An Analytical Approach for Design of Microstrip Patch (MsP)

International Journal of Electrical and Computer Engineering (IJECE)
Vol. 8, No. 6, December 2018, pp. 4175~4183
ISSN: 2088-8708, DOI: 10.11591/ijece.v8i6.pp4175-4183  4175
Journal homepage: http://iaescore.com/journals/index.php/IJECE
An Analytical Approach for Design of Microstrip Patch (MsP)
R. J. Kavitha1
, H. S. Aravind2
1
Visvesvaraya Technological University, India
2
Department of Electronics & Communication Engineer, JSSATE, India
Article Info ABSTRACT
Article history:
Received Mar 14, 2018
Revised Jul 17, 2018
Accepted Aug 5, 2018
A reliable configuration of electromagnetic interactions for antenna design
can yield an effective Microstrip patch (MsP) antenna. During its design, the
antenna arrays involve issues with parameters (i.e., space, dimension, shape)
adjustment. This problem can be tackled with an analytical approach which
can help to bring better idea to design the antenna aaray. However, the
realistic designs of antenna array are quite expensive while extracting
computational accuracy. Thus, to have low cost computational accuracy
various meta-heuristic (generic algorithm, partical swarm optimizarion)
approaches are used and are considered as effective one in handling the
pattern synthesis problems. Howeever, the use of meta-heuristic approaches
demands thousands of functions to analyze the antenna design. This
manuscript introduces an analytical approach for MsP antenna desing using
MATLAB that brings optimization in handling the side lobes and optimizing
the reflection as well as radiation responses. The outcomes of the design
were analyzed with respect to reflection, radiation coefficients, side lobes
and found effective at 10GHz as per computational cost is concern.
Keyword:
Computational cost
Microstrip patch antenna
Radiation coefficients
Reflection coefficients
Side lobes
Copyright © 2018 Institute of Advanced Engineering and Science.
All rights reserved.
Corresponding Author:
R. J. Kavitha,
Visvesvaraya Technological University,
Belagavi, India.
kavitharjkkiran@gmail.com
1. INTRODUCTION
The Microstrip Patch (MsP) antenna arrays design demands a reliable electro-magnetic interactions
(EmI) within antenna array structures to provision the requirements of the antenna design induced by array
radiations and reflection responses [1]. The electro-magnetic interactions are consists of element
environment, element coupling, substrate finite size, feeding impact etc. Such impacts can only be reliably
accounted for design process through typically discrete, full-wave, electro-magnetic simulations mainly by
using complete antenna array module [2].
The antenna array design involved with issues elements dimensions adjustment, array shape
adjustment, array spacing adjustment, feeding location adjustment etc. In that regard, a mathematical
approach can be considered as effective for significant way of antenna array design [3]. The real time
implememtation of mathematical approach can leads to higher cost in antenna array design as it takes of
more number of simulations iterations in array model [4]. The meta-heuristics mechanisms such as particle
swarm optimization [5]; genetic algorithms [6] are outcomes with significant results which can handle the
pattern synthesis issues [7]. The limitation of meta-heuristic mechanisms is that it needs thousands of
functions for antenna design analysis. Hence, this paper aims to perform the accurate design of MsPantrnna
by using an analytical approach for pattern synthesis. Finally, the design analysis is performed by considering
the parameters like radiation, reflection coefficients, operating frequency and minimization of side lobes. The
paper is organized with sections like reveiew of existing works (in section 2), design and implementation of
proposed system (in section 3), results and analysis (in section 4) and conclusion (in section 5).

