last serves to influence the distribution of current in the
antenna, also DGS technique canbeused in planar antenna for manyapproachessuch as:
reduction of mutual coupling, harmonic suppression reduction, size reduction of antennas
array [7, 9].
There are variousshapes structures whichcanbeetched in the ground plane such as:
fractal, dumbbell, periodic, spiral, circular, and L shaped [10], DGS shape is composed of
twodefected areas and a connecting slot which are the sources of the equivalent LC elements.
In otherwords, When DGS is inserted in a planar antenna, we can have an enhancement of the
effective capacitance and inductance, this changecl out its input impedance and as a results
thus shifting its frequency without change of antenna dimensions [11].
Therefore, in the present paper a new shaped slot are used in the ground plane as a
defectedground structure for the size reduction and miniaturization of the patch antenna. Initially
the proposedantennaresonatesat 5.8 GHz in the ISM band [12-13], and then the integration of
DGS permits to shift the resonancefrequency to 2.5 GHz having the same dimensions of the
 ISSN: 1693-6930
TELKOMNIKA Vol. 15, No. 3, September 2017 : 1149 – 1154
1150
antennavalidatedat 5.8 GHz. More details of the proposedantenna design procedures;
simulated and measuredresults are presented and discussedbelow.
2. Antenna Design
2.1. Antenna without DGS
The ideawas to achieve an antenna that functions in a high frequency band in order to
have miniature dimensions of the microstrip patch. Figure 1(a) shows the simple antenna
structure resonatingat 5.8 GHz; thisantenna is mounted on an FR4 substrate due to itslowcost
and easy fabrication.By using the CST-MW solver which integrates the various optimization
methods, the different parameters of the designedplanarantenna are as follows: WP=16mm,
LP=10.89mm, L1=7mm, L2=7mm Wf=3mm, W1=0.85mm and metallizationthickness of
t=0.035mm. The dimensions of the ground plane are WG=34mm and LG=34 mm.
Figure 1(b) presents the simulated reflection coefficient (S11) obtained for this antenna.
As we can see, we have an antenna which functions at 5.8GHz with a return loss under -30dB.
(a) (b)
Figure 1. (a) Geometry of the proposed planar antenna, (b)The return loss versus frequency
2.2. Antenna with DGS
Figure 2(a) presents the extracted equivalent circuit for the proposedDGS.By using the
equations below (1), (2) and the theoretical part as explained in [14] we can calculate the
various value of equivalent circuit illustrated in Figure 2(a).
2 2
0
1
4
L
f c


(1)
2 2
0 0
1
2 2 ( )
c
c
f
C
z f f
 
 
(2)
With z0 is the characteristic impedance of the microstrip line. Fo and Fc are the
resonantfrequency and the cutofffrequencyrespectively. Figure 2(b) shown the located place of
DGS in the metallic ground plane. The position of DGS plays an important role in shifting the
resonance frequency of the microstrip antenna previously presented in Figure 1(a).
Figure 2(c) illustrates the details of the DGS parameters in terms of values: the length
and the width of ground plane where LG=34mm, WG=34mm, the different values of the inner
and outer of the concentric rings shaped and different parameter values of the rectangular slot
are as follows: a=6.4 mm, b=3 mm, c=6 mm, d=5.9 mm, e=2.4 mm, f=1 mm, g=0.4 mm,
h=0.8mm.
TELKOMNIKA ISSN: 1693-6930 
New Miniature Planar Microstrip Antenna Using DGS for ISM Applications (R.Er-rebyiy)
1151
(a) (b)
(c)
Figure 2. (a) The equivalent circuit of presented DGS, (b) The position of the proposed DGS
inserted with the microstrip patch antenna, (c) The different parameters of the proposed DGS.
3. Simulation Results
After the integration of DGS structure, as illustrated in Figure 3 the simulation result
permits to obtain a good matching input impedance at 2.5 GHz with a value less than -30dB.
