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International Journal of Advanced Research in Computer Engineering & Technology (IJARCET)
Volume 5 Issue 2, February 2016
229
ISSN: 2278 – 1323 All Rights Reserved © 2016 IJARCET

Abstract— We are living in the technological era, were we
preferred to have the portable devices rather than unmovable
devices. We are isolating our self rom the wires and we are
becoming the habitual of wireless world what makes the
device portable? I guess physical dimensions (mechanical) of
that particular device, but along with this the electrical
dimension is of the device is also of great importance.
Reducing the physical dimension of the antenna would result
in the small antenna but not electrically small antenna. We
have different definition for the electrically small antenna but
the one which is most appropriate is, where k is the
wave number and is equal to and a is the radius
of the imaginary sphere circumscribing the maximum
dimension of the antenna. As the present day electronic
devices progress to diminish in size, technocrats have become
increasingly concentrated on electrically small antenna
(ESA) designs to reduce the size of the antenna in the overall
electronics system. Researchers in many fields, including RF
and Microwave, biomedical technology and national
intelligence, can benefit from electrically small antennas as
long as the performance of the designed ESA meets the
system requirement.
Keywords— electrically small antenna, microstrip patch
antenna
I. INTRODUCTION
Electrically large antennas with dimensions of a portion of a
wavelength are well explored for proficient launch and
reception of electromagnetic signals. The half wave dipole and
quarter wave antenna are typical examples. However, in some
instances, distinctly in low frequency and handy applications,
the dimensions of a wavelength related antenna become
impractical. For these purpose the technocrats need to carved
the dimensions of the antenna in such a way that it satisfies the
limit of electrically small antenna. Antenna is said to be
electrically small when its largest physical dimension is much
smaller than the wavelength at which it operates; these
antennas are commonly found in the portion of the radio
frequency spectrum spanning from VLF to MF (3 - 3000 kHz).
At these frequencies, such antennas are employed in maritime
communications, air and coastal navigation, as well as local
broadcasting. An antenna's effective electrical length can be
changed without changing its physical length by adding
reactance, (inductance or capacitance) in series with it. Small
loop antennas are often referred to as magnetic antennas. This
is because they mostly respond to the magnetic component of
an electromagnetic wave and transmit a large magnetic
component in the extreme near field (<1/10 wavelength
distance).
II. PROBLEMS WITH ELECTRICALLY LARGE ANTENNAS
This is the world of miniaturization technocrats want to
embedded the everycomponent into a single unit and to make it
more handyas per the requirement of the changing technology.
Fig-1, The antenna used in the mobile phone of 1990‘s.
The mobile phones which were used during the 1990‘s are
having the antenna which is to the exterior of the internal
circuitry. This makes the device looks more bulkier and
perhaps the most costlier. And these types of antenna could be
easily ‗detuned‘ by the nearby objects, which is the critical
disadvantage of these types of antennas. Now if we want to
design the antenna for the RFID application we cannot go with
the traditional design of the antenna. An RFID tag requires the
Electrically small antennas: The art of miniaturization
Mukesh R chaurasia1
Pratima R Pimpalgaonkar2
Bhargavi Raval3
Trushit K. upadhyaya2
1,2,3,4
Charotar University of Science and Technology, Changa-388421
International Journal of Advanced Research in Computer Engineering & Technology (IJARCET)
Volume 5 Issue 2, February 2016
230
ISSN: 2278 – 1323 All Rights Reserved © 2016 IJARCET
printed antenna whose size is very small as compared to the
operating wavelength of the antenna.
Again if we want to embedded the antenna in the device itself
the dimension of the antenna should be compatible with the
dimension of the device. Now a days the electronic devices are
shrinking to such an extent that the whole accessories along
with the antenna unit could be of 4.5 inch or even less than that.
Fig-2, The mobile phone of current technology.
