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Transcript of DBDP MSA
A
PROJECT REPORT
ON
Design of Dual Frequency and Dual Polarized
Microstrip Antenna
Submitted by
AMIT JAYANT NAIK
Roll No. MT2008310
Under the guidance of
Prof. A. B. NANDGAONKAR
In the partial fulfillment of M. Tech. in Electronics & Telecommunication
Engineering course of Dr. Babasaheb Ambedkar Technological University,
Lonere (Dist. Raigad) in the academic year 2010-2011
Department of Electronics & Telecommunication Engineering
Dr. Babasaheb Ambedkar Technological University, Lonere
Lonere-402103
2008 - 2011
A
PROJECT REPORT
ON
Design of Dual Frequency and Dual Polarized
Microstrip Antenna
Submitted by
AMIT JAYANT NAIK
Roll No. MT2008310
Under the guidance of
Prof. A. B. NANDGAONKAR
Department of Electronics & Telecommunication Engineering
Dr. Babasaheb Ambedkar Technological University, Lonere
Lonere-402103
2008 - 2011
CERTIFICATE
This is to certify that the project entitled ‘Design of Dual Frequency & Dual
Polarized Microstrip Antenna’ submitted by Mr. Amit Jayant Naik (Roll No:
MT2008310) is a record of bonafide work carried out by him under my guidance in the
partial fulfillment the requirement for the award of Degree of M. Tech. in Electronics &
Telecommunication Engineering course of Dr. Babasaheb Ambedkar Technological
University, Lonere (Dist. Raigad) in the academic year 2010-2011.
Prof. A. B. Nandgaonkar Dr. S. L. Nalbalwar
Guide Professor and Head Department of Electronics &
Telecommunication Engineering
Dr. Babasaheb Ambedkar Technological
University, Lonere – 402103
Date: December , 2010
Place : Lonere, Dist.: Raigad.
ACKNOWLEDGEMENT
Words are inadequate to express the overwhelming sense of gratitude and humble
regards to my guide supervisor Prof. A. B. Nandgaonkar of the Department of Electronics
and Communication Engineering for his constant motivation, support, expert guidance,
constant supervision and constructive suggestion for the submission of my progress report of
project work “Design of Dual Frequency & Dual Polarized Microstrip Antenna”.
I express my gratitude to Prof. Dr. S. L. Nalbalwar Professor and Head of the
Department of Electronics and Communication Engineering for his valuable suggestions and
constant encouragement all through the project work.
I also thank all the teaching and non-teaching staff for their nice cooperation to us.
This report would have been impossible if not for the perpetual moral support from
my family members, and my friends. I would like to thank them all.
Amit Jayant Naik
M. Tech Electronics & Telecommunication
Roll No. MT2008310
Project Overview
The aim of this project is to design a dual frequency and dual polarized Microstrip
antenna using single coaxial feed. The frequency bands selected for design are, UMTS-I
(1.92GHz-2.17GHz) & UMTS-II (2.5GHz - 2.69GHz). The dual band square Microstrip
antenna is operates at 1.81GHz & 2.6 GHz frequencies, with linear polarization at 1.81GHz
& circular polarization at 2.6GHz. The thesis covers three aspects of Microstrip antenna
design. The first is the introduction to Microstrip antenna. The Second part covers design of
square Microstrip antenna which operates at the central frequency of 2.6 GHz. First, the
design parameters for single element of square patch antenna have been calculated from the
transmission line model equation and then extended the antenna design to Dual Band Square
Microstrip patch antenna using the slot at the center & shorting pins. To enhance the
bandwidth at central frequency suspended Microstrip antenna technique is used. The antenna
has been modeled, designed and simulated. The simulation process has been done through
Ansoft’s HFSS 11.1v electromagnetic software which is based on Finite Element Method
(FEM). For fabrication of this Dual band & Dual polarized Microstrip antenna FR-4 substrate
is used, which is having a dielectric constant 4.4 with loss tangent of 0.02 and the substrate
height is 1.6 mm. The last part covers analysis of antenna for bandwidth, S-Parameter, axial
ratio, impedance plot. The results for fabricated antenna are found by Agilent’s network
analyzer E5062A. It has been investigated and compared between different optimization
scheme and theoretical results. Also application & conclusion has been discussed.
Contents
List of Abbreviations I
List of Figures III
List of Tables V
1. Chapter 1: Introduction to Antennas 1 - 18
1.1 Antenna Types 2
1.2 Antenna Fundamentals 4
1.2.1 Antenna Definition 4
1.2.2 Antenna Radiation 4
1.2.3 Radiation Pattern 6
1.2.4 Directivity 6
1.2.5 Reflection Coefficient 7
1.2.6 Voltage Standing Wave Ratio (VSWR) 7
1.2.7 Antenna Gain 8
1.2.8 Polarization 8
1.2.9 Bandwidth 17
1.2.10 Reciprocity 17
2. Chapter 2: Microstrip Patch Antenna 19 – 31
2.1 Introduction 19
2.2 Radiation Mechanism of Microstrip Antenna 20
2.3 Methods of Analysis 22
2.3.1 Transmission Line Model 22
2.3.2 Cavity Model 23
2.4 Feeding Techniques 26
2.4.1 Microstrip Line Feed 26
2.4.2 Coaxial Feed 27
2.4.3 Aperture Coupled Feed 27
2.4.4 Proximity Coupled Feed 28
2.4.5 Coplanar Waveguide Feed 29
2.5 Advantages and Disadvantages 30
2.6 Surface Waves 31
3. Chapter 3: Parametric Study of Microstrip Antenna 32 – 36
3.1 Techniques to Increase Bandwidth 32
3.2 Techniques to Achieve Dual Frequency Operation 33
3.3 Techniques to Achieve Circular Polarization 34
4. Chapter 4: Design of Microstrip Antenna 37 - 41
4.1 Design Parameters 37
4.2 Calculation 37
5. Chapter 5: Results & Discussion 42 – 51
5.1 Return Loss 42
5.2 VSWR 44
5.3 Frequency vs. Gain 45
5.4 Axial ratio vs. Frequency 47
5.5 Smith Chart 48
6. Chapter 6: Conclusion & Future Scope 52
References 53
Project report on Design of Dual Frequency and Dual Polarized Microstrip Antenna
Dr. Babsaheb Ambedkar Technological University, Lonere
Department of Electronics & Telecommunication Engineering I
List of Abbreviations
IEEE Institute of Electrical & Electronics Engineers
FEM Finite Element Method
HF High Frequency
HFSS High Frequency Structure Simulator
DBDP Dual Band and Dual Polarized
UMTS Universal Mobile Telecommunication Systems
MSA Microstrip Antenna
RL Return Loss
HPBW Half Power Beam Width
dBi Gain of an antenna in decibel compared with isotropic antenna
dB Decibel
VSWR Voltage Standing Wave Ratio
AR Axial ratio
CW Clockwise
CCW Counter clockwise
CP Circular Polarization
LHCP Left Handed Circular Polarization
RHCP Right Handed Circular Polarization
2D 2- Dimensional
3D 3- Dimensional
MNM Multi-port network model
MoM Method of moments
FDTD Finite-difference time domain
Project report on Design of Dual Frequency and Dual Polarized Microstrip Antenna
Dr. Babsaheb Ambedkar Technological University, Lonere
Department of Electronics & Telecommunication Engineering II
SDT Spatial domain technique
RF Radio frequency
TM Transverse Magnetic
MICs Microwave Integrated Circuits
Q Quality Factor
GHz Giga Hertz
MHz Mega Hertz
εr Dielectric constant
εreff Effective dielectric constant
h Height of the substrate
fr Resonant frequency
W Width of the patch
L Length of the patch
c Velocity of light
g Height above ground plane
Lg Length of ground plane
Wg Width of ground plane
Project report on Design of Dual Frequency and Dual Polarized Microstrip Antenna
Dr. Babsaheb Ambedkar Technological University, Lonere
Department of Electronics & Telecommunication Engineering III
List of Figures
Figure
no.
Name of figure Page
no.