We can see that the DGS technique allows shifting the resonant frequency from 5.8 GHz to 2.5
GHz, which permits to have at the end a miniature antenna.
Figure 3. The return loss (S11) of the planar antenna integrating DGS elements
3.1. The Surface Current
Figure 4 shows the distributions of the surface current of the proposed planar antenna
integrating DGS elements at 2.5 GHz. As seen in Figure 4, the current density is most
concentrated along the finally the DGS structure; however a large surface current density was
observed over the structure without DGS.
 ISSN: 1693-6930
TELKOMNIKA Vol. 15, No. 3, September 2017 : 1149 – 1154
1152
Figure 4. The current distribution of patch antenna at 2.5GHz
3.2. Radiation Pattern and Gain results
The simulated radiation patterns of the planar antenna integrating DGS at 2.5 GHz in H-
plane and E-plane are illustrated in Figure 5. Into simulation; we obtain a gain value equal
to1.75dBi of the proposed antenna at 2.5 GHz.
Figure 5. 2D Radiation pattern of the planar antenna at 2.5GHz (in E-plane and H-plane)
4. Fabrication and Measurement
After the validation of the simulation results of the proposed patch antenna, we have
passed to fabrication. Figure 6 presents the photo of the fabricated antenna with DGS having a
volume of 34x34x1.6 mm
3
. The proposed antenna structure with DGS is fabricated by using
LPKF machine and tested by using Vector Network Analyzer (VNA) from Rohde & Schwarz.
Figure 6. A Photo of the fabricated antenna with DGS
The return loss (S11 parameter) was measured and compared to the simulated results.
As we can see in Figure 7, we have a good agreement between the simulated and measured
results. The result presented in Figure 7 shows that the proposed antenna can be suitable for
ISM applications at 2.5 GHz.
TELKOMNIKA ISSN: 1693-6930 
New Miniature Planar Microstrip Antenna Using DGS for ISM Applications (R.Er-rebyiy)
1153
Figure 7. The comparison between simulation and measurement of the reflection coefficient.
Figure 8 shows the Photograph of the fabricated antenna in the anechoic chamber. The
measured radiation patterns in E- and H-plane at 2.45 GHz are presented in Figure 9(a) and (b)
respectively.
Figure 8. Photograph of the fabricated antenna (Tested in the anechoic chamber)
(a) (b)
Figure 9.(a) Radiation pattern in E-plane at 2.45 GHz; (b) Radiation pattern in H-plane at 2.45
GHz
5. Conclusion
In this paper, we have presented the miniaturization of a microstrip patch antenna by
using DGS technique. The proposed antenna firstly was validated at 5.8GHz and after that
shifted by integrating DGS structures to a frequency of 2.5 GHz which permits to reachat the
end small dimensions. After the achievement and the test of the final miniature patch
antennawe have obtained good agreement between simulation and measurementresults. The
final circuit is suitable for ISM applications.
 ISSN: 1693-6930
TELKOMNIKA Vol. 15, No. 3, September 2017 : 1149 – 1154
1154
Acknowledgements
We thank Mr. Mohamed Latrach Professor in ESEO, engineering institute in Angers,
France, for allowing us to use all the equipment and solvers available in his laboratory.
References
[1] MKoohestani, M Golpour. U-shaped microstrip patch antennawith novel parasitic tuning stubs for
ultra wide band applications. Microw. Antennas Propag. 2010; 4: 938-946.
[2] Homayoon Oraizi, ShahramHedayati. Miniaturization of Microstrip Antennas bythe Novel Application
ofthe Giuseppe Peano Fractal Geometries. IEEE Transactions on Antennas and Propagation. 2012;
60(8): 3559.
[3] JP Gianvittori, Y Rahmat-Samii.Fractal antenna: A novel antenna miniaturization technique, and
applications. IEEE Antenna Propagat. Mag. 2002; 44(1): 20-36.