PCS (Personal communication system) devices have become an
integral part of everyday life. The need to design the light
weight, small and handy mobile communication devices is
increasing rapidly, which emphasizes the RF engineers to
create the optimal antenna for the mobile application. Thus, the
size of the electronics required for mobile application has
decreased heavily during the past two decades, but the
performance has increased. But the size of the antenna is not
explored so far as compared to size of the electronic circuit. The
dimensions of the antenna are related to the wavelength of the
frequency of its operation and not with the latest technology.
The antenna could be reduced but with the sacrifice of
bandwidth, gain and efficiency. The technique of
miniaturization dealt with the adjustment i.e the dimensions
are shrinked but the characteristics changes compared to that of
the large antenna.
The current technologies which demand the electrically small
antenna are the MIMO system in wireless communication
where more than one antenna is needed for the reception of
signal. To integrate more than one antenna in such a small
circuit is a tedious task, ESA being the good candidate for the
MIMO system. The other application which demand an
electrically small antenna is RFID, an RFID tag consist of
mainly memory chip and a trans receiver the size of the tag is
typically very small it is one of the growing field of digital
communication the antenna used in such tag could be such that
the dimensions are of less than the operating wavelength of the
antenna.
III. ELECTRICALLY SMALL ANTENNA (ESA)
An ESA is an antenna that satisfies the condition ka < 1 ‗k‘ is
the wave number 2π/λ ‗a‘ is the radius of the minimum size
sphere that encloses the antenna .
Fig-3, An Electrically small antenna, the largest dimension of
the antenna are enclosed within the sphere of radius a.
The antenna here inside the imaginary sphere would be the one
with such characteristics of the electrically small antenna the
dimensions of which are directly related to the operating
wavelength of the antenna. 62 years past wheeler published his
paper which theoretically proves the fundamental limit on
achievable parameter called electrically small antennas
(ESAs). As the electronic devices continuously reducing in size
the demand for the electrically small antenna is growing. But
the miniaturization of electrically small antennas is still a
challenging issue for the RF engineers because of the
fundamental limits that needed to overcome for the
performance improvement of ESAs. According to Wheeler‘s
paper an ESA is one whose maximum dimension is less than
λ/(2π). This relation is often expressed as: ka < 1. k = 2π/λ, λ is
the free space wavelength, a is radius of sphere enclosing the
maximum dimension of the antenna. One year later to the
publication of Wheeler‘s work, Chu derived a theoretical
relationship between the dimensions of an antenna and its
minimum quality factor. This relation can be expressed as
Qchu = 1/ (ka) + 1/(ka)3. With decreasing electrically size,
ESAs exhibit decreasing radiation resistance, increasing
reactance, decreasing efficiency, and an increasing Q, which is
Thickness ~ 1cm
Length ~ 12cm
International Journal of Advanced Research in Computer Engineering & Technology (IJARCET)
Volume 5 Issue 2, February 2016
231
ISSN: 2278 – 1323 All Rights Reserved © 2016 IJARCET
equivalent to a decreasing bandwidth. ESAs are high
impedance mismatch relative to the characteristic impedance
of common transmission lines.
IV. DESIGN OF ESA FOR GPS APPLICATION
The technocrats in the past two decades have diverted their
attention towards the microstrip patch antennas only because
of the numerous advantage related to this particular type of
antenna it had got the planar geometry which make it to be
easily integrable with the existing circuit of application.
Presentlythis field has been considered as one of the influential
field of the antenna engineering. A unique and elementary
single band antenna is presented which is fed by a 50 ohm
coaxial line having a low-profile antenna structure with
meandering the portion of the patch In this research, a
meandered line electrically small microstrip patch antenna is
designed having the return loss bandwidths which suits for
GPS application (GPS L5 1.176 GHz) and having the
frequency band range from 1167 MHz to 1187 MHz and the
resonating frequency is at 1176 MHz, the simulation results for
return loss, impedance bandwidth, radiation patterns, and gain
are also discussed herein. Meandering line are adopted to
disturb the flow path of the surface current, by ultimately
offering the local inductive effect.