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Int J Elec & Comp Eng, Vol. 8, No. 6, December 2018 : 4175 - 4183
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2. RELATED WORK
The recent researches towards antenna design are reviewed in this section. A wast range of
researches are exist towards the design of wideband antenna and are capable of handling the transmission
issues and offer high speed communication. A survey work towards the design of MsP antenna and its
contribution towards communication system is found in Kavitaand Aravinda (2017) [8] that offers existing
research gap in MsP antenna technology. Similarly, Tang et al. (2016) [9] presented a strip-helical antenna
system with a parasitic circular patch for circular polarization which are capable of working like an
impedance bandwidth.
Further, Salih et al. [10] gave a dual-band patch antenna for small form factor devices. This antenna
was fabricated over Rogers (RO4350) board, the measured result have a good agreement with simulated
ones. A dual-band circularly polarized antennas have been receiving much attention due to their distinct
feature of single layer and single feeds. There are two different dissimilar radiators and two pairs of
degenerate’s mode TM01/TM10 and TM03/TM30 modes. In order to minimize the cost, miniaturised size,
and easy integration author Zahang et al. (2016) [11] introduced a dual-frequency band polarisation method
which achieves the radition about 7.0and 5.9 in the two bands. In Katyal et al. (2016) [12], a transmission-
line equivalent circut technique is presented for analysis of multilayered MsP antenna.The performance of
the technique is validated by analysis of broadband antenna and found that the proposed method is capable
for quick circuir level imitation and optimization. In the study of different type of printed antennas having
different type of patch like, rectangular, square, triangular, circular, elliptical are suitable for 60HZ wairless
application.
For reduce over all size and to avoid lossymillimetre-wave connectors author Hannachi et al. [13]
has proposed a keysight technologies, this given technology is very helpfull of radio frequency design. In
bandwidth improvement of an equilateral trangularMsP antenna under differential exitation, the radition
directivity of TM11 mode is atteched such a patch. For improved a lot of field distribution, Wang et al.
(2017) [14] have presented an additional mod for both TM10and TM11 exited for radiation. Both virtual and
measured result has been exhibit wide bandwidth and good presentation of radiation.
Broker et al. (2016) [15] given a linearly polarized dual-band patch antenna resulting low cross-polarization
and autonomous band control.Finelly, the resultsgives lower operating band and upper operating band is
shifted up to 10% lastly.To minimize the cross-polarization, low loss is applied to integrate the antenna array
and bring improvement in antenna array gain, Jing et al. (2015) [16] have presented a low temperature co-
fired ceramic (LTCC) process. This process has been used to fabricate and measure outcomes and found10-
dB of impedance and the gain of 18.62 dB at 61.5 GHz.
Trong et al. (2017) [17] proposed a center-shorted MsPmeschnism by which DC bias voltage; both
resonance frequencies variedsimulataneously. Li et al. (2016) [18] given a vertically integrated differential
filtering antenna that composed of a differential-fed MsP antenna with U-shaped differential resonator. The
outcomes of [18] behave as frequency responce for both gain and return loss. In order to generate millimeter-
wave, Yao et al. (2016) [19] gave a Hermite-Gussian (HG) method and are formed by four inset-fed MsP
element also with a microstripcorporate feeding network. Through [19] accuracy in measurement and
simulation is achieved. Attaran et al. (2016) [20], described a Rotman lens method in which the length on the
communication lines are not affected the progressive phase delay. Through [20], the complexity is minimized
and performance parameters are maximized which finally gives low phase error of 0.450 in critical condition.
Zhang et al. (2016) [21] illustratedMsP antenna with the capabilities of bandwidth and harmonic
suppression. Here, a pair of lemda/4 microstrio-line, wide band property can be obtained by making useful
use of thr two resonances introduce by burning patch and non-radiating patch. The given prototype antenna is
oprating at 4.9 GHZ is designed and fabricated, higher-order radiating modes has been effectively cancelled.
In Sun et al. (2016) [22], a proximity coupled cavity backed patch antenna is expressed for long range RFID
tag. The patch structure also offers a way to tune the resonant frequency of the antenna. The given antenna is
achieved a gain of 5.7 dBi. In order to provide support towards two distinct operating frequencies author
Smyth et al. (2016) [23] have given a novel dual-band MsPantenna based on EBG itegrated into its radiating
edges. Through this dual antenna radiation tracked at 2.4 GHz and 5.0 GHz frequency. Thus, in this paper the
priority is given for designing an accurate computerized tool for MsPantenna and following utilized
aanalytical approach which composed optimized synthesis of patterns for MsP antenna design.
3. SYSTEM MODEL FOR MICROSTRIP PATCH (MsP) ANTENNA
In order to get the geometrical topology for MsP antenna the architecture is shown in Figure 1.
The core component such as height of MsP antenna (d1), width of MsP antenna (d2), width of metal ground
slot aperture (w1), length of metal ground slot aperture (u1), clot center to patch center (v1), length of open
end stub, terminates the feed (v2), chamber length of the input microstrip (wc) and microstrip signal trace

