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International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 02 | Feb 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2614
DESIGN OF DUAL FREQUENCY PROBE FED MICROSTRIP ANTENNA
USING SHORTING WALL
Sanjay S.Kulkarni1
1Extc. Dept., Shivajirao S. Jondhle College of Engineering& Technology, Asangaon (Thane), India.
---------------------------------------------------------------------***----------------------------------------------------------------------
Abstract:- Communication between humans was first by
sound through voice. With the desire for slightly more
distance communication came, devices such as drums, then,
visual methods such as signal flags and smoke signals were
used. These optical communication devices, of course,
utilized the light portion of the electromagnetic spectrum. It
has been only very recent in human history that the
electromagnetic spectrum, outside the visible region, has
been employed for communication, throughtheuseofradio.
One of humankind’s greatest natural resources is the
electromagnetic spectrum and the antenna has been
instrumental in harnessing this resource.
Dual-frequency operation of antennas has become a
necessity for many applications in recent wireless
communication systems, such as GPS, GSM services
operating at two different frequency bands, and services of
PCS and IMT-2000 applications. Although there are various
techniques to achieve dual-band operation from various
types of microstrip antennas, there is no efficientdesigntool
that has been incorporated with a suitable optimization
algorithm. The cavity-model based simulation tool or the
design of dual-bandmicrostripantennas,usingmultipleslots
in the patch or multiple shorting strips between the patch
and the ground plane. Since this approach is based on the
cavity model, the multiport approach is efficientlyemployed
to analyze the effects of the slots and shorting strips on the
input impedance. Then, the optimization of the positions of
slots and shorting strips is performed to achieve an
acceptable antenna operation over the desired frequency
bands. The antennas designed by this efficient design
procedure were realized experimentally, and the resultsare
compared. In addition, these resultsarealsocomparedto the
results obtained by the commercial electromagnetic
simulation tool, the FEM-based software HFSS by ANSOFT.
Introduction
The rectangular microstrip antennacanbedesigned
for the dual frequency or multi frequency application using
shorting wall. The shorting wall is a small copper strip which
is connected on the ground plane side and which is inserted
upto the rectangular radiating patch by making a slot or cut.
The slot is made at the edge depending upon the thickness of
the strip or wall(nearly1mm,thicknessconsideredinproject
model) the strip is inserted and then soldered. The various
effects observed or the results seen are being shown in the
later part of this chapter.
Design of antenna:
To design the antenna the general steps of
fabrication are followed as given below:
1. Selection of substrate:
The substrate which is the fiber epoxy material is
about 1mm thick and has copper clad on both sides, for this
project two prototype models made up of Alumina and
Kingster were used. The dimension of the clad is 9cm×11cm.
2. Layout and itching:
The rectangular patch of about 5cm×6cm was to be
made. The patch was made by the artwork and the required
patch was covered or masked. The itching was done by two
ways: a) By dipping in ferric chloridesolution.b)Byexposing
to ultraviolet rays. The sample antenna was itched using
ferric chloridesolution but for better accuracy the unwanted
copper was removed by exposing to ultraviolet rays.
3. Making of slot:
To connect the shorting walla slot of 1mm thick and
length of 2cm is done by using a zig-saw machine, similarly a
hole of 0.8mm is made for the connection of co-axial probe
connector.
4. Soldering:
Theshortingwallandprobeconnectorissolderedby
suitable soldering material and soldering gun. A care is to be
taken that the strip reaches upto the surface of radiating
patch and connection is properly done.
Antenna geometry:
The antenna described in the reference paper was
using slots and which is as described below in figure.1.The
method has improved to predict the input impedance of
microstripantennaswithmultiplestripsorslots,andtocover
microstrip antennas fed by slots in the ground plane . The
major restriction is the thickness of the substrate, which is
supposed to be not more than a few hundredths of a
wavelength. This is mainly because the model assumes that
neither field components nor the source can be a function of
the vertical coordinate under the patch. As a result of this
assumption, the electric field hasonlyzcomponent,whilethe
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 02 | Feb 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2615
magnetic field has only x and y components in the region
bounded by the microstrip patch and the ground plane,
Figure 1.a. Geometry of a microstrip antenna with one
probe feed x -directed and One y-directed shorting pin.