1.1 Transmission system 1
1.2. Dipole antenna 2
1.3 Rectangular horn antenna 2
1.4 Parabolic reflector with front end 2
1.5 Lens antennas 3
1.6 Microstrip patch antenna 3
1.7 Microstrip patch antenna array 4
1.8 Free-space wave generation 5
1.9 Only accelerating charges produce radiation 5
1.10 Radiation pattern of directional antenna 6
1.11 Polarization schemes
8
1.12 Linear polarization
9
1.13 Wave propagation in Z-direction
9
1.14 Elliptical polarization
10
1.15 Circular polarization 10
1.16 Elliptical polarization 11
1.17 Linear polarized wave at 450 14
1.18 Rotation of electric field around axis 15
1.19 3D view for circular polarization 16
1.20 Reciprocity theorem 17
2.1 Various shapes for patch. 19
2.2 Operation of Microstrip antenna 20
Project report on Design of Dual Frequency and Dual Polarized Microstrip Antenna
Dr. Babsaheb Ambedkar Technological University, Lonere
Department of Electronics & Telecommunication Engineering IV
2.3 Radiation from the patch 21
2.4 Electric field lines 22
2.5 Distribution of electric field lines 23
2.6 Charge distribution & current density creation on the patch 24
2.7 Microstrip line feed 26
2.8 Coaxial feed 27
2.9 Aperture coupled feed 28
2.10 Proximity-coupled Feed 29
2.11 Coplanar waveguide Feed 29
3.1 Various single fed circularly polarized patch antennas 34
3.2 Responses of diagonally fed nearly square MSA for different L1/L2 35
3.3 Dual feed circularly polarized patch with power divider & 900 hybrid 36
4.1 Top view & side view for MSA from HFSS 40
4.2 Top view for fabricated DBDP MSA 41
4.3 Side view for fabricated DBDP MSA 41
5.1 Experimental set up for testing of antenna 42
5.2 Experimental & simulated results for return loss 43
5.3 Experimental & simulated results for VSWR 45
5.4 Simulated result for Frequency vs. Gain 46
5.5 Simulated gain pattern for frequency 2.61GHz 47
5.6 Simulated gain pattern for frequency 1.81GHz 48
5.7 Simulation result for frequency vs. axial ratio 49
5.8 Simulated radiation pattern for frequency 2.61GHz 50
5.9 Simulation result for smith chart 51
Project report on Design of Dual Frequency and Dual Polarized Microstrip Antenna
Dr. Babsaheb Ambedkar Technological University, Lonere
Department of Electronics & Telecommunication Engineering V
List of Tables
Table
no.
Name Page
no.
1.1 Polarization of wave 15
4.1 Parameters for design of antenna 39
Project report on Design of Dual Frequency and Dual Polarized Microstrip Antenna
Dr. Babsaheb Ambedkar Technological University, Lonere
Department of Electronics & Telecommunication Engineering 1
Chapter 1
Introduction to Antennas
The term Antenna in zoology refers to feeler i.e. part of insects or organ for touch [1].
In Radio sense it is a metallic device used to send or receive radio waves so it is also called as
aerial or radiator. An antenna is defined by Webster’s Dictionary as “a usually metallic
device for radiating or receiving radio waves.” i.e. any metallic body can act as an antenna. It
just differs on either radiating or receiving [3].
The IEEE Standard Definitions of terms for Antennas (IEEE Std 145–1983) defines
the antenna or aerial as “a means for radiating or receiving radio waves” [3]. In other words
the antenna is the transitional structure between free-space and a guiding device, Antenna is
used as an impedance matching device between free-space has impedance of 120Π with that
of source cable or waveguide having impedance of 50Ω.
Figure.1.1. Transmission system
If the impedance of transmission line (cable) is matched with antenna maximum
power will be delivered from source to antenna or can be received from the antenna. If the
impedance is not matched with that of antenna a standing wave pattern is appeared on the
transmission line which out of phase with that of incident wave leading to considerable
energy loss in the signal, as shown in Figure 1.1. So, instead of guiding element antenna will
act as storage element. This loss can also be avoided either by using infinite length
transmission line. Antenna in advanced receiver and transmitter wireless system is used to
concentrate or to catch electromagnetic waves & to suppress it in other direction.
Project report on Design of Dual Frequency and Dual Polarized Microstrip Antenna
Dr. Babsaheb Ambedkar Technological University, Lonere
Department of Electronics & Telecommunication Engineering 2
1.1 Antenna Types [3]:-
Antennas are categorized as:
1) Wire antennas:- These antennas can be found everywhere & they can have any
shape such as straight (e.g. Dipole), circular, helix, loop (either rectangular, square
or ellipse) .
Figure.1.2. Dipole antenna
2) Aperture Antennas:- These antennas are used for HF application & they are
having conical, pyramidal structures. e.g. Horn antennas (Pyramidal horn or
Conical horn or rectangular waveguide).
Figure.1.3. Rectangular horn antenna
3) Reflector Antennas:- When there is a need to communicate over millions of miles
long distance these antennas are preferred. Antennas of this type can have
diameter of around 305 meters, such high diameter are used to achieve high gain.
e.g. Parabolic reflector (Dish antennas) & Corner reflector.
Figure.1.4. Parabolic reflector with front end
Project report on Design of Dual Frequency and Dual Polarized Microstrip Antenna
Dr. Babsaheb Ambedkar Technological University, Lonere
Department of Electronics & Telecommunication Engineering 3
4) Lens Antennas:- These antennas are used to concentrate incident divergent energy
to prevent it from spreading in undesired directions. They transform various type
of divergent energy into plane waves.
Figure.1.5. Lens antennas
5) Microstrip Antennas:- This type of antennas are very much popular from 1970’s
due to their small size, ease in fabrication, low profile, easily attached to planar &
non-planar surfaces, simple, inexpensive & mechanically robust. It is consist of a
metallic patch on a grounded substrate. The metallic patch can take any shape
such as rectangular, triangular, square or circular. These antennas are also
versatile in terms of resonant frequency, polarization, radiation pattern &
impedance bandwidth.
Figure.1.6. Microstrip patch antenna
Project report on Design of Dual Frequency and Dual Polarized Microstrip Antenna
Dr. Babsaheb Ambedkar Technological University, Lonere
Department of Electronics & Telecommunication Engineering 4
6) Array antennas:- In many applications radiation energy required is not achievable
using single element. So this antenna uses multiple elements in definite pattern
leads to increase in radiation energy. This increase in radiation energy is due to
the addition of radiation energy from individual element.
Figure.1.7. Microstrip patch antenna array
In Microstrip array antennas different diversities are used,
a) Spatial diversity:- It means MSA elements are separated by their position
in the array.
b) Polarization diversity:- It means MSA elements are separated by using
different polarization schemes to avoid cross-polarization or distortion.
c) Beam diversity:- In any given direction antennas have different gains. This
results in a different weighting of multipath components of the desired
signal being delivered by each antenna.
1.2 Antenna Fundamentals:
1.2.1. Antenna Definition:-
An antenna is basically a transducer that converts electrical alternating current
oscillations at a radio frequency to an electromagnetic wave of the same frequency or vice
versa..
1.2.2. Antenna Radiation:-
When a sinusoidal voltage source is applied across a transmission line the electric
field is created between two conductors which in turn provides magnetic field. Due to time
varying electric and magnetic fields electromagnetic waves are created and travel through the
transmission line to the antenna and radiate in free space.
Project report on Design of Dual Frequency and Dual Polarized Microstrip Antenna
Dr. Babsaheb Ambedkar Technological University, Lonere
Department of Electronics & Telecommunication Engineering 5
Figure.1.8. Free-space wave generation
Radiation mechanism: To create radiation there must be time varying current i.e.
acceleration or deceleration of charge & to create acceleration or deceleration of charge a
wire must be bent, curved, discontinuous or terminated. A group of charges in uniform
motion or stationary do not produce radiation as in figure1.9.1. In figure.1.9.2 – 1.9.4,
however, radiation does occur, because the velocity of the charges is changing in time. In
figure 1.9.2 the charges are reaching the end of the wire and reversing direction, producing
radiation. In figure 1.9.3 the speed of the charges remains constant, but their direction is
changing, thereby creating radiation. Finally, in figure 1.9.4, the charges are oscillating in
periodic motion, causing a continuous stream of radiation. This is the practical case, where
the periodic motion is excited by a sinusoidal transmitter. Antennas can therefore be seen as
devices which cause charges to be accelerated in ways which produce radiation with desired
characteristics.