Int J Elec & Comp Eng ISSN: 2088-8708 
An Analytical Approach for Design of Microstrip Patch (MsP) … (R. J. Kavitha)
4177
width (wo) are considered. The starting point (Sp) of the topology is initiated as [Spx, Spy] to arrive to the
patch element with Xpatch [], Ypatch [] a schematic shown in Figure 1.
Antenna parameters
(d1, d2, w1,u1,v1,v2,wc,wo)
Operating Frequency
Relative power Propagation pattern
Antenna impedance Reflection coifficient
Active
Reflection Coefficient
Side lobe level
Figure 1. Architecture of proposed design
Here the information’s of d1, d2, u1, v1, v2, wc and wo are considered as input parameters. Later,
the starting point (Sp) is defined corresponding to the coordinates of Xpath and Ypath. The Sp can be
obtained by,
Sp = [Spx, Spy] (1)
[Xpatch] = [Spi,∑(Spi + 𝐝𝟐), ∑(Spi + 𝐝𝟐), Spi, Spi ] at, i=1 (2)
[Ypatch] = [Spi,Spi ∑(Spi + 𝐝𝟏), ∑(Spi + 𝐝𝟏), (Spi1)] at, i=2 (3)
Further, the center localization of the patch (Px, Py) is computed by using equation 4.
Px = ∑((Spi + (
𝐝𝟐
𝟐
)), i=1
Py =∑((Spi + (
𝐝𝟏
𝟐
)), i=2 (4)
Figure 2. Patch with Xpatch []. Ypatch []
Based on these coordinates, a rectangle is plotted and for the same rectangle, patch center is
determined.
[PxPy] f (Spi, d1, d2) at i=1, 2 (5)

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Using this patch center, a center patch line is drawn.
i.e. [px-2 px+v1+v2], [pypy]
[pxpx], [2 py+d1/3+0.5] (6)
Then the clot center (Cc) is obtained, which is relative to the patch center.
Cc = ([px+v1 px+v1], [py-w0/2 py+d1/3+0.5] (7)
The distance for right angled triangle (xt) is obtained by using equation 8.
i.e. 2/2
wcxt  (8)
Then slot aperture of metal ground is calculated for both the Xpath and Ypath using equation 9.
xmetal_ground = [px+v1-w1/2 px+v1+w1/2 px+v1+w1/2 px+v1-w1/2 px+v1-w1/2]
ymetal_ground = [py-u1/2 py-u1/2 py+u1/2 py+u1/2 py-u1/2] (9)
Finally the labeling of the plot is done and outcome of the topology is shown in the Figure 3.
Figure 3. Default topology of MsP antenna
Topology Algorithm
Initialize : d1, d2, w1, u1, v1, v2,wc, wo
Sp[Spx, Spy]
[Xpatch ] [Spi ,∑(Spi + 𝐝𝟐), ∑(Spi + 𝐝𝟐), Spi, Spi ]i=1
[Ypatch ] [Spi, Spi ∑(Spi + 𝐝𝟏), ∑(Spi + 𝐝𝟏), (Spi1)]i=2
[PxPy]f (Spi, d1, d2) where, i=1, 2
[px-2 px+v1+v2], [pypy] and [pxpx], [2 py+d1/3+0.5]
Cc ([px+v1 px+v1], [py-w0/2 py+d1/3+0.5]
2/2
wcxt 
xmetal_ground [px+v1-w1/2 px+v1+w1/2 px+v1+w1/2 px+v1-w1/2 px+v1-w1/2]
ymetal_ground [py-u1/2 py-u1/2 py+u1/2 py+u1/2 py-u1/2]