Figure 1.b. Geometry of a microstrip antenna with one
probe feed and two slots.
Fig.1 In addition, using the fact that the electric
current density on the microstrip patch has no normal
component along the edge of the patch, the tangential
magnetic field is assumed to be negligible not just at the
edges of the patch but all the way down to the ground plane.
Therefore, the region between the patch and the ground
plane can be surrounded by perfect magnetic conductor
(PMC) wall that would not significantlyaltertheoriginalfield
distribution under the patch, and hence forms a cavity.
Consequently, once the cavity is formed as the model of the
patch antenna, the fields in the cavityandsubsequentlyother
electrical characteristics can be easily obtained by the well-
known solution of the cavity.
The design ofantennatoobtaindualfrequencyusing
a probe fed is as shown in figure 2, figure a. shows the
antenna simulation using ANSOFT-HFSS software and figure
b. shows its practical design to study the various parameters
of antenna.
Figure 2.a: Antenna as in HFSS design
Figure 2.b: Antenna model (actual)
The fig 2.a shows an antenna with a co-axial feed
point at the left hand (lower bottom of the patch) and a
shorting wall connected at the edge parallel to x-axis, and
perpendicular to y-axis, indicated by a black line. Figure 2.b
shows the actual photograph of an antenna and the size
compared with a line tester.
Antenna specifications:
• 1. Electrical specification :
Band width = 5%
Gain= 5.46dBi
Side lobe level = 13dBi
Width length ratio = 80%
Power handled =0 .21watt
Beam width = 500
• 2. Mechanical specification :
Height = 6.54mm
Size 3”x3.4”x3”
Weight = less than 0.5kg
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 02 | Feb 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2616
Antenna results:
The simulation of antenna is done using ANSOFT-HFSS
software and following results are obtained for the various
parameters.
1. S–Parameter (Return loss):
S–Parameter
Return loss is a way to express the reflection
coefficient in logarithmic terms (dB). The red curved line is
the simulated return loss. This is the impedance of the
antenna, as the frequency is scanned from 1.5 GHz to 4 GHz.
Each point on the line represents the impedance at a
particular frequency. Points As the frequency is decreased,
the impedance changes. At f = 3.3 GHz, we have the third
band on the sharp impedance. At this point, the antenna
is resonant, which means the impedance is entirelyreal.The
frequency is scanned down until f=1.75 GHz, producing the
locus of points (the red curve) that represents the antenna
impedance over the frequency range. At f = 2.4 GHz, the
impedance is inductive,andthereflectioncoefficientisabout
0.65, since it is closer to 3 independent resonance.
2. VSWR:
VSWR
The curve demonstrates that, dual band is
achievable in simulated and measurement results. For
higher frequency band 2:1 ratio is achieved with
minimum VSWR 1.2 As shorting ratio decreases from 1 to
0.1, the measured resonance frequency reduces from 1.2
GHz to 3.7 GHz implying nearly 32% reduction. The
maximum error between the theoretical and experimental
resonance frequencies is 4.2%. With decrease in shorting
ratio from 1 to 0.1, the real part of the measured Zin
increases from 50.7 Ω to 52.8Ω.Inordertoobtainimpedance
matching with the 50Ω coaxial line, the feed point has to be
shifted closer to the edge side.
Results obtained practically:
The figure showstheresultobtainedonthenetwork
analyzer for the antenna design.Itisobservedthataccording
to the simulated results and the height of the shortingwall,if
the height of the wall is increased than the antenna is
resonant at higher frequencies and if the height is smaller
the antenna is resonant for lower frequencies. It is also seen
that the antenna can be used for multi-resonant frequency
depending upon the height of shorting wall. Thecomparison
of VSWR and Return loss can be done according to the
figures shown below. The appendix 1 & 2 shows the return
loss using 15mm & 10mm shorting wall height as well as
VSWR for 15mm & 10mm shorting wall.