An electrically small antenna is being designed to operate
within the limits of the acceptable frequency. The synthesis of
more than one antenna for MIMO (multiple input multiple
output) application in each mobile terminal is a challenging
task. Electrically small antennas are the right applicants for
these applications. Meander line antennas are typical
electricallysmall antennas which are being preferred in MIMO
systems. The electrically small antenna is developed by
meandering the line from the patch.
Designing of the Antenna
i) Designing of the width of the
[1]
Here, fo is the center frequency, εr is relative permittivity and
c is the speed of light.
[2]
[3]
[4]
[5]
Equation [2] – [5] are used for designing the length of the
patch. Also t is the thickness of the substrate which is taken as
1.5mm
Here in the design we have meandered the patch just to make it
compact and to reduce the dimension just to integrate the
antenna with the thickness of the mobile devices bearing
thickness less than 1cm. Top view of the design is shown in
figure 4.
TABLE I
DIMENSION LIST
Title Measurement
Length of the rectangular patch (L) 25mm
Width of the rectangular patch (W) 25mm
Substrate thickness 1.5 mm
Dielectric Constant of Substrate 4.4
TABLE II
MATERIAL LIST
Title Material
Patch PEC
Substrate FR-4 Epoxy
Ground PEC
International Journal of Advanced Research in Computer Engineering & Technology (IJARCET)
Volume 5 Issue 2, February 2016
232
ISSN: 2278 – 1323 All Rights Reserved © 2016 IJARCET
Fig-4, Top view of the proposed design of electrically small
antenna.
From the patch nine (9) slots of 24 x 1 mm 2
is being meandered
to enhance the path for the surface current flow and to have the
better fringing fields out of the radiating patch and hence to
improve the radiation characteristics of the electrically small
microstrip patch antenna.
Simulation results and Discussions
The simulation of entire stuff is completed on HFSS 14, it is
one of the best accepted simulator of the RF antenna worldwide
and in industries too. Figure 2 shows the Return loss (S11) of
the design the return loss we are getting is around -12dB for the
center band frequency of 1.176 GHz for GPS application.
0.50 0.75 1.00 1.25 1.50 1.75 2.00
Freq[GHz]
-17.50
-15.00
-12.50
-10.00
-7.50
-5.00
-2.50
0.00
dB(S(1,1))
HFSSDesign1XYPlot1 ANSOFT
CurveInfo
dB(S(1,1))
Setup1:Sweep
fo=1.176GHz
Fig-5,Return loss (S11) of the Meandered ESA.
0.50 0.75 1.00 1.25 1.50 1.75 2.00
Freq[GHz]
0.00
20.00
40.00
60.00
80.00
100.00
120.00
140.00
VSWR(1)
HFSSDesign1XYPlot2 ANSOFT
CurveInfo
VSWR(1)
Setup1:Sweep
VSWR=1.38
Fig-6, Plot of VSWR of the meandered ESA
Fig-7 plot of Electric field intensity (V/m) of electrically small
antenna
Fig-8 Plot of Magnetic field intensity (A/m) of electrically
small antenna
24 mm
1 mm
International Journal of Advanced Research in Computer Engineering & Technology (IJARCET)
Volume 5 Issue 2, February 2016
233
ISSN: 2278 – 1323 All Rights Reserved © 2016 IJARCET
-39.60
-37.20
-34.80
-32.40
90
60
30
0
-30
-60
-90
-120
-150
-180
150
120
HFSSDesign1RadiationPattern1 ANSOFT
Curve Info
dB(GainTotal)
Setup1 : LastAdaptive
Freq='1.176GHz' Phi='0deg'
Fig-9, Radiation Pattern Of the Meandered Line Patch
Antenna.
V. CONCLUSION
Micro strip patch antenna is one of the dynamic fields in the
RF; these antennas have the great potential to cope up with any
application because of their numerous advantages. A
meandered line electrically small micro strip patch antenna is
designed and simulations results show that this antenna would
give optimum performance with the GPS application of center
frequency of 1.176 GHz. The Return loss of the antenna is
below -10dB from 1.167 GHz to 1.187 GHz. The antenna is
electricallysmall having ka = 0.51, which is good candidate for
the integration with the present day technology.