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Synthesis of antenna array
initialize : d1, d2, w1, u1, v1, v2, wc, wo
c 8x108
if (i=1; i<=5; i++) where i- is iteration
fcnx109
where n = 8,9,10,11,12
λc/fc
NR or NC  bSin
2
Op  NR_NC(c, fc [d1, d2, w1, u1, v1, v2, wc, wo])
URA  Is ([ NCNR ] [ 2

2

]
AwEwnURA 
NR NR+
NC NC-
Repeat for op
To compute the relative power, the parameters like d1, d2, w1, u1, v1, v2, wc, wo are initialized.
Later, carrier frequency (fc) computed by using signal propagation speed (c). Further, wavelength (λ) is
calculated by dividing “c” with “fc”.
i.e., λ = c/fc (10)
The array size along with elevation and azimuth direction can be obtained by required beam width.
For the half wavelength spacing, the number of elements along with certain direction can be given as;
NR or NC =
bSin
2 (11)
In equation 11, the value of b represents the beam width along that direction. The other parameters (Op)
like azimuth cutoff and elevation cut off can obtain by following equation.
Op = NR_NC(c, fc [d1, d2, w1, u1, v1, v2, wc, wo]) (12)
Then, the uniform rectangular array (URA) is considered as the integration of two separable uniform Line
arrays (ULA) and designed the windows for both the elevation and azimuth direction through digital filer
design methods. Then the URA developed by identical sensor elements can be given as:
i.e., URA = Is ([ NCNR ] [
2

2
 ] (13)
In equation 13, Is indicates the identical sensor element. On assigning the weights to the array following
equation 14 is obtained.
i.e., AwEwnURA  (14)
Where nURA indicates the new URA, Ew indicates the elevation weight and Aw represents the Azimuth
weight. Later the comparison among the new URA and previous URA. In antenna technology the side lobes
are the local maxima or lobes of the far field radiation pattern which are not the main lobes. Here, the side
lobe level of the new URA is compared with the previous design. However, the new URA does not meet the
requirements and hence trial and error method is applied to NR and NC parameters.
i.e., NR = NR+
NC = NC-
Then obtained values of NR and NC are updated to get the optimized design results.

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4. RESULTS ANALYSIS
For design of MsP antenna MATLAB is used and obtained results on execusion. The performance
analysis of the design is compared with existing method. The following Figure 4, illustrates the beam pattern
for looks directions ranging from <-300
to 00
azimuth and elevation degrees and maintains null at -400
.
Figure 4. Beam pattern for azimuth and elevation degree
The array synthesis is represented in Figure 5 with respect to topology 1, 2, 4 and optimal topology
by considering bandwidth. Here, the topology 1 array is just crossing the required bandwidth of patterns of
topology 2, 4 and optimal topology. However, the side lobes of patterns bandwidth is higher that of desired
pattern. This kind of side lobes can be optimized by utilizing windowing operations to array. If URA is the
combination of two different uniform linear arrays (ULA), then thedesign of window can be performed
separately in both elevation and azimuth directions by utilizing filter designing models. The Figure 4 gives
the side lobe level compared with different topologies and is found that side lobe level of optimal topology is
less than topology 1, topology 2 and topology 4.
Figure 5. Beam patterns synthesis with different methods
The 3D radiation patterns are composed of symmetries for both azimuth and elevation cuts. Hence,
the patterns are acquired through URA. The Figure 6 indicates that no energy is radiated in reverse to back of
array in which the bandwidth and side lobe level of synthesized pattern are resulted with desired specification
and is considered as 3D pattern synthesis.