[4] Dewan R, Rahim SKA, Ausordin SF, Purnamirza T. The improvement of array antenna
performancewith the implementation of an artificial magnetic conductor (AMC) ground plane and in-
phasesuperstrate. Progress in Electromagnetics Research. 2013; 140: 147-167.
[5] H Jiang, H Arai. Optimization of circular polarized patch antennawith cross-shaped slit. IEEE
Antennas and Propagation Society International Symposium. 2002; 1: 418-421.
[6] Ningsih YK, Hadinegoro R. Low Mutual Coupling DualbandMIMOMicrostrip Antenna Parasitic with
AirGap. TELKOMNIKA Indonesian Journal of Electrical Engineering. 2014; 12(2): 405-410.
[7] Darsono M, Wijaya E. Circularly Polarized Proximity-Fed Microstrip Array Antenna for Micro Satellite.
TELKOMNIKA Indonesian Journal of Electrical Engineering. 2013; 11(4): 803-810.
[8] Rahmadani, a Munir. Microstrip patch antenna miniaturizationusing artificial magnetic conductor.
20116th International Conference on Telecommunication Systems, Services, and Applications
(TSSA). 2011: 219-223.
[9] H Oraizi, S Hedayati. Miniaturization of Microstrip Antennas by the Novel Application of the Giuseppe
Peano Fractal Geometries. Antennas and Propagation, IEEE Transactionson. 2012; 60: 3559-3567.
[10] Arya AK, A Patnaik, MV Kartikeyan. Microstrip patch antenna with skew-F shapedDGS for dual band
operation. Progress in Electromagnetics Research M. 2011; 19: 147-160.
[11] Kapoor S, D Parkash. Miniaturized triple band microstrip patch antenna with defectedground
structure for wireless communication applications. International Journal of Computer Applications.
2012; 57(7).
[12] P Rocca, AF Morabito. Optimal synthesis of reconfigurable planar arrays with simplified architectures
for monopulse radar applications. IEEE Trans. Antennas Propag. 2015; 63(3): 1048-1058.
[13] T Isernia, A Massa, AF Morabito, P Rocca. On the optimal synthesis of phase-only reconfigurable
antenna arrays. Proceedings of the 5th European Conference on Antennas and Propagation (EuCAP
2011). Rome, Italy.2011: 2074-2077.
[14] IJ Bahl, P Bhartia. Microstrip Antennas. Dedham, MA: ArtechHouse. 1980.

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New Miniature Planar Microstrip Antenna Using DGS for ISM Applications

  • 1. TELKOMNIKA, Vol.15, No.3, September 2017, pp. 1149-1154 ISSN: 1693-6930, accredited A by DIKTI, Decree No: 58/DIKTI/Kep/2013 DOI: 10.12928/TELKOMNIKA.v15i3.6864  1149 Received May 11, 2017; Revised July 24, 2017; Accepted August 9, 2017 New Miniature Planar Microstrip Antenna Using DGS for ISM Applications R.Er-rebyiy* 1 , J.Zbitou 2 , M. Latrach 3 , A. Tajmouati 4 , A. Errkik 5 , L. EL Abdellaoui 6 1,2,4,5,6 LMEET Laboratory FST of Settat, University of Hassan 1st Settat, Morrocco 3 Microwave Group ESEO Angers, France *Corresponding author, e-mail: ridouane1986@gmail.com Abstract The aim of this paper is to use defected ground structures (DGS) in order to miniaturize a microstrip patch antenna. The DGS structure is integrated in the ground plane to improve the performance of the planar antenna, and shifted the resonance frequency from 5.8 GHz to 2.5 GHz, with a miniaturization up to 83%. The antenna is designed, optimized, and miniaturized by using the CST MW- studio, mounted on an FR-4 substrate having a dielectric constant 4.4, a loss tangent tan (ɸ)=0.025, thickness of 1.6 mm with the whole area of 34X34 mm2.The proposed antenna is suitable for ISM (Industrial, Scientific and Medical) applications at 2.5 GHz with S11 ≤(-10) dB. The antenna is fed by 50ohm input impedance and it has good performances in terms of matching input impedance and radiation pattern. The proposed antenna was fabricated and tested.Simulation and measurement results are in good agreement. Keywords: Defected Ground Structure (DGS), Miniaturisation, Planar Antenna, CST-MW, ISM Copyright © 2017 Universitas Ahmad Dahlan. All rights reserved. 