ACKNOWLEDGMENT
The authors would like to thank Dr. Trushit Upadhyaya for
his constant support and encouragement for the study
undertaken, the authors would also like to thank C S Patel
institute of technology a constituent of Charotar University of
science and Technology for providing such a wonderful
platform to carry out the study work.
REFERENCES
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2. Chu, Lan Jen. "Physical Limitations of
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International Journal of Advanced Research in Computer Engineering & Technology (IJARCET)
Volume 5 Issue 2, February 2016
234
ISSN: 2278 – 1323 All Rights Reserved © 2016 IJARCET
12. Gao, S-C., et al. "Analysis of an H-shaped patch
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H-shape cross slotted aperture-coupled microstrip
patch antenna‖. In Electromagnetics; Applications
and Student Innovation (iWEM), 2012 IEEE
International Workshop on IEEE (pp. 1-3).
15. Afzal, W., Rafique, U., Ahmed, M. M., Khan, M. A.,
& Mughal, F. A. (2012, May). ―A tri-band H-shaped
microstrip patch antenna for DCS and WLAN
applications‖. In Microwave Radar and Wireless
Communications (MIKON), 2012 19th International
Conference on IEEE (pp. 256-258).
16. Anguera, J., Boada, L., Puente, C., Borja, C., & Soler,
J. ―Stacked H-shaped microstrip patch
antenna‖. Antennas and Propagation, IEEE
Transactions on, 52(4), 983-993.
17. Mak, C. L., Luk, K. M., Lee, K. F., & Chow, Y. L.
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2012 Fourth International Conference on IEEE (pp.
45-48).

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Electrically small antennas: The art of miniaturization

  • 1. International Journal of Advanced Research in Computer Engineering & Technology (IJARCET) Volume 5 Issue 2, February 2016 229 ISSN: 2278 – 1323 All Rights Reserved © 2016 IJARCET  Abstract— We are living in the technological era, were we preferred to have the portable devices rather than unmovable devices. We are isolating our self rom the wires and we are becoming the habitual of wireless world what makes the device portable? I guess physical dimensions (mechanical) of that particular device, but along with this the electrical dimension is of the device is also of great importance. Reducing the physical dimension of the antenna would result in the small antenna but not electrically small antenna. We have different definition for the electrically small antenna but the one which is most appropriate is, where k is the wave number and is equal to and a is the radius of the imaginary sphere circumscribing the maximum dimension of the antenna. As the present day electronic devices progress to diminish in size, technocrats have become increasingly concentrated on electrically small antenna (ESA) designs to reduce the size of the antenna in the overall electronics system. Researchers in many fields, including RF and Microwave, biomedical technology and national intelligence, can benefit from electrically small antennas as long as the performance of the designed ESA meets the system requirement. Keywords— electrically small antenna, microstrip patch antenna I. INTRODUCTION Electrically large antennas with dimensions of a portion of a wavelength are well explored for proficient launch and reception of electromagnetic signals. The half wave dipole and quarter wave antenna are typical examples. However, in some instances, distinctly in low frequency and handy applications, the dimensions of a wavelength related antenna become impractical. For these purpose the technocrats need to carved the dimensions of the antenna in such a way that it satisfies the limit of electrically small antenna. Antenna is said to be electrically small when its largest physical dimension is much smaller than the wavelength at which it operates; these antennas are commonly found in the portion of the radio frequency spectrum spanning from VLF to MF (3 - 3000 kHz). At these frequencies, such antennas are employed in maritime communications, air and coastal navigation, as well as local broadcasting. An antenna's effective electrical length can be changed without changing its physical length by adding