Figure.1.9. Only accelerating charges produce radiation
Project report on Design of Dual Frequency and Dual Polarized Microstrip Antenna
Dr. Babsaheb Ambedkar Technological University, Lonere
Department of Electronics & Telecommunication Engineering 6
Also rapid changes in direction of structures which are designed to guide waves may
produce undesired radiation.
1.2.3. Radiation Pattern:-
It is defined as radiation pattern is the representation of graph which describes the
radiation properties of antenna as a function of space coordinate. Radiation pattern are
described with reference to isotropic antenna. Plot of directional antenna is shown in figure
1.10; typically directional antenna has a more power in particular direction as compared to
isotropic antenna.
Figure.1.10. Radiation pattern of directional antenna
Half power beamwidth (HPBW):- In a plane containing the direction of maximum of
beam, the angle between two directions in which the radiation intensity is one half
value of beam.
Main lobe:- Lobe having maximum radiation in particular direction.
Side lobe:- Lobes other than main lobe is called side lobe. These lobes are unwanted
and degrade the antenna performance.
Back lobe:- This is the minor lobe which is in opposite direction of main lobe.
Front-back ratio:- It is the ratio between the peak amplitudes of the main and back
lobes, usually expressed in decibels.
1.2.4. Directivity (D):-
The directivity (D) of an antenna, a function of direction, is defined as measure of a
maximum power density radiated by the practical antenna relative to the power density
radiated by an ideal isotropic antenna
Project report on Design of Dual Frequency and Dual Polarized Microstrip Antenna
Dr. Babsaheb Ambedkar Technological University, Lonere
Department of Electronics & Telecommunication Engineering 7
antenna isotropic ideal ofintensity Radiation
φ),(direction in antenna ofintensity Radiation D
Directivity of antenna is generally expressed in dBi. Where dBi is a logarithmic unit
relative to the gain of an isotropic antenna. Antenna having a narrow main lobe would have
better directivity.
1.2.5. Reflection Coefficient:-
As shown in figure 1.1, if a transmission line is not terminated properly a reflected
wave get produced. This wave will be in out of phase to that of incident wave and forms
standing wave structure. Reflection coefficient is the measure of how much energy is lost, as
it is the ratio of reflected wave’s peak voltage to the incident wave’s peak voltage. It is
represented by Γ.
Poweror oltageIncident v
Poweror voltageReflectedΓ
0L
0L
ZZ
Z-Z
The reflection coefficient of a line in impedance terms as the ratio of the power
reflected back from the line to the power transmitted into the line. As given in the second
equation is the load impedance and is characteristic impedance of the transmission line.
The value for reflection coefficient lies in the range from 0 to +1. Γ = 0 means load is said to
be matched to the line & there is no reflection of the incident wave. If the antenna is
mismatched, then, not all the available power from the transmission line is delivered to the
antenna. This loss is called Return Loss and is defined as
(dB) log 20- lossReturn
For maximum power transfer the return loss should be as large number as possible.
1.2.6. Voltage Standing Wave Ratio (VSWR):-
A standing wave in a transmission line is a wave in which the distribution of current,
voltage or field strength is formed by the superimposition of two waves of same frequency
propagating in opposite direction. Then the voltage along the line produces a series of nodes
and antinodes at fixed positions.
-1
+1=
V
V=VSWR
min
max
Project report on Design of Dual Frequency and Dual Polarized Microstrip Antenna
Dr. Babsaheb Ambedkar Technological University, Lonere
Department of Electronics & Telecommunication Engineering 8
The value of VSWR should be between 1 and 2 for efficient performance of an antenna.
1.2.7. Antenna Gain:-
Gain of antenna is product of efficiency and directivity when efficiency is 100% then
gain is equal to directivity. When direction is not stated power gain is normally taken in
direction of maximum radiation.
Gain is given by,
G = η × D (dBi)
1.2.8. Polarization [1]:-
Polarization of uniform wave means the time varying behavior of the electric field
intensity vector at some fixed point in space. It is also defined as the property of an
electromagnetic wave describing the time varying direction and relative magnitude of the
electric filed vector. The direction or position of the electric field with respect to the ground
gives the wave polarization.
The common types of the polarization are circular and linear. The linear includes
horizontal and vertical and the circular polarization includes right hand polarization and left
hand polarization.
It is said to be linearly polarized when the path of the electric field vector is back and
forth along the line.
Figure.1.11. Polarization schemes
It can be seen that the circular polarization has the electric field vector’s length
constant but rotates in a circular path.
Project report on Design of Dual Frequency and Dual Polarized Microstrip Antenna
Dr. Babsaheb Ambedkar Technological University, Lonere
Department of Electronics & Telecommunication Engineering 9
As this thesis is about circular polarization we concentrate on it, in detail. Now, to
understand wave polarization; consider a wave is travelling in Z-direction.
Figure.1.12. Linear polarization
In linear polarization the electric field vector always remain in one direction i.e. Y-
direction as shown above figure or in linear polarization the electric field vector always varies
with only one direction (Y-direction) & propagates in other (Z-direction).
Figure.1.13. Wave propagation in Z-direction
δβz-ωtsin EE 2y
In general, if a wave is progressing in positive direction may have both x & y
components, then this wave termed as “Elliptically Polarized”.
Project report on Design of Dual Frequency and Dual Polarized Microstrip Antenna
Dr. Babsaheb Ambedkar Technological University, Lonere
Department of Electronics & Telecommunication Engineering 10
Figure.1.14. Elliptical polarization
At fixed value z, the electric field vector E rotates as a function of time. This is also
called as “Polarization Ellipse” as in figure 1.14.
Axial ratio:- It’s the most basic term used to understand polarization or used simply to
differentiate linear from circular & can be defined as ratio of major axis to minor axis in
polarization ellipse.
axisMinor
axisMajor
E
E(AR) ratio Axial
1
2
For linear polarization,
E1 = 0,
0
1 AR
Figure.1.15. Circular polarization
Project report on Design of Dual Frequency and Dual Polarized Microstrip Antenna
Dr. Babsaheb Ambedkar Technological University, Lonere
Department of Electronics & Telecommunication Engineering 11
And, for circular polarization,
E1 = E2;
So, AR = 1.
It is a special case of elliptical polarization as can be seen from figure 1.15 both
electric field vectors are having same magnitude so it forms a circle. Also axial ratio will be
1.
In elliptical polarization the polarization may assume any orientation. Elliptical
polarized wave is a combination or resultant of two linearly polarized waves of same
frequency.
Figure.1.16. Elliptical polarization [3]
Let,
Ex = Electric field component of horizontally polarized wave & E1 is maximum amplitude of
it.
Ey = Electric field component of vertically polarized wave & E2 is maximum amplitude of it.
So,
.....(1) βz-ωtsin EE 1x
.....(2) δβz-ωtsin EE 2y
Where E1 & E2 are amplitudes of x & y . δ is the phase angle by which Ey leads Ex.