1. Introduction Microwave components such as filters, couplers, antennas are used in the wireless communication chain, but the important constraints for engineers in radio frequency (RF) researches in recentyears are to obtainhigh performance with small size, lowcost, and ease of integration. Microstrip planarantennas have been an important candidate for this new progress research. To miniaturize microstrip antennas several methods are used to achievethis goal, amongthese techniques wedistinguish for instance: In [1] U-shaped slot canbeutilized as Fractal shapes for miniaturization of patch antennas, also we can use meta-materials for size reduction of patch antenna [2] and in [3] miniaturization is obtained by the complementary split ring resonators. A Combination of the discussed techniques canalsobeused for getting miniaturized antenna for example: Electromagnetic Band Gap (EBG), Photonic Band Gap (PBG), Defected Microstrip Structure (DMS) and Defected Ground Structures (DGS) [4-6]. DGS is a famous technique used to miniaturize the size of planar antennas, thismethodconsists of etching a simple shape in the ground plane or for the best performance wecanetch a complicatedshape, this last serves to influence the distribution of current in the antenna, also DGS technique canbeused in planar antenna for manyapproachessuch as: reduction of mutual coupling, harmonic suppression reduction, size reduction of antennas array [7, 9]. There are variousshapes structures whichcanbeetched in the ground plane such as: fractal, dumbbell, periodic, spiral, circular, and L shaped [10], DGS shape is composed of twodefected areas and a connecting slot which are the sources of the equivalent LC elements. In otherwords, When DGS is inserted in a planar antenna, we can have an enhancement of the effective capacitance and inductance, this changecl out its input impedance and as a results thus shifting its frequency without change of antenna dimensions [11]. Therefore, in the present paper a new shaped slot are used in the ground plane as a defectedground structure for the size reduction and miniaturization of the patch antenna. Initially the proposedantennaresonatesat 5.8 GHz in the ISM band [12-13], and then the integration of DGS permits to shift the resonancefrequency to 2.5 GHz having the same dimensions of the
  • 2.  ISSN: 1693-6930 TELKOMNIKA Vol. 15, No. 3, September 2017 : 1149 – 1154 1150 antennavalidatedat 5.8 GHz. More details of the proposedantenna design procedures; simulated and measuredresults are presented and discussedbelow. 2. Antenna Design 2.1. Antenna without DGS The ideawas to achieve an antenna that functions in a high frequency band in order to have miniature dimensions of the microstrip patch. Figure 1(a) shows the simple antenna structure resonatingat 5.8 GHz; thisantenna is mounted on an FR4 substrate due to itslowcost and easy fabrication.By using the CST-MW solver which integrates the various optimization methods, the different parameters of the designedplanarantenna are as follows: WP=16mm, LP=10.89mm, L1=7mm, L2=7mm Wf=3mm, W1=0.85mm and metallizationthickness of t=0.035mm. The dimensions of the ground plane are WG=34mm and LG=34 mm. Figure 1(b) presents the simulated reflection coefficient (S11) obtained for this antenna. As we can see, we have an antenna which functions at 5.8GHz with a return loss under -30dB. (a) (b) Figure 1. (a) Geometry of the proposed planar antenna, (b)The return loss versus frequency 2.2. Antenna with DGS Figure 2(a) presents the extracted equivalent circuit for the proposedDGS.By using the equations below (1), (2) and the theoretical part as explained in [14] we can calculate the various value of equivalent circuit illustrated in Figure 2(a). 2 2 0 1 4 L f c   (1) 2 2 0 0 1 2 2 ( ) c c f C z f f     (2) With z0 is the characteristic impedance of the microstrip line. Fo and Fc are the resonantfrequency and the cutofffrequencyrespectively. Figure 2(b) shown the located place of DGS in the metallic ground plane. The position of DGS plays an important role in shifting the resonance frequency of the microstrip antenna previously presented in Figure 1(a). Figure 2(c) illustrates the details of the DGS parameters in terms of values: the length and the width of ground plane where LG=34mm, WG=34mm, the different values of the inner and outer of the concentric rings shaped and different parameter values of the rectangular slot are as follows: a=6.4 mm, b=3 mm, c=6 mm, d=5.9 mm, e=2.4 mm, f=1 mm, g=0.4 mm, h=0.8mm.