Appendix-1
Return loss (15mm shorting wall)
Appendix-2
Return loss(10 mm shorting wall)
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 02 | Feb 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2617
Appendix-3
VSWR. (15mm shorting wall)
Appendix-4
VSWR.( 10mm shorting wall)
Conclusion
Dual-frequency operation of rectangular patch
antennas with shortingstripsand slotshasbeeninvestigated
via the cavity model in conjunctionwiththemultiporttheory.
An efficient and accurate design tool was proposed for dual-
band microstrip antennas using multiple vertical strips or
slots. For the examples provided in this study, the frequency
ratio of the high-band and low-band frequencies, and the
input impedances over these bands were used as the
specifications, while the coordinates and dimensions of the
strips or slots were the optimization parameters. The
antennas so designed have been realized, and dual-band
operation was verified experimentally as well as by
simulation of the antennas rigorouslyviaHFSSbyAnsoft.Itis
observed that the theoretical results agree well with the
experimental results. Therefore, this approach can be safely
proposed as an efficient CAD tool for dual-band microstrip
antennas that would use slots or vertical strips, at least for
the initial design of the antennas.
References
1. J.R. James and P.S. Hall, Hand Book of Micro strips
Antenna, Vol. 1, Peter Peregrnus Ltd., 1989.
2. C.A. Balanis, “Antenna Theory Analysis and Design”,
2nd ed; Willey New York, 1997.
3. G. Kumar and K.P. Ray, “Broadband Microstrip
Antennas”, Artech House, 2000.
4. Kin-Lu Wong “Compact Broadband Microstrip
Antennas”, John Willey & sons. Inc., New York, 2002.
5. HFSS Ansoft software for stimulation of MSA.
6. R. Porath, “Theory of miniaturized shorting-post
micro-strip antennas,”IEEE Transactions,Antennas
and Propagation, Vol. 48, No. 1, pp. 41-47, 2000.
7. M. Sanad, “Effect of the shorting posts on short
circuit microstrip antennas,” Proceedings, IEEE
Antennas and Propagation Society International
Symposium, pp. 794-797, 1994.
8. R. Garg, P. Bhartia, I. Bahl, and A. Ittipiboon, “Micro-
strip antenna design handbook,” Artech House:
London, 2001.
9. K. L. Wong and W. S. Chen, “Compact microstrip an-
tenna with dual-frequency operation,” Electronics
Letters, Vol. 33, No. 8, pp. 646-647, 1997.
10. A. Vallecchi, G. B. Gentili, and M. Calamia, “Dual-
band dual polarization microstrip antenna,”
Proceedings, IEEE International Symposium, pp.
134-137, 2003.
11. E. Lee, P. S. Hall, and P. Gardner, “Compact dual-
band dual-polarization microstrip patch antennas,”
Electronics Letters, Vol. 35, pp. 1034-1036, 1999.
12. James, J. R., and P. S. Hall, Handbook of Microstrip
Antennas, Vol. 1, London: Peter Peregrinus, Ltd.,
1989.
13. Sanad, M., ‘‘Effect of the Shorting Posts on Short
Circuit Microstrip Antennas,’’ IEEE AP-S Digest,
1994, pp. 794–797.
14. Satpathy, S., K. P. Ray, and G. Kumar, ‘‘Compact
Microstrip Antennas Using a
15. Single Shorting Post,’’ Proc. NSAML, New Delhi,
India, March 1998, pp. 69–72.
16. Ray, K. P., et al., ‘‘Investigations on Shorted
Rectangular Microstrip Antennas,’’ Proc. ELECTRO-
2000, BHU, Varanasi, India, January 2001, pp. 153–
156.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 02 | Feb 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2618
17. Bahl, I. J., and P. Bhartia, Microstrip Antennas,
Dedham, MA: Artech House, 1980.
18. George, J., et al., ‘‘New Compact Microstrip
Antenna,’’ Electronics Letters, Vol. 32, No. 6, 1996,
pp. 508–509.