.....(3) EaEaE yyxx
Project report on Design of Dual Frequency and Dual Polarized Microstrip Antenna
Dr. Babsaheb Ambedkar Technological University, Lonere
Department of Electronics & Telecommunication Engineering 12
From equation 1 & 2
δ)βztsin( Eaβzωtsin EaE 2y1x
Consider the wave is at initial point where Z = 0, above equation becomes
δ)tsin( Eaωtsin EaE 2y1x
Substituting Z = 0 in equation 1 & 2 we get
1
x1x
E
Eωtsin ωtsin EE
δωtsin EE 2y
δωt δ ωt EE y sincoscossin2
Now,
ωt sin - 1 ωt cos 2
E
E - 1 ωt cos
2
1
x
So,
sinδ E
E - 1 cosδ
E
E
E
E2
1
x
1
x
2
y
sinδ E
E - 1 cosδ
E
E
E
E2
1
x
1
x
2
y
Sqauring both sides we get,
δsin E
E - 1 cosδ
E
E
E
E2
2
1
x
2
1
x
2
y
Project report on Design of Dual Frequency and Dual Polarized Microstrip Antenna
Dr. Babsaheb Ambedkar Technological University, Lonere
Department of Electronics & Telecommunication Engineering 13
δsinE
E - δsin cosδ
E
E cosδ
E E
E E 2 -
E
E2
2
1
x2
2
1
x
21
yx
2
2
y
cosδE
E δsin
E
E - δsin cosδ
E E
E E 2 -
E
E2
1
x2
2
1
x2
21
yx
2
2
y
1δcos δsin δ.....(4)sin E
E cosδ
E E
E E 2 -
E
E 222
2
1
x
21
yx
2
2
y
1 sinδ E
E cosδ
δsinE E
E E 2 -
sinδ E
E2
1
x
2
21
yx
2
2
y
1E cEE bE a2
yyx
2
x
Where, δsin E
1c ;
δsinE E
cosδ 2 b ;
δsin E
1a
22
1
2
2122
2
For polarization, Axial ratio must be in the range
AR 1
Case I:- Let Ey be in phase or 1800 out of phase with Ex, then δ = KA
K = 0, 1, 2, 3….
So equation 4 becomes,
1- πcos 1, 0 cos
0 sin π 0sin 0
E
E
E E
E E 2
E
E2
1
x
21
yx
2
2
y
0 E
E
E
E2
1
x
2
y
....(i)E E
E E x
1
2y
This is the equation of straight line with slope E2/E1.
Therefore, when two linearly polarized waves are in phase or out of phase, the
resultant wave will be a linearly polarized wave. Now, if E1 = 0, the wave will be polarized in
Project report on Design of Dual Frequency and Dual Polarized Microstrip Antenna
Dr. Babsaheb Ambedkar Technological University, Lonere
Department of Electronics & Telecommunication Engineering 14
Y-direction & when E2 = 0 the wave is polarized in X-direction & if E1 = E2 & δ = 0, the
resultant wave is still linearly polarized but at 450 as shown in figure 1.17.
Figure.1.17. Linear polarized wave at 450
Case II:- Let E1 = E2 & δ = ± 900
So equation 4 becomes,
0 90cos 1, 90sin 1 E
E
E
E2
1
x
2
2
y
Since, E1 = E2
2
1
2
y
2
x E EE
2
2
2
y
2
x E EE
These are the equations of circle. Therefore, when two linearly polarized waves of
equal magnitude but with phase difference of 900 produces a circularly polarized wave.
So, E1 = E2 & δ = ± 900
the wave is circularly polarized wave.
If, δ = 900, the wave is said to be Left circularly polarized.
δ = - 900, the wave is said to be Right circularly polarized.
From equation 3 we have
yyxx EaEaE
Project report on Design of Dual Frequency and Dual Polarized Microstrip Antenna
Dr. Babsaheb Ambedkar Technological University, Lonere
Department of Electronics & Telecommunication Engineering 15
δ)βztsin( Eaβzωtsin EaE 2y1x
Figure.1.18. Rotation of electric field around axis
Thus, when δ = 900 & Z = 0 & ωt = 0.
yyEaE
After one cycle, Z = 0 & ωt = 900
xxEaE
At fixed point electric field vector rotates in clockwise direction (As seen wave
approaching) this is called as Left circular polarization. Also when δ = - 900 corresponds to
right circular polarization.
So to conclude if a wave is viewed from receding end then, the clockwise rotation
(CW) of electric field vector is described as right handed polarization & counter clockwise
(CCW) rotation of electric field vector is described as left handed polarization.
i.e. when E1 = E2 & wave viewed from receding end (From negative Z-direction)
Table.1.1 Polarization of wave
δ Rotation of wave Circular Polarization
+900 Clockwise Right Handed [RHCP]
- 900 Counter clockwise Left Handed [LHCP]
A wave to be said as linearly or circularly polarized the phase differences between
two electric field vectors must be,
y2x1 a tz,Ea t)(z,Etz,E
Project report on Design of Dual Frequency and Dual Polarized Microstrip Antenna
Dr. Babsaheb Ambedkar Technological University, Lonere
Department of Electronics & Telecommunication Engineering 16
x11 δ βz ωt cos E t)(z,E
y22 δ βz ωt cos E t)(z, E
Now, for Linear polarization the phase difference
0,1,2,3..n here Wnπδδ δ xy
So, the phase difference for linear polarization should be multiple of Π or 1800 or
3600…
For Circular polarization
This can be achieved when magnitudes of two components must be same & phase
difference between them should be odd multiples of Π/2.
21 EE
.0,1,2,3...n e Wher
CCWfor π2n2
1-
CWfor π2n2
1
δδ δ xy
Figure.1.19. 3D view for circular polarization
As the wave progress in positive Z-direction the combination of two electric field
vectors Ex & Ey produces a circularly polarized wave that can be clearly seen in 3D view in
above figure. Circular polarization is used where rotational or moving behavior of transmitter
& receiver are required. The circular polarization wave reverses its sense of rotation from
Project report on Design of Dual Frequency and Dual Polarized Microstrip Antenna
Dr. Babsaheb Ambedkar Technological University, Lonere
Department of Electronics & Telecommunication Engineering 17
right to left or vice-versa after reflection. So it may cause interference in receiver system due
to the reception of direct path signal & reflected signal. In practical applications it is
admirable to achieve 3-6dB axial ratio bandwidth.
Where as in linear polarization the receiver having weak reception only when
transmitter & receiver are orthogonal to each other.
1.2.9 Bandwidth:-
Bandwidth can be said as the frequencies on both the sides of the centre frequency in
which the characteristics of antenna such as the input impedance, polarization, beam width,
radiation pattern etc are almost close to that of this value. As the definition suggest, the range
of suitable frequencies within which the performance of the antenna, with respect to some
characteristic, conforms to a specific standard.
The bandwidth is the ratio of the upper and lower frequencies of an operation.
L
H
f
f )(BroadbandBandwidth
(%) 100 f
ff d)(NarrowbanBandwidth
C
LH
If L
H
f
f ≥ 2 then, we can easily say it’s a broadband antenna.
1.2.10 Reciprocity:-
In order to study antennas behavior in receiving mode, it can be stated using the
reciprocity theorem.
Figure.1.20. Reciprocity theorem
The thermo is illustrated in figure 1.20 and it states If a voltage is applied to the
Project report on Design of Dual Frequency and Dual Polarized Microstrip Antenna
Dr. Babsaheb Ambedkar Technological University, Lonere
Department of Electronics & Telecommunication Engineering 18
terminals of an antenna A and the current measured at the terminals of another antenna B
then an equal current will be obtained at the terminals of antenna A if the same voltage is
applied to the terminals of antenna B.
Thus, in figure 1.20, if Va = Vb then the reciprocity theorem states that Ia = Ib and
can be extended to show that Va / Ia = Vb / Ib. But a consequence of this theorem is that the
antenna gain must be the same whether used for receiving or transmitting. The reciprocity
theorem holds for any linear time-invariant medium. The reciprocity theorem does not state
that the current distribution on the two antennas will be the same when receiving or
transmitting, or the way in which the field changes with respect to time or space at the two
antennas will be the same.
Project report on Design of Dual Frequency and Dual Polarized Microstrip Antenna
Dr. Babsaheb Ambedkar Technological University, Lonere
Department of Electronics & Telecommunication Engineering 19
Chapter 2
Microstrip Patch Antenna
In 1953, Deschamps first proposed the concept of printed Microstrip patch antenna.
But later it takes around two decades to develop a practical Microstrip antenna. It was
designed in 1970s by Munson & Howell. In the last few years printed antennas have been
largely studied due to their advantages over other radiating systems in applications such as
aircraft, spacecraft, satellite and missiles, where size, weight, cost, performance, ease of
installation and aerodynamic profile are major constraint.