reactance, (inductance or capacitance) in series with it. Small loop antennas are often referred to as magnetic antennas. This is because they mostly respond to the magnetic component of an electromagnetic wave and transmit a large magnetic component in the extreme near field (<1/10 wavelength distance). II. PROBLEMS WITH ELECTRICALLY LARGE ANTENNAS This is the world of miniaturization technocrats want to embedded the everycomponent into a single unit and to make it more handyas per the requirement of the changing technology. Fig-1, The antenna used in the mobile phone of 1990‘s. The mobile phones which were used during the 1990‘s are having the antenna which is to the exterior of the internal circuitry. This makes the device looks more bulkier and perhaps the most costlier. And these types of antenna could be easily ‗detuned‘ by the nearby objects, which is the critical disadvantage of these types of antennas. Now if we want to design the antenna for the RFID application we cannot go with the traditional design of the antenna. An RFID tag requires the Electrically small antennas: The art of miniaturization Mukesh R chaurasia1 Pratima R Pimpalgaonkar2 Bhargavi Raval3 Trushit K. upadhyaya2 1,2,3,4 Charotar University of Science and Technology, Changa-388421
  • 2. International Journal of Advanced Research in Computer Engineering & Technology (IJARCET) Volume 5 Issue 2, February 2016 230 ISSN: 2278 – 1323 All Rights Reserved © 2016 IJARCET printed antenna whose size is very small as compared to the operating wavelength of the antenna. Again if we want to embedded the antenna in the device itself the dimension of the antenna should be compatible with the dimension of the device. Now a days the electronic devices are shrinking to such an extent that the whole accessories along with the antenna unit could be of 4.5 inch or even less than that. Fig-2, The mobile phone of current technology. PCS (Personal communication system) devices have become an integral part of everyday life. The need to design the light weight, small and handy mobile communication devices is increasing rapidly, which emphasizes the RF engineers to create the optimal antenna for the mobile application. Thus, the size of the electronics required for mobile application has decreased heavily during the past two decades, but the performance has increased. But the size of the antenna is not explored so far as compared to size of the electronic circuit. The dimensions of the antenna are related to the wavelength of the frequency of its operation and not with the latest technology. The antenna could be reduced but with the sacrifice of bandwidth, gain and efficiency. The technique of miniaturization dealt with the adjustment i.e the dimensions are shrinked but the characteristics changes compared to that of the large antenna. The current technologies which demand the electrically small antenna are the MIMO system in wireless communication where more than one antenna is needed for the reception of signal. To integrate more than one antenna in such a small circuit is a tedious task, ESA being the good candidate for the MIMO system. The other application which demand an electrically small antenna is RFID, an RFID tag consist of mainly memory chip and a trans receiver the size of the tag is typically very small it is one of the growing field of digital communication the antenna used in such tag could be such that the dimensions are of less than the operating wavelength of the antenna. III. ELECTRICALLY SMALL ANTENNA (ESA) An ESA is an antenna that satisfies the condition ka < 1 ‗k‘ is the wave number 2π/λ ‗a‘ is the radius of the minimum size sphere that encloses the antenna . Fig-3, An Electrically small antenna, the largest dimension of the antenna are enclosed within the sphere of radius a. The antenna here inside the imaginary sphere would be the one with such characteristics of the electrically small antenna the dimensions of which are directly related to the operating wavelength of the antenna. 