19. Ray, K. P., ‘‘Broadband, Dual-Frequency and
Compact Microstrip Antennas,’’ Ph.D. thesis, Indian
Institute of Technology, Bombay, India, 1999.

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IRJET- Design of Dual Frequency Probe Fed Microstrip Antenna using Shorting Wall

  • 1. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 02 | Feb 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2614 DESIGN OF DUAL FREQUENCY PROBE FED MICROSTRIP ANTENNA USING SHORTING WALL Sanjay S.Kulkarni1 1Extc. Dept., Shivajirao S. Jondhle College of Engineering& Technology, Asangaon (Thane), India. ---------------------------------------------------------------------***---------------------------------------------------------------------- Abstract:- Communication between humans was first by sound through voice. With the desire for slightly more distance communication came, devices such as drums, then, visual methods such as signal flags and smoke signals were used. These optical communication devices, of course, utilized the light portion of the electromagnetic spectrum. It has been only very recent in human history that the electromagnetic spectrum, outside the visible region, has been employed for communication, throughtheuseofradio. One of humankind’s greatest natural resources is the electromagnetic spectrum and the antenna has been instrumental in harnessing this resource. Dual-frequency operation of antennas has become a necessity for many applications in recent wireless communication systems, such as GPS, GSM services operating at two different frequency bands, and services of PCS and IMT-2000 applications. Although there are various techniques to achieve dual-band operation from various types of microstrip antennas, there is no efficientdesigntool that has been incorporated with a suitable optimization algorithm. The cavity-model based simulation tool or the design of dual-bandmicrostripantennas,usingmultipleslots in the patch or multiple shorting strips between the patch and the ground plane. Since this approach is based on the cavity model, the multiport approach is efficientlyemployed to analyze the effects of the slots and shorting strips on the input impedance. Then, the optimization of the positions of slots and shorting strips is performed to achieve an acceptable antenna operation over the desired frequency bands. The antennas designed by this efficient design procedure were realized experimentally, and the resultsare compared. In addition, these resultsarealsocomparedto the results obtained by the commercial electromagnetic simulation tool, the FEM-based software HFSS by ANSOFT. Introduction The rectangular microstrip antennacanbedesigned for the dual frequency or multi frequency application using shorting wall. The shorting wall is a small copper strip which is connected on the ground plane side and which is inserted upto the rectangular radiating patch by making a slot or cut. The slot is made at the edge depending upon the thickness of the strip or wall(nearly1mm,thicknessconsideredinproject model) the strip is inserted and then soldered. The various effects observed or the results seen are being shown in the later part of this chapter. Design of antenna: To design the antenna the general steps of fabrication are followed as given below: 1. Selection of substrate: The substrate which is the fiber epoxy material is about 1mm thick and has copper clad on both sides, for this project two prototype models made up of Alumina and Kingster were used. The dimension of the clad is 9cm×11cm. 2. Layout and itching: The rectangular patch of about 5cm×6cm was to be made. The patch was made by the artwork and the required patch was covered or masked. The itching was done by two ways: a) By dipping in ferric chloridesolution.b)Byexposing to ultraviolet rays. The sample antenna was itched using ferric chloridesolution but for better accuracy the unwanted copper was removed by exposing to ultraviolet rays. 3. Making of slot: To connect the shorting walla slot of 1mm thick and length of 2cm is done by using a zig-saw machine, similarly a hole of 0.8mm is made for the connection of co-axial probe connector. 4. Soldering: Theshortingwallandprobeconnectorissolderedby suitable soldering material and soldering gun. A care is to be taken that the strip reaches upto the surface of radiating patch and connection is properly done. Antenna geometry: The antenna described in the reference paper was using slots and which is as described below in figure.1.The method has improved to predict the input impedance of microstripantennaswithmultiplestripsorslots,andtocover microstrip antennas fed by slots in the ground plane . The major restriction is the thickness of the substrate, which is supposed to be not more than a few hundredths of a wavelength. This is mainly because the model assumes that neither field components nor the source can be a function of the vertical coordinate under the patch. As a result of this assumption, the electric field hasonlyzcomponent,whilethe