  • 3. TELKOMNIKA ISSN: 1693-6930  New Miniature Planar Microstrip Antenna Using DGS for ISM Applications (R.Er-rebyiy) 1151 (a) (b) (c) Figure 2. (a) The equivalent circuit of presented DGS, (b) The position of the proposed DGS inserted with the microstrip patch antenna, (c) The different parameters of the proposed DGS. 3. Simulation Results After the integration of DGS structure, as illustrated in Figure 3 the simulation result permits to obtain a good matching input impedance at 2.5 GHz with a value less than -30dB. We can see that the DGS technique allows shifting the resonant frequency from 5.8 GHz to 2.5 GHz, which permits to have at the end a miniature antenna. Figure 3. The return loss (S11) of the planar antenna integrating DGS elements 3.1. The Surface Current Figure 4 shows the distributions of the surface current of the proposed planar antenna integrating DGS elements at 2.5 GHz. As seen in Figure 4, the current density is most concentrated along the finally the DGS structure; however a large surface current density was observed over the structure without DGS.
  • 4.  ISSN: 1693-6930 TELKOMNIKA Vol. 15, No. 3, September 2017 : 1149 – 1154 1152 Figure 4. The current distribution of patch antenna at 2.5GHz 3.2. Radiation Pattern and Gain results The simulated radiation patterns of the planar antenna integrating DGS at 2.5 GHz in H- plane and E-plane are illustrated in Figure 5. Into simulation; we obtain a gain value equal to1.75dBi of the proposed antenna at 2.5 GHz. Figure 5. 2D Radiation pattern of the planar antenna at 2.5GHz (in E-plane and H-plane) 4. Fabrication and Measurement After the validation of the simulation results of the proposed patch antenna, we have passed to fabrication. Figure 6 presents the photo of the fabricated antenna with DGS having a volume of 34x34x1.6 mm 3 . The proposed antenna structure with DGS is fabricated by using LPKF machine and tested by using Vector Network Analyzer (VNA) from Rohde & Schwarz. Figure 6. A Photo of the fabricated antenna with DGS The return loss (S11 parameter) was measured and compared to the simulated results. As we can see in Figure 7, we have a good agreement between the simulated and measured results. The result presented in Figure 7 shows that the proposed antenna can be suitable for ISM applications at 2.5 GHz.
  • 5. TELKOMNIKA ISSN: 1693-6930  New Miniature Planar Microstrip Antenna Using DGS for ISM Applications (R.Er-rebyiy) 1153 Figure 7. The comparison between simulation and measurement of the reflection coefficient. Figure 8 shows the Photograph of the fabricated antenna in the anechoic chamber. The measured radiation patterns in E- and H-plane at 2.45 GHz are presented in Figure 9(a) and (b) respectively. Figure 8. Photograph of the fabricated antenna (Tested in the anechoic chamber) (a) (b) Figure 9.(a) Radiation pattern in E-plane at 2.45 GHz; (b) Radiation pattern in H-plane at 2.45 GHz 5. Conclusion In this paper, we have presented the miniaturization of a microstrip patch antenna by using DGS technique. The proposed antenna firstly was validated at 5.8GHz and after that shifted by integrating DGS structures to a frequency of 2.5 GHz which permits to reachat the end small dimensions. After the achievement and the test of the final miniature patch antennawe have obtained good agreement between simulation and measurementresults. The final circuit is suitable for ISM applications.