2.1 Introduction:-
In simplest form of Microstrip antenna, a dielectric substrate is sandwiched between
ground plane and a conducting patch, as shown in figure 1.6. The patch is generally made of
conducting material such as copper or gold and can take any possible shape such rectangular,
triangular, square, circular etc. Most basic shape for the patch is rectangular type. Various
patch types are shown in figure 2.1.
Figure.2.1. Various shapes for patch.
Microstrip patch antennas radiate primarily because of the fringing fields between the
patch edge and the ground plane. For good antenna performance, a thick dielectric substrate
having a low dielectric constant is desirable since this provides better efficiency, larger
bandwidth and better radiation. However, such a configuration leads to a larger antenna size.
In order to design a compact Microstrip patch antenna, substrates with higher dielectric
constants must be used which are less efficient and result in narrower bandwidth. Hence a
trade-off must be realized between the antenna dimensions and antenna performance. Also
increasing the height of substrate introduces surface waves which are undesirable. Surface
Project report on Design of Dual Frequency and Dual Polarized Microstrip Antenna
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Department of Electronics & Telecommunication Engineering 20
waves travel within the substrate and scattered on the edges of patch which causes poor
polarization & radiation pattern called the firing effect.
2.2 Radiation Mechanism of Microstrip Antenna [2]:-
Microstrip antennas radiate primarily because of the fringing fields between the patch
edge and the ground plane. The patch length is approximately half the wavelength (λ/2) in
conventional Microstrip patches to generate fundamental TM10 mode.
reffε
λλ
Where λ0 is the free space wavelength & is the effective dielectric constant which can be
found by following equation,
0.5
rrreff
w
12h1
2
1ε
2
1εε
The value of is slightly less than because the fringing fields around the
periphery of the patch are not confined in the dielectric substrate but are also spread in the air
as in figure 2.2. Also the figure shows that if there are no variations of electric field along the
width and the thickness of the patch, then the electric field configuration along the length.
Figure.2.2. Operation of Microstrip antenna
If the fringing fields are resolved into its parallel and tangential components with
respect to the ground plane, the normal components will be out of phase with each other and
would cancel out each other. The tangential components are in phase with each other
therefore the resulting tangential field components would combine to give maximum radiated
field in a direction normal to the patch i.e., the broadside direction.
Project report on Design of Dual Frequency and Dual Polarized Microstrip Antenna
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Department of Electronics & Telecommunication Engineering 21
Figure.2.3. Radiation from the patch
The main challenge in the design for patch of Microstrip antennas is with loosely
bound fields extending into space while keeping the fields tightly bound to the feeding
circuitry. This has to be accomplished with high radiation efficiency and with the desired
polarization, impedance and bandwidth. The patch is usually operated near resonance in order
to obtain real-valued input impedance. If the substrate parameters are specified, there are
three design parameters; the patch length, the patch width and the feed point that controls the
resonant frequency and the resonant resistance. The parameters can be easily acquired by
analyzing the Microstrip antenna. The preferred models for the analysis of Microstrip patch
antennas are the transmission line model, cavity model, and full wave model.
Methods for analysis of Microstrip antenna are as follows:
As Microstrip antennas patch is a 2D component, therefore they may be categorized
as 2D planar component for analysis.
1. First group:- These methods are based on measure of equivalent magnetic current
distribution around patch edges. They are as follows
a. Transmission line model
b. Cavity model
c. Multi-port network model (MNM)
2. Second group:- These methods are based on measure of electric current distribution
on the patch and the ground plane. They are as follows
a. Method of moments (MoM)
b. Finite element method (FEM)
c. Finite-difference time domain (FDTD) method
Project report on Design of Dual Frequency and Dual Polarized Microstrip Antenna
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Department of Electronics & Telecommunication Engineering 22
d. Spatial domain technique (SDT)
The transmission line model is the simplest of all and it gives good physical insight
but it is less accurate. The cavity model is more accurate and gives good physical insight but
is complex in nature. The full wave models are extremely accurate, versatile and can treat
single elements, finite and infinite arrays, stacked elements, arbitrary shaped elements and
coupling.
2.3 Methods of Analysis:-
2.3.1Transmission Line Model:-
In this model a fringe effect is created at the edges of the patch which cause radiation
from the patch. Fringe is an effect which is situated on the edge or away from the centre of
something. Fringing effect is also explained as the amount of fringing is a function of the
dimensions of the patch and height of the substrate. Due to limitation of patch dimensions,
fields at the edges of patch produce fringing effect. For principle of E-Plane fringe effect is
the function of the ratio of the length of the patch L to the height h of the substrate (L/h) and
of substrate.
Figure.2.4. Electric field lines
In figure 2.4 typical electrical fields lines are situated within the substrate and some in
air. The electric field distribution at the centre is zero and maximum to positive on one side
and max to the negative on the opposite side. For an applied signal it has to see to it that the
maximum and minimum change continuously are maintained according to the instantaneous
phase.
Project report on Design of Dual Frequency and Dual Polarized Microstrip Antenna
Dr. Babsaheb Ambedkar Technological University, Lonere
Department of Electronics & Telecommunication Engineering 23
Figure.2.5. Distribution of electric field lines
The fundamental TM10 mode implies that the field varies one half cycle along the
length, and there is no variation along the width of the patch. Along the width of the patch,
the voltage is maximum and current is minimum due to the open end. It can be observed from
figure 2.5 that the vertical components of the electric field (E-field) at the two edges along
the width are in opposite directions and hence cancel one another in the broadside direction,
whereas the horizontal components are in same direction and hence combine in the broadside
direction. Therefore, the edges along the width are termed as radiating edges. The fields due
to the sinusoidal distribution along the length cancel in the broadside direction, and hence the
edges along the length are known as non-radiating edges. So the Microstrip antenna operating
at TM10 mode can be visualized as a transmission line, because the field is uniform along the
width and varies sinusoidally along the length.
2.3.2 Cavity Model:-
Although the transmission line model discussed in the previous section is easy to use,
it has some inherent disadvantages. Specifically, it is useful for patches of rectangular design
and it ignores field variations along the radiating edges. These disadvantages can be
overcome by using the cavity model. A brief overview of this model is given below.
In this model, the interior region of the dielectric substrate is modeled as a cavity
bounded by electric walls on the top and bottom. The basis for this assumption is the
following observations for thin substrates (h << λ).
• Since the substrate is thin, the fields in the interior region do not vary much in the z
direction, i.e. normal to the patch.
• The electric field is z directed only, and the magnetic field has only the transverse
components Hx and Hy in the region bounded by the patch metallization and the
ground plane. This observation provides for the electric walls at the top and the
bottom.
Project report on Design of Dual Frequency and Dual Polarized Microstrip Antenna
Dr. Babsaheb Ambedkar Technological University, Lonere
Department of Electronics & Telecommunication Engineering 24
Figure.2.6. Charge distribution & current density creation on the patch
Consider Figure 2.6 shown above. When the Microstrip patch is provided power, a
charge distribution is seen on the upper and lower surfaces of the patch and at the bottom of
the ground plane. This charge distribution is controlled by two mechanisms-an attractive
mechanism and a repulsive mechanism.
The attractive mechanism is between the opposite charges on the bottom side of the
patch and the ground plane, which helps in keeping the charge concentration intact at the
bottom of the patch. The repulsive mechanism is between the like charges on the bottom
surface of the patch, which causes pushing of some charges from the bottom, to the top of the
patch. As a result of this charge movement, currents flow at the top and bottom surface of the
patch. The cavity model assumes that the height to width ratio (h/W) is very small and as a
result of this the attractive mechanism dominates and causes most of the charge concentration
and the current to be below the patch surface. Much less current would flow on the top
surface of the patch and as the height to width ratio further decreases, the current on the top
surface of the patch would be almost equal to zero, which would not allow the creation of any
tangential magnetic field components to the patch edges. Hence, the four sidewalls could be
modeled as perfectly magnetic conducting surfaces. This implies that the magnetic fields and
the electric field distribution beneath the patch would not be disturbed. However, in practice,
a finite width to height ratio would be there and this would not make the tangential magnetic
fields to be completely zero, but they being very small, the side walls could be approximated
to be perfectly magnetic conducting.