  • 2. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 02 | Feb 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2615 magnetic field has only x and y components in the region bounded by the microstrip patch and the ground plane, Figure 1.a. Geometry of a microstrip antenna with one probe feed x -directed and One y-directed shorting pin. Figure 1.b. Geometry of a microstrip antenna with one probe feed and two slots. Fig.1 In addition, using the fact that the electric current density on the microstrip patch has no normal component along the edge of the patch, the tangential magnetic field is assumed to be negligible not just at the edges of the patch but all the way down to the ground plane. Therefore, the region between the patch and the ground plane can be surrounded by perfect magnetic conductor (PMC) wall that would not significantlyaltertheoriginalfield distribution under the patch, and hence forms a cavity. Consequently, once the cavity is formed as the model of the patch antenna, the fields in the cavityandsubsequentlyother electrical characteristics can be easily obtained by the well- known solution of the cavity. The design ofantennatoobtaindualfrequencyusing a probe fed is as shown in figure 2, figure a. shows the antenna simulation using ANSOFT-HFSS software and figure b. shows its practical design to study the various parameters of antenna. Figure 2.a: Antenna as in HFSS design Figure 2.b: Antenna model (actual) The fig 2.a shows an antenna with a co-axial feed point at the left hand (lower bottom of the patch) and a shorting wall connected at the edge parallel to x-axis, and perpendicular to y-axis, indicated by a black line. Figure 2.b shows the actual photograph of an antenna and the size compared with a line tester. Antenna specifications: • 1. Electrical specification : Band width = 5% Gain= 5.46dBi Side lobe level = 13dBi Width length ratio = 80% Power handled =0 .21watt Beam width = 500 • 2. Mechanical specification : Height = 6.54mm Size 3”x3.4”x3” Weight = less than 0.5kg
  • 3. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 02 | Feb 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2616 Antenna results: The simulation of antenna is done using ANSOFT-HFSS software and following results are obtained for the various parameters. 1. S–Parameter (Return loss): S–Parameter Return loss is a way to express the reflection coefficient in logarithmic terms (dB). The red curved line is the simulated return loss. This is the impedance of the antenna, as the frequency is scanned from 1.5 GHz to 4 GHz. Each point on the line represents the impedance at a particular frequency. Points As the frequency is decreased, the impedance changes. At f = 3.3 GHz, we have the third band on the sharp impedance. At this point, the antenna is resonant, which means the impedance is entirelyreal.The frequency is scanned down until f=1.75 GHz, producing the locus of points (the red curve) that represents the antenna impedance over the frequency range. At f = 2.4 GHz, the impedance is inductive,andthereflectioncoefficientisabout 0.65, since it is closer to 3 independent resonance. 