4181
Figure 6. design pattern (3D) syntehesis
The Figure 7 represents the MsP antenna over the frequency band. In this, the resistance and
reactance varyas frequency varies. This variation can be seen that the reactance value is negative before the
resonance and the same value is positive after the resonance and this reactance is considered as“series
resonance”. If impedance curve varies from positive to negative reactance and is considered as “parallel
resonance”. Both the resistance and reactance are fully different as resistance which is not depend on
frequency while reactance does. The resistance does not cause phase shift while reactance causes phase shift
of 900
among voltage and current. In Figure 7, resistance remains at positive value and reactance stays at
negative value during resonance and reaches positive after resonance.
Figure 7. Antenna performance over frequency band
The antenna reflection coefficient is shown in Figure 8 which is the relative fraction of the incident
Radio frequency (RF) power and is reflected back because of impedance mismatch. The impedance
mismatch is the difference among the antenna input impedance and the transmission line characteristic or
reference impedance. The reflection coefficient is represented as operating bandwidth of antenna. The
antenna bandwidth is the frequency band on which the magnitude of reflection coefficient < -10dB.
Figure 8. Analysis offrequency with respect to magnitude

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The active reflection coefficients analysis with four different topology are compared corresponding
to frequency are shown Figure 9, where optimal topology acquired positive value than other topology1,
topology2 and topology4.
Figure 9. Active reflection coefficient Vs frequency
The Figure 10 represents the array side lobe level for different methods. The side lobes are the far
field radiation pattern and are not considered as main lobes. The side lobe level increases with decreases in
the bandwidth. In order to get a significant array pattern, the side lobe level value must be higher. From the
Figure 10, it is found that the optimal topology, topology1, topology 2and topology 4exhibits 24.3109,
16.8963, 18.7218, and 21.0294 respectively. Thus, the optimal topology acquires lower antenna cost with
higher value of side lobe level.
Figure 10. Side lobe levels for different methods
5. CONCLUSION
This paper introduces ananalytical approach to perform the simulation of linear MsP antenna design.
The results of the design were considered with respect to beam patterns synthesis, design pattern (3D)
syntehesis, antennaperformance over frequency band, and analysis offrequency with respect to magnitude,
active reflection coefficient Vs frequency and Side lobe levels for different methods. The outcomes of the
approach allow significantly controlling both the radiation as well as reflection coefficient through the
element geometry design and identical sensor element. The analytical approach come up with minimized the
cost of antenna to low side lobe level corresponding to some EMI of array antenna.
REFERENCES
[1] C. A. Balanis, “Antenna theory,” 3rd ed., Wiley Inter science, 2005.
[2] R. J. Mailloux, “Phased array antenna handbook,” 2nd ed., Artech House, 2005.
[3] S. Koziel and S. Ogurtsov, “Antenna design using variable fidelity electromagnetic simulations,” Int. J. Applied
Electromagnetics and Mechanics, vol. 43, pp. 169-183, 2013.