Since the walls of the cavity, as well as the material within it are lossless, the cavity
would not radiate and its input impedance would be purely reactive. Hence, in order to
account for radiation and a loss mechanism, one must introduce a radiation resistance RR and
Project report on Design of Dual Frequency and Dual Polarized Microstrip Antenna
Dr. Babsaheb Ambedkar Technological University, Lonere
Department of Electronics & Telecommunication Engineering 25
a loss resistance RL. A lossy cavity would now represent an antenna and the loss is taken into
account by the effective loss tangent δeff which is given as:
T
effQ
1δ
Where QT is the total antenna factor & can be expressed as;
rcdT Q
1
Q
1
Q
1
Q
1
Qd represents quality factor of dielectric material & is given as;
tanδ
1
P
WωQ
d
Trd
Where, is the angular resonant frequency.
is the total energy stored in the patch at resonance
is the dielectric loss
is the loss tangent of dielectric substrate
Qc represents quality factor of conductor & is given as
Δ
h
P
WωQ
c
Trc
Where, Pc is conductor loss
Δ is the skin depth of the conductor
h is the height of the substrate
Qr represents quality factor of radiation & is given as;
r
Trr
P
WωQ
Where, Pr is the power radiated from the patch.
Tr
reff
Wω
P
h
Δtanδδ
The above equation gives the total effective loss tangent for the Microstrip patch antenna.
The cavity model method is applicable to antenna in which ground plane & patch
having same dimensions. To overcome this drawback an extension of cavity model, a Multi-
port network model (MNM) is used. In this model the area except patch is considered as
Project report on Design of Dual Frequency and Dual Polarized Microstrip Antenna
Dr. Babsaheb Ambedkar Technological University, Lonere
Department of Electronics & Telecommunication Engineering 26
combination of multiple numbers of ports. So the resistant for individual port is calculated &
combined with cavity model to find total radiation pattern.
2.4 Feeding Techniques [3]:-
Microstrip patch antennas can be fed by a variety of methods. These methods can be
classified into two categories- Direct /Contacting and Indirect/ Non-contacting method. In the
direct method, the RF power is fed directly to the radiating patch using a connecting element
such as a Microstrip line. In indirect scheme, electromagnetic field coupling is done to
transfer power between the Microstrip line and the radiating patch.
1. Direct feeding schemes:-
a) Microstrip line feed
b) Coaxial/ Probe feed
2. Indirect feeding schemes:-
a. Electromagnetic coupling /Proximity coupling
b. Aperture coupling
c. Coplanar waveguide
2.4.1 Microstrip Line Feed:-
In this type of feed technique, a conducting strip is connected directly to the edge of
the Microstrip patch as shown in figure 2.7. The conducting strip is smaller in width as
compared to the patch and this kind of feed arrangement has the advantage that the feed can
be etched on the same substrate to provide a planar structure.
Figure.2.7. Microstrip line feed
The purpose of the inset cut in the patch is to match the impedance of the feed line to
the patch without the need for any additional matching element. This is achieved by properly
controlling the inset position. Hence this is an easy feeding scheme, since it provides ease of
fabrication and simplicity in modeling as well as impedance matching. However as the
Project report on Design of Dual Frequency and Dual Polarized Microstrip Antenna
Dr. Babsaheb Ambedkar Technological University, Lonere
Department of Electronics & Telecommunication Engineering 27
thickness of the dielectric substrate being used, increases, surface waves and spurious feed
radiation also increases, which hampers the bandwidth of the antenna. The feed radiation also
leads to undesired cross polarized radiation.
2.4.2 Coaxial Feed:-
The Coaxial feed or probe feed is a very common technique used for feeding
Microstrip patch antennas. As can be seen in figure 2.8, the inner conductor of the coaxial
connector extends through the dielectric and is soldered to the radiating patch, while the outer
conductor is connected to the ground plane.
Figure.2.8. Coaxial feed
The main advantage of this type of feeding scheme is that the feed can be placed at
any desired location inside the patch in order to match with its input impedance. This feed
method is easy to fabricate and has low spurious radiation. However, a major disadvantage is
that it provides narrow bandwidth and is difficult to model since a hole has to be drilled in the
substrate and the connector protrudes outside the ground plane, thus not making it completely
planar for thick substrates. Also, for thicker substrates, the increased probe length makes the
input impedance more inductive, leading to matching problems. It is seen above that for a
thick dielectric substrate, which provides broad bandwidth, the Microstrip line feed and the
coaxial feed suffer from numerous disadvantages. So the non-contacting feed techniques
solve these issues.
2.4.3. Aperture Coupled Feed:-
In this type of feeding technique, the radiating patch and the Microstrip feed line are
separated by the ground plane as shown in Figure 2.9. Coupling between the patch and the
feed line is made through a slot or an aperture in the ground plane.
Project report on Design of Dual Frequency and Dual Polarized Microstrip Antenna
Dr. Babsaheb Ambedkar Technological University, Lonere
Department of Electronics & Telecommunication Engineering 28
Figure.2.9. Aperture coupled feed
The coupling aperture is usually centered under the patch, leading to lower cross
polarization due to symmetry of the configuration. The amount of coupling from the feed line
to the patch is determined by the shape, size and location of the aperture. Since the ground
plane separates the patch and the feed line, spurious radiation is minimized. Generally, a high
dielectric material is used for bottom substrate and a thick, low dielectric constant material is
used for the top substrate to optimize radiation from the patch. The major disadvantage of this
feed technique is that it is difficult to fabricate due to multiple layers, which also increases
the antenna thickness. This feeding scheme also provides narrow bandwidth.
2.4.4. Proximity Coupled Feed:-
This type of feed technique is also called as the electromagnetic coupling scheme. As
shown in figure 2.10, two dielectric substrates are used such that the feed line is between the
two substrates and the radiating patch is on top of the upper substrate. The main advantage of
this feed technique is that it eliminates spurious feed radiation and provides very high
bandwidth, due to overall increase in the thickness of the Microstrip patch antenna. This
scheme also provides choices between two different dielectric media, one for the patch and
one for the feed line to optimize the individual performances.
Project report on Design of Dual Frequency and Dual Polarized Microstrip Antenna
Dr. Babsaheb Ambedkar Technological University, Lonere
Department of Electronics & Telecommunication Engineering 29
Figure.2.10. Proximity-coupled Feed
Matching can be achieved by controlling the length of the feed line and the width to
line ratio of the patch. The major disadvantage of this feed scheme is that it is difficult to
fabricate because of the two dielectric layers which need proper alignment. Also, there is an
increase in the overall thickness of the antenna.
2.4.5 Coplanar Waveguide Feed:-
Figure.2.11. Coplanar waveguide Feed
In this method, the coplanar waveguide is etched on the ground plane of the MSA.
The line is excited by a coaxial feed and is terminated by a slot, whose length is chosen to be
between 0.25 and 0.29 of the slot wavelength. The main disadvantage of this method is the
high radiation from the rather longer slot, leading to the poor front to back ratio. The front-to-
back ratio is improved by reducing the slot dimension and modifying its shape in the form of
a loop.
Project report on Design of Dual Frequency and Dual Polarized Microstrip Antenna
Dr. Babsaheb Ambedkar Technological University, Lonere
Department of Electronics & Telecommunication Engineering 30
2.5 Advantages and Disadvantages [3]:-
Microstrip patch antennas are increasing in popularity for use in wireless applications
due to their low-profile structure. Therefore they are extremely compatible for embedded
antennas in handheld wireless devices such as cellular phones, pagers etc. The telemetry and
communication antennas on missiles need to be thin and conformal and are often in the form
of Microstrip patch antennas. Another area where they have been used successfully is in
Satellite communication. Some of their principal advantages are given below:
Light weight and low volume.
Low profile planar configuration which can be easily made conformal to host surface.
Low fabrication cost, hence can be manufactured in large quantities.
Supports both, linear as well as circular polarization.
Can be easily integrated with microwave integrated circuits (MICs).
Capable of dual and triple frequency operations.
Mechanically robust when mounted on rigid surfaces.