2. VSWR: VSWR The curve demonstrates that, dual band is achievable in simulated and measurement results. For higher frequency band 2:1 ratio is achieved with minimum VSWR 1.2 As shorting ratio decreases from 1 to 0.1, the measured resonance frequency reduces from 1.2 GHz to 3.7 GHz implying nearly 32% reduction. The maximum error between the theoretical and experimental resonance frequencies is 4.2%. With decrease in shorting ratio from 1 to 0.1, the real part of the measured Zin increases from 50.7 Ω to 52.8Ω.Inordertoobtainimpedance matching with the 50Ω coaxial line, the feed point has to be shifted closer to the edge side. Results obtained practically: The figure showstheresultobtainedonthenetwork analyzer for the antenna design.Itisobservedthataccording to the simulated results and the height of the shortingwall,if the height of the wall is increased than the antenna is resonant at higher frequencies and if the height is smaller the antenna is resonant for lower frequencies. It is also seen that the antenna can be used for multi-resonant frequency depending upon the height of shorting wall. Thecomparison of VSWR and Return loss can be done according to the figures shown below. The appendix 1 & 2 shows the return loss using 15mm & 10mm shorting wall height as well as VSWR for 15mm & 10mm shorting wall. Appendix-1 Return loss (15mm shorting wall) Appendix-2 Return loss(10 mm shorting wall)
  • 4. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 02 | Feb 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2617 Appendix-3 VSWR. (15mm shorting wall) Appendix-4 VSWR.( 10mm shorting wall) Conclusion Dual-frequency operation of rectangular patch antennas with shortingstripsand slotshasbeeninvestigated via the cavity model in conjunctionwiththemultiporttheory. An efficient and accurate design tool was proposed for dual- band microstrip antennas using multiple vertical strips or slots. For the examples provided in this study, the frequency ratio of the high-band and low-band frequencies, and the input impedances over these bands were used as the specifications, while the coordinates and dimensions of the strips or slots were the optimization parameters. The antennas so designed have been realized, and dual-band operation was verified experimentally as well as by simulation of the antennas rigorouslyviaHFSSbyAnsoft.Itis observed that the theoretical results agree well with the experimental results. Therefore, this approach can be safely proposed as an efficient CAD tool for dual-band microstrip antennas that would use slots or vertical strips, at least for the initial design of the antennas. References 1. J.R. James and P.S. Hall, Hand Book of Micro strips Antenna, Vol. 1, Peter Peregrnus Ltd., 1989. 2. C.A. Balanis, “Antenna Theory Analysis and Design”, 2nd ed; Willey New York, 1997. 3. G. Kumar and K.P. Ray, “Broadband Microstrip Antennas”, Artech House, 2000. 4. Kin-Lu Wong “Compact Broadband Microstrip Antennas”, John Willey & sons. Inc., New York, 2002. 5. HFSS Ansoft software for stimulation of MSA. 6. R. Porath, “Theory of miniaturized shorting-post micro-strip antennas,”IEEE Transactions,Antennas and Propagation, Vol. 48, No. 1, pp. 41-47, 2000. 7. M. Sanad, “Effect of the shorting posts on short circuit microstrip antennas,” Proceedings, IEEE Antennas and Propagation Society International Symposium, pp. 794-797, 1994. 8. R. Garg, P. Bhartia, I. Bahl, and A. Ittipiboon, “Micro- strip antenna design handbook,” Artech House: London, 2001. 9. K. L. Wong and W. S. Chen, “Compact microstrip an- tenna with dual-frequency operation,” Electronics Letters, Vol. 33, No. 8, pp. 646-647, 1997. 10. A. Vallecchi, G. B. Gentili, and M. Calamia, “Dual- band dual polarization microstrip antenna,” Proceedings, IEEE International Symposium, pp. 134-137, 2003. 11. E. Lee, P. S. Hall, and P. Gardner, “Compact dual- band dual-polarization microstrip patch antennas,” Electronics Letters, Vol. 35, pp. 1034-1036, 1999. 12. James, J. R., and P. S. Hall, Handbook of Microstrip Antennas, Vol. 1, London: Peter Peregrinus, Ltd., 1989. 13. Sanad, M., ‘‘Effect of the Shorting Posts on Short Circuit Microstrip Antennas,’’ IEEE AP-S Digest, 1994, pp. 794–797. 14. Satpathy, S., K. P. Ray, and G. Kumar, ‘‘Compact Microstrip Antennas Using a 15. Single Shorting Post,’’ Proc. NSAML, New Delhi, India, March 1998, pp. 69–72. 16. Ray, K. P., et al., ‘‘Investigations on Shorted Rectangular Microstrip Antennas,’’ Proc. ELECTRO- 2000, BHU, Varanasi, India, January 2001, pp. 153– 156.
  • 5. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 02 | Feb 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2618 17. Bahl, I. J., and P. Bhartia, Microstrip Antennas, Dedham, MA: Artech House, 1980. 18. George, J., et al., ‘‘New Compact Microstrip Antenna,’’ Electronics Letters, Vol. 32, No. 6, 1996, pp. 508–509. 19. Ray, K. P., ‘‘Broadband, Dual-Frequency and Compact Microstrip Antennas,’’ Ph.D. thesis, Indian Institute of Technology, Bombay, India, 1999.