  • 6.  ISSN: 1693-6930 TELKOMNIKA Vol. 15, No. 3, September 2017 : 1149 – 1154 1154 Acknowledgements We thank Mr. Mohamed Latrach Professor in ESEO, engineering institute in Angers, France, for allowing us to use all the equipment and solvers available in his laboratory. References [1] MKoohestani, M Golpour. U-shaped microstrip patch antennawith novel parasitic tuning stubs for ultra wide band applications. Microw. Antennas Propag. 2010; 4: 938-946. [2] Homayoon Oraizi, ShahramHedayati. Miniaturization of Microstrip Antennas bythe Novel Application ofthe Giuseppe Peano Fractal Geometries. IEEE Transactions on Antennas and Propagation. 2012; 60(8): 3559. [3] JP Gianvittori, Y Rahmat-Samii.Fractal antenna: A novel antenna miniaturization technique, and applications. IEEE Antenna Propagat. Mag. 2002; 44(1): 20-36. [4] Dewan R, Rahim SKA, Ausordin SF, Purnamirza T. The improvement of array antenna performancewith the implementation of an artificial magnetic conductor (AMC) ground plane and in- phasesuperstrate. Progress in Electromagnetics Research. 2013; 140: 147-167. [5] H Jiang, H Arai. Optimization of circular polarized patch antennawith cross-shaped slit. IEEE Antennas and Propagation Society International Symposium. 2002; 1: 418-421. [6] Ningsih YK, Hadinegoro R. Low Mutual Coupling DualbandMIMOMicrostrip Antenna Parasitic with AirGap. TELKOMNIKA Indonesian Journal of Electrical Engineering. 2014; 12(2): 405-410. [7] Darsono M, Wijaya E. Circularly Polarized Proximity-Fed Microstrip Array Antenna for Micro Satellite. TELKOMNIKA Indonesian Journal of Electrical Engineering. 2013; 11(4): 803-810. [8] Rahmadani, a Munir. Microstrip patch antenna miniaturizationusing artificial magnetic conductor. 20116th International Conference on Telecommunication Systems, Services, and Applications (TSSA). 2011: 219-223. [9] H Oraizi, S Hedayati. Miniaturization of Microstrip Antennas by the Novel Application of the Giuseppe Peano Fractal Geometries. Antennas and Propagation, IEEE Transactionson. 2012; 60: 3559-3567. [10] Arya AK, A Patnaik, MV Kartikeyan. Microstrip patch antenna with skew-F shapedDGS for dual band operation. Progress in Electromagnetics Research M. 2011; 19: 147-160. [11] Kapoor S, D Parkash. Miniaturized triple band microstrip patch antenna with defectedground structure for wireless communication applications. International Journal of Computer Applications. 2012; 57(7). [12] P Rocca, AF Morabito. Optimal synthesis of reconfigurable planar arrays with simplified architectures for monopulse radar applications. IEEE Trans. Antennas Propag. 2015; 63(3): 1048-1058. [13] T Isernia, A Massa, AF Morabito, P Rocca. On the optimal synthesis of phase-only reconfigurable antenna arrays. Proceedings of the 5th European Conference on Antennas and Propagation (EuCAP 2011). Rome, Italy.2011: 2074-2077. [14] IJ Bahl, P Bhartia. Microstrip Antennas. Dedham, MA: ArtechHouse. 1980.