Microstrip patch antennas suffer from more drawbacks as compared to conventional
antennas. Some of their major disadvantages are given below:
Narrow bandwidth
Low efficiency
Low Gain
Extraneous radiation from feeds and junctions
Poor end fire radiator except tapered slot antennas
Low power handling capacity.
Surface wave excitation
Microstrip patch antennas have a very high antenna quality factor (Q). It represents
the losses associated with the antenna where a large Q leads to narrow bandwidth and low
efficiency. Q can be reduced by increasing the thickness of the dielectric substrate. But as the
thickness increases, an increasing fraction of the total power delivered by the source goes into
a surface wave. This surface wave contribution can be counted as an unwanted power loss
since it is ultimately scattered at the dielectric bends and causes degradation of the antenna
characteristics. Other problems such as lower gain and lower power handling capacity can be
overcome by using an array configuration for the elements.
Project report on Design of Dual Frequency and Dual Polarized Microstrip Antenna
Dr. Babsaheb Ambedkar Technological University, Lonere
Department of Electronics & Telecommunication Engineering 31
2.6 Surface Waves:-
To increase radiation from antenna either height of the substrate or length of the
radiating edge must be increased. While doing so the radiation intensity within the patch
increases, it helps in generation of Surface waves. Now, surface waves are defined as the
modes of propagation supported by the grounded waves.
In antennas, Surface waves spread out in a cylindrical manner, around the feeding
point. The field amplitudes of these waves decreases with distance (r) or more precisely .
When surface waves meet the boundary of dielectric substrate & ground plane, they get
reflected back within the dielectric substrate & propagate within the same. As the surface
waves take up a part of energy from feeded signal, thus decreasing the amplitude of feeding
signal. So, ultimately the efficiency of the antenna decreases.
When the surface waves reach the boundary between dielectric material & air they get
reflected & diffracted by the edges. These diffracted waves causing degradation in the
antenna pattern by producing ripples & also raises side lobes & cross polarization.
To avoid surface waves,
1. Height of the dielectric material should be less than given by following,
r0 ε2π
0.3
λ
h
2. Overall dimension of antenna must be increased (i.e. Use of infinite ground plane).
The second option is impractical as we concentrate on compactness of Microstrip
antenna. So height must be maintained as per above equation.
Project report on Design of Dual Frequency and Dual Polarized Microstrip Antenna
Dr. Babsaheb Ambedkar Technological University, Lonere
Department of Electronics & Telecommunication Engineering 32
Chapter 3
Parametric Study of Microstrip Antenna
As basic aim of this project is to achieve broadbanding, dual frequency as well as dual
polarization in a single element probe fed Microstrip antenna. In this chapter certain
techniques to achieve these features are discussed below:
3.1 Techniques to Increase Bandwidth [2]:-
The bandwidth can be defined as frequency range over which Microstrip antenna is
matched with that of the feed line within specified limits.
Q
1Bandwidth
L
W
ελ
hA %Bandwidth
r0
Where, A = 180 for 0.045ελ
h
r0
A = 200 for 075.0ελ
h0.045
r0
A = 220 for 075.0ελ
h
r0
1) Use of thicker substrate with lower dielectric constant:- As bandwidth is directly
proportional to the height of the substrate & inversely proportional to the dielectric
constant it helps in enhancing the bandwidth.
r
hBandwidth
But we have limitation on increasing height as it leads to generate surface
waves which degrades performance of the antenna. Also compactness vanishes.
2) Increasing the length of patch’s radiating edge:- Increasing the length increases
radiation from the antenna which helps in increasing the bandwidth.
3) Using modified shape of the patches:- By converting regular circular or rectangular
shaped patches to circular ring or rectangular ring structures. It enhances the
Project report on Design of Dual Frequency and Dual Polarized Microstrip Antenna
Dr. Babsaheb Ambedkar Technological University, Lonere
Department of Electronics & Telecommunication Engineering 33
bandwidth because it decreases quality factor (Q) of the antenna.
The quality factor (Q) of the antenna decreases because less energy is stored
beneath the patch due to reduction in the area of the patch, so higher will be radiation.
4) Use of planar multi-resonator configuration:- Use of Staggered tuned or gap coupled
Microstrip antennas helps in enhancing the bandwidth. In these types of antennas each
element has resonant frequency close to the resonant frequency of main patch.
5) Use of multilayer configuration:- Same as planar multi-resonator configuration but
instead of planar patches are stacked. The stacked patches can be coupled through
electromagnetic or aperture coupled techniques.
6) Impedance matching network
7) Log-Periodic Microstrip antenna configurations:- These configurations are used to
obtain multi-octave bandwidth.
8) Ferrite substrate based Microstrip antenna
9) Cutting slot in Microstrip antennas
10) Use of suspended Microstrip antenna:- In this type of antenna patch with dielectric
material is placed well above ground plane. So air will be acting as another dielectric
material and ultimately effective dielectric constant decreases & bandwidth increases.
The spacing between ground plane & Patch-dielectric can be given by [10],
r0 εh0.16λg
3.2 Techniques to Achieve Dual Frequency Operation [2]:-
Generally dual frequency operation can be achieved using dual feed or single feed
technique. One of the generated frequencies can be used for transmission & other is used for
reception. So isolation becomes matter of concern in antennas. Dual feed antenna uses
separate feed point for each frequency, so better isolation can be achieved. But in single feed
to isolate between transmitter & receiver a diplexer or circulator is required.
1. Use of dual feeding scheme
2. Placing a slot near radiating edge
3. Use of shorting pins or shorting posts (wall):- Use of pins or posts also helps in
generation of multiple frequencies. But it reduces gain of the antenna.
Project report on Design of Dual Frequency and Dual Polarized Microstrip Antenna
Dr. Babsaheb Ambedkar Technological University, Lonere
Department of Electronics & Telecommunication Engineering 34
4. Use of varactor diodes or optically tuned diodes.
5. Stacked patch configuration:- In stacked patch configuration lower patch is generally
fed by probe feed method while upper patch can be electromagnetically coupled or
aperture coupled can be used. By adjusting the height of upper substrate frequency
ratio can be increased or decreased.
6. Use of planar multi-resonator configuration
3.3 Techniques to Achieve Circular Polarization:-
Patches such as square, circular, pentagonal, equilateral triangular, ring and elliptical
are capable of generating circular polarization. Circular polarization can be obtained if two
orthogonal modes are excited with a 900 time-phase difference between them. This can be
accomplished by adjusting the physical dimensions of the patch and using either single, or
two, or more feeds.
1. Single feed circularly polarized Microstrip antenna [2]:-
Figure.3.1. Various single fed circularly polarized patch antennas
In single fed circularly polarized Microstrip antenna axial ratio bandwidth is
generally low but VSWR bandwidth is quite large. A best way to recognize whether
the given dimensions are optimum for best AR is, to look in the impedance plot of the
antenna.
If in impedance plot there is kink (knot or extremely small loop), it
corresponds to excitation of two orthogonal modes & yields best AR at that
frequency. Where as if there is absence of kink in impedance plot it leads to poor AR.
As shown in figure 3.2. To achieve better axial ratio L1/L2 in square patch is adjusted.
The results of a diagonally single fed CP MSA are discussed for understanding
Project report on Design of Dual Frequency and Dual Polarized Microstrip Antenna
Dr. Babsaheb Ambedkar Technological University, Lonere
Department of Electronics & Telecommunication Engineering 35
importance of kink in impedance plot.
Figure.3.2. Responses of diagonally fed nearly square MSA for different L1/L2
In above figure we can observe different shapes of loops for different
dimension of L1, while L2 kept constant. As L1/L2 increases the loop squeezes
becomes kink, and for that particular frequency axial ratio bandwidth increases
(shown by dark line). Axial ratio decreases to smallest possible value but VSWR
bandwidth for same dimension decreases as compared to its previous value for greater
loop size (shown by dashed line). If we further increase the ratio the kink starts to
disappear & it becomes a straight line (shown by dot-dash line), and its AR bandwidth
decreases. So smaller the loop in impedance plot greater will be AR bandwidth.
In CP square MSA with modified corners, the chopping of two diagonally
opposite corners makes the resonance frequency of mode along this diagonal to be
higher than that for the mode along un-chopped diagonal.