62 years past wheeler published his paper which theoretically proves the fundamental limit on achievable parameter called electrically small antennas (ESAs). As the electronic devices continuously reducing in size the demand for the electrically small antenna is growing. But the miniaturization of electrically small antennas is still a challenging issue for the RF engineers because of the fundamental limits that needed to overcome for the performance improvement of ESAs. According to Wheeler‘s paper an ESA is one whose maximum dimension is less than λ/(2π). This relation is often expressed as: ka < 1. k = 2π/λ, λ is the free space wavelength, a is radius of sphere enclosing the maximum dimension of the antenna. One year later to the publication of Wheeler‘s work, Chu derived a theoretical relationship between the dimensions of an antenna and its minimum quality factor. This relation can be expressed as Qchu = 1/ (ka) + 1/(ka)3. With decreasing electrically size, ESAs exhibit decreasing radiation resistance, increasing reactance, decreasing efficiency, and an increasing Q, which is Thickness ~ 1cm Length ~ 12cm
  • 3. International Journal of Advanced Research in Computer Engineering & Technology (IJARCET) Volume 5 Issue 2, February 2016 231 ISSN: 2278 – 1323 All Rights Reserved © 2016 IJARCET equivalent to a decreasing bandwidth. ESAs are high impedance mismatch relative to the characteristic impedance of common transmission lines. IV. DESIGN OF ESA FOR GPS APPLICATION The technocrats in the past two decades have diverted their attention towards the microstrip patch antennas only because of the numerous advantage related to this particular type of antenna it had got the planar geometry which make it to be easily integrable with the existing circuit of application. Presentlythis field has been considered as one of the influential field of the antenna engineering. A unique and elementary single band antenna is presented which is fed by a 50 ohm coaxial line having a low-profile antenna structure with meandering the portion of the patch In this research, a meandered line electrically small microstrip patch antenna is designed having the return loss bandwidths which suits for GPS application (GPS L5 1.176 GHz) and having the frequency band range from 1167 MHz to 1187 MHz and the resonating frequency is at 1176 MHz, the simulation results for return loss, impedance bandwidth, radiation patterns, and gain are also discussed herein. Meandering line are adopted to disturb the flow path of the surface current, by ultimately offering the local inductive effect. An electrically small antenna is being designed to operate within the limits of the acceptable frequency. The synthesis of more than one antenna for MIMO (multiple input multiple output) application in each mobile terminal is a challenging task. Electrically small antennas are the right applicants for these applications. Meander line antennas are typical electricallysmall antennas which are being preferred in MIMO systems. The electrically small antenna is developed by meandering the line from the patch. Designing of the Antenna i) Designing of the width of the [1] Here, fo is the center frequency, εr is relative permittivity and c is the speed of light. [2] [3] [4] [5] Equation [2] – [5] are used for designing the length of the patch. Also t is the thickness of the substrate which is taken as 1.5mm Here in the design we have meandered the patch just to make it compact and to reduce the dimension just to integrate the antenna with the thickness of the mobile devices bearing thickness less than 1cm. Top view of the design is shown in figure 4. TABLE I DIMENSION LIST Title Measurement Length of the rectangular patch (L) 25mm Width of the rectangular patch (W) 25mm Substrate thickness 1.5 mm Dielectric Constant of Substrate 4.4 TABLE II MATERIAL LIST Title Material Patch PEC Substrate FR-4 Epoxy Ground PEC