4183
[4] S. Koziel, et al., “Variable-fidelity electromagnetic simulations and co-kriging for accurate modeling of antennas,”
IEEE Transactions on Antennas and Propagation, vol/issue: 61(3), pp. 1301-1308, 2013.
[5] M. M. Khodier and C. G. Christodoulou, “Linear array geometry synthesis with minimum sidelobe level and null
control using particle swarm optimization,” IEEE Trans. Antennas Prop., vol/issue: 53(8), pp. 2674-2679, 2005.
[6] F. J. A. Pena, et al., “Genetic algorithms in the design and optimization of antenna array patterns,” IEEE Trans.
Antennas Prop., vol. 47, pp. 506-510, 1999.
[7] D. W. Boeringer, et al., “A simultaneous parameter adaptation scheme for genetic algorithms with application to
phased array synthesis,” IEEE Trans. Antennas Prop., vol. 53, pp. 356-371, 2005.
[8] R. J. Kavitha and H. S. Aravinda, “Reviewing the Effectiveness of Contribution of Microstrip Antenna in the
Communication System,” Open Journal of Antennas and Propagation, vol/issue: 5(02), pp. 47, 2017.
[9] X. Tang, et al., “Design of a Wideband Circularly Polarized Strip-Helical Antenna with a Parasitic Patch,” IEEE
Access, vol. 4, pp. 7728-7735, 2016.
[10] A. A. Salih and M. S. Sharawi, “A Dual-Band Highly Miniaturized Patch Antenna,” IEEE Antennas and Wireless
Propagation Letters, vol. 15, pp. 1783-1786, 2016.
[11] J. D. Zhang, et al., “CP patch antenna with controllable polarisation over dual-frequency bands,” IET Microwaves,
Antennas & Propagation, 2016.
[12] A. Katyal and A. Basu, “Analysis and optimisation of broadband stacked MsAs using transmission line model,”
IET Microwaves, Antennas & Propagation, 2016.
[13] C. Hannachi and S. O. Tatu, “Performance comparison of 60 GHz printed patch antennas with different geometrical
shapes using miniature hybrid microwave integrated circuits technology,” IET Microwaves, Antennas &
Propagation, 2016.
[14] J. Wang, et al., “Bandwidth Enhancement of a Differential-Fed Equilateral Triangular Patch Antenna via Loading
of Shorting Posts,” IEEE Transactions on Antennas and Propagation, vol/issue: 65(1), pp. 36-43, 2017.
[15] D. E. Brocker, et al., “Miniaturized Dual-band Folded Patch Antenna with Independent Band Control Utilizing an
Interdigitated Slot Loading,” IEEE Transactions on Antennas and Propagation, 2016.
[16] H. Jin, et al., “High-gain low-cross-polarization 60-GHz LTCC patch antenna array with differential-fed and soft-
surface structures,” Microwave Conference (APMC), 2015 Asia-Pacific, vol. 1, 2015.
[17] N. N. Trong, et al., “A frequency-and pattern-reconfigurable center-shorted MsA,” IEEE Antennas and Wireless
Propagation Letters, vol. 15, pp. 1955-1958, 2016.
[18] L. Li and G. Liu, “A Differential MsAWith Filtering Response,” IEEE Antennas and Wireless Propagation Letters,
vol. 15, pp. 1983-1986, 2016.
[19] H. Yao, et al., “Patch Antenna Array for the Generation of Millimeter-Wave Hermite–Gaussian Beams,” IEEE
Antennas and Wireless Propagation Letters, vol. 15, pp. 1947-1950, 2016.
[20] A. Attaran, et al., “60 GHz Low phase error rotman lens combined with wideband MsA array using LTCC
technology,” IEEE Transactions on Antennas and Propagation, vol/issue: 64(12), pp. 5172-5180, 2016.
[21] J. D. Zhang, et al., “A Compact Microstrip-Fed Patch Antenna with Enhanced Bandwidth and Harmonic
Suppression,” IEEE Transactions on Antennas and Propagation, vol/issue: 64(12), pp. 5030-5037, 2016.
[22] H. Sun, et al., “Proximity Coupled Cavity Backed Patch Antenna for Long Range UHF RFID Tag,” IEEE
Transactions on Antennas and Propagation, vol/issue: 64(12), pp. 5446-5449, 2016.
[23] B. P. Smyth, et al., “Dual-Band Microstrip Patch Antenna Using Integrated Uniplanar Metamaterial-Based EBGs,”
IEEE Transactions on Antennas and Propagation, vol/issue: 64(12), pp. 5046-5053, 2016.
BIOGRAPHIES OF AUTHORS
Kavitha R J working as a research scholar at Visvesvaraya Technological University, Belagavi
has around 5 research papers to her credit. She has served in different organizations and has
around 16+ years of experience. She has completed her BE from Mysore University and
MTechfrom Visvesvaraya Technological University in 2008. She has been instrumental in the
process of Accreditation work.
Dr. Aravind HS, MTech, Ph.D., is a professor and head of Electronics and Communication
engineering department at JSSATE, Bengaluru.He has more than 50international/ national
papers to his credit. He has served in various organisations in different levels. He has completed
his Doctorate from Visvesvaraya Technological University and is specialized in the area of fault
tolerance, signal processing.

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