  • 4. International Journal of Advanced Research in Computer Engineering & Technology (IJARCET) Volume 5 Issue 2, February 2016 232 ISSN: 2278 – 1323 All Rights Reserved © 2016 IJARCET Fig-4, Top view of the proposed design of electrically small antenna. From the patch nine (9) slots of 24 x 1 mm 2 is being meandered to enhance the path for the surface current flow and to have the better fringing fields out of the radiating patch and hence to improve the radiation characteristics of the electrically small microstrip patch antenna. Simulation results and Discussions The simulation of entire stuff is completed on HFSS 14, it is one of the best accepted simulator of the RF antenna worldwide and in industries too. Figure 2 shows the Return loss (S11) of the design the return loss we are getting is around -12dB for the center band frequency of 1.176 GHz for GPS application. 0.50 0.75 1.00 1.25 1.50 1.75 2.00 Freq[GHz] -17.50 -15.00 -12.50 -10.00 -7.50 -5.00 -2.50 0.00 dB(S(1,1)) HFSSDesign1XYPlot1 ANSOFT CurveInfo dB(S(1,1)) Setup1:Sweep fo=1.176GHz Fig-5,Return loss (S11) of the Meandered ESA. 0.50 0.75 1.00 1.25 1.50 1.75 2.00 Freq[GHz] 0.00 20.00 40.00 60.00 80.00 100.00 120.00 140.00 VSWR(1) HFSSDesign1XYPlot2 ANSOFT CurveInfo VSWR(1) Setup1:Sweep VSWR=1.38 Fig-6, Plot of VSWR of the meandered ESA Fig-7 plot of Electric field intensity (V/m) of electrically small antenna Fig-8 Plot of Magnetic field intensity (A/m) of electrically small antenna 24 mm 1 mm
  • 5. International Journal of Advanced Research in Computer Engineering & Technology (IJARCET) Volume 5 Issue 2, February 2016 233 ISSN: 2278 – 1323 All Rights Reserved © 2016 IJARCET -39.60 -37.20 -34.80 -32.40 90 60 30 0 -30 -60 -90 -120 -150 -180 150 120 HFSSDesign1RadiationPattern1 ANSOFT Curve Info dB(GainTotal) Setup1 : LastAdaptive Freq='1.176GHz' Phi='0deg' Fig-9, Radiation Pattern Of the Meandered Line Patch Antenna. V. CONCLUSION Micro strip patch antenna is one of the dynamic fields in the RF; these antennas have the great potential to cope up with any application because of their numerous advantages. A meandered line electrically small micro strip patch antenna is designed and simulations results show that this antenna would give optimum performance with the GPS application of center frequency of 1.176 GHz. The Return loss of the antenna is below -10dB from 1.167 GHz to 1.187 GHz. The antenna is electricallysmall having ka = 0.51, which is good candidate for the integration with the present day technology. ACKNOWLEDGMENT The authors would like to thank Dr. Trushit Upadhyaya for his constant support and encouragement for the study undertaken, the authors would also like to thank C S Patel institute of technology a constituent of Charotar University of science and Technology for providing such a wonderful platform to carry out the study work. REFERENCES 1. Wheeler, Harold. "Fundamental limitations of small antennas." Proceedings of the IRE 35.12 (1947): 1479-1484. 2. Chu, Lan Jen. "Physical Limitations of Omni‐Directional Antennas." Journal of applied physics 19.12 (1948): 1163-1175. 3. Collin, R. E. "Minimum Q of small Antennas." Journal of electromagnetic waves and applications 12.10 (1998): 1369-1393. 4. McLean, James S. "A re-examination of the fundamental limits on the radiation Q of electrically small antennas." Antennas and Propagation, IEEE Transactions on 44.5 (1996): 672. 5. Harrington, Roger F. "Effect of antenna size on gain, bandwidth, and efficiency."J. Res. Nat. Bur. Stand 64.1 (1960): 1-12. 6. Azadegan, Reza, and Kamal Sarabandi. "A novel approach for miniaturization of slot antennas."Antennas and Propagation, IEEE Transactions on 51.3 (2003): 421-429. 7. Alù, Andrea, and Nader Engheta. "Pairing an epsilon-negative slab with a mu-negative slab: resonance, tunneling and transparency." Antennas and Propagation, IEEE Transactions on 51.10 (2003): 2558-2571. 8. Patel, R. H., Desai, A., Upadhyaya, T., & Patel, S. K. ―Design of S-Shape GPS Application Electrically Small Antenna‖ Microwave and optical technology Letters. 2015. 9. Deshmukh, Aaradhana, and K. P. Ray. "Analysis of broadband Psi (ψ)-shaped microstrip antennas." Antennas and Propagation Magazine, IEEE 55.2 (2013): 107-123. 10. Izadi, Omid Hoseini, and Mandana Mehrparvar. "A compact microstrip slot antenna with novel E-shaped coupling aperture." Telecommunications (IST), 2010 5th International Symposium on. IEEE, 2010. 11. Jung, Chae-Hyun, Sang-Ho Lim, and Noh-Hoon Myung. "Analysis of an H-shape cross slotted aperture-coupled microstrip patch antenna." Microwave Conference, 2009. APMC 2009. Asia Pacific. IEEE, 2009.
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