In CP square MSA with diagonal slot, the difference in frequency can be
obtained by using rectangular slot. It increases the path length for other mode, so as
path increases frequency decreases.
CP square MSA with short or chip resistor loaded, in this both AR & VSWR
bandwidth can be increased by replacing shorting posts by chip resistors of 4.7Ω. But
it decreases gain of the antenna.
Square MSA with slits at the edges can also be used for generating CP. Also
parasitic patches can be used to achieve broader bandwidth in CP MSA.
2. Dual fed circularly polarized patch antenna [3]:- Dual feed MSA configuration yields
a wider axial ratio bandwidth & narrower VSWR bandwidth as compared to single
feed MSA configuration.
Project report on Design of Dual Frequency and Dual Polarized Microstrip Antenna
Dr. Babsaheb Ambedkar Technological University, Lonere
Department of Electronics & Telecommunication Engineering 36
For a square patch element, the easiest way to excite ideally circular
polarization is to feed the element at two adjacent edges, as shown in Figures 3.3, to
excite the two orthogonal modes. The quadrature phase difference is obtained by
feeding the by feeding the element with a 900
power divider or 90◦ hybrid.
Figure.3.3. Dual feed circularly polarized patch with power divider & 900 hybrid.
While for achieving better AR bandwidth it can be seen from impedance plot
whether to increase or decrease the patch dimension.
i. If a loop is present in impedance plot, it indicates separation between two
orthogonal modes is large & it is to be reduced to obtain better axial ratio
bandwidth.
ii. If there is slight bend in impedance plot without any kink or loop then separation
between two modes needs to be increased for this slot size must be increased.
Project report on Design of Dual Frequency and Dual Polarized Microstrip Antenna
Dr. Babsaheb Ambedkar Technological University, Lonere
Department of Electronics & Telecommunication Engineering 37
Chapter 4
Design of Microstrip Antenna
The transmission line model can be further extended to find out length, width,
effective dielectric constant & resonant frequency. We are provided with dielectric material
Epoxy resin i.e. FR-4, which is having dielectric constant (εr) of 4.4. The height of the
substrate is maintained at 1.6mm. As we have seen in previous section for generating circular
polarization square Microstrip antennas are preferred, so we start our design procedure for
square Microstrip antenna.
4.1 Design Parameters:-
Input parameters
a. Substrate material (εr):-
For fabrication Epoxy resin i.e. FR-4 material is used, which is having dielectric
constant (εr) of 4.4.
b. Height of the substrate(h):-
The height of substrate is kept at 1.6mm.
c. Resonant frequency(fr):-
Antenna is designed for UMTS-I (1920 GHz - 2170 GHz) & UMTS-II i.e. 3G (2500
GHz - 2690 GHz) with center frequency 1.81GHz & 2.6GHz. The patch is designed
with center frequency (fr1) of 2.6 GHz & then modified to achieve the other lower
frequency (fr2) of 1.81 GHz.
d. Probe radius of 0.65mm is used.
e. Coax of radius 1.5mm is used.
4.2 Calculation [2]:-
By using transmission model we have,
Width (W) of the patch,
35.11mm1ε
2
2f
cW
rr
As we are designing square patch length & width will be the same.
Length or width of ground plane:-
When the ground plane dimensions are six times of substrate thickness greater than
dimension of the patch, it gives same result as that of infinite ground plane.
Project report on Design of Dual Frequency and Dual Polarized Microstrip Antenna
Dr. Babsaheb Ambedkar Technological University, Lonere
Department of Electronics & Telecommunication Engineering 38
45mm44.71W6hWL gg
So ground plane of 45mm × 45mm with patch size of 35.11mm × 35.11mm is used
for fabrication. The patch is feeded with a coaxial probe because of simplicity it provides in
design. The coaxial probe used having a radius of 0.65mm. The design concentrates on 2.6
GHz frequency which a 3G band requires approximately 200MHz bandwidth. To achieve
such a large bandwidth, suspended Microstrip antenna concept is used. The amount of air gap
for suspended Microstrip antenna can be found by following formula [10],
r0 εh0.16λg
So after substituting known parameters we get,
15mm 15.105mmg
But as probe length increases it becomes more inductive & impedance locus shifts
towards right in smith chart. To nullify inductive nature of probe, either we have to add a
capacitance in series with it or increase the diameter of the probe. If we increase of the probe
diameter the cost for SMA connector will be more & due to series capacitance complexity of
the antenna increases. Our basic aim focuses on design of a compact MSA, so we restrict the
height of antenna (g) above ground plane to 3mm. Now to achieve the same bandwidth we
use another broadbanding technique as discussed previously in chapter 3, in this technique
square or circular antennas are converted into square ring or circular ring. So a square slot of
16mm × 16mm is added to enhance bandwidth. Now we can easily achieve the required
bandwidth by combining the two techniques. After adding slot we are getting the required
bandwidth but the radiation pattern for the antenna is not in broad sense. We are getting peak
gain at an angle 300. So after rotating the center slot by 45
0 we can get a broadside radiation
from antenna [8].
The radiation lobe achieved in broad side still suffers from discontinuities due to
unwanted radiation from some antenna edges. To suppress unwanted radiation from antenna
we added a shorting pin of 1mm diameter at (14,-14), which directly ground the waves
directed from that edge. The shorting pin helps in achieving pure broadside radiation, but the
property of shorting pin to ground the waves reduces gain of the antenna [5, 9].
Now the design of antenna is for dual frequency operation, so to generate another
frequency we add a shorting pin at diagonally opposite position (-14,-14) to that of previous
pin [5, 9]. It helps in generating another frequency but not at second center frequency (fr2)
Project report on Design of Dual Frequency and Dual Polarized Microstrip Antenna
Dr. Babsaheb Ambedkar Technological University, Lonere
Department of Electronics & Telecommunication Engineering 39
1.81GHz & also it shifts fr1. To shift these two bands to their required center frequency we
have added two corner square shaped slots. By properly adjusting dimensions for these two
corner slots we shifted the bands to the required center frequencies.
The first part in designing is over, still dual polarization not yet achieved. We want
linear polarization for band having center frequency fr2 1.81GHz & circular polarization for
other band. For generating circular polarization axial ratio for that particular band must be
below 2dB. To achieve circular polarization we have added four rectangular slots at radiating
edge.
By using a trial & error method the feeding point is selected for maximum return loss,
and input impedance closer to 50Ω can be achieved.
Table.4.1. Parameters for design of antenna
1 Dielectric material(εr) FR-4 (εr = 4.4)
2. Height of the substrate(h) 1.6mm
2 Center frequency(fr1) 2.6 GHz
3 Center frequency (fr2) 1.81 GHz
4 Ground plane(Lg × Wg ) 45mm × 45mm
5 Width (W) for patch 35.11mm
6 Length (L) for patch 35.11mm
7 Height above ground plane (g) 3mm
8 Center slot (Ls× Ws) 16mm × 16mm
9 Slots at radiating edges (Lss× Wss) 20mm × 2mm
10 Corner slot (Lcs× Wcs)
a. Corner slot1 (Lcs1 × Wcs1)
b. Corner slot2 (Lcs2 × Wcs2)
1mm × 1mm
1.5mm × 1.5mm
11 Shorting pin
a. Pin1
b. Pin 2
Diameter = 1mm,
Length = 4.6 mm
(14,-14)
(-14,-14)
12 Probe Diameter = 1.3mm
Length = 4.6 mm
(-12,-2)
Project report on Design of Dual Frequency and Dual Polarized Microstrip Antenna
Dr. Babsaheb Ambedkar Technological University, Lonere
Department of Electronics & Telecommunication Engineering 40
Figure.4.1. Top view & side view for MSA from HFSS [11]
Project report on Design of Dual Frequency and Dual Polarized Microstrip Antenna
Dr. Babsaheb Ambedkar Technological University, Lonere
Department of Electronics & Telecommunication Engineering 41
Figure.4.2. Top view for fabricated DBDP MSA
Figure.4.3. Side view for fabricated DBDP MSA
Project report on Design of Dual Frequency and Dual Polarized Microstrip Antenna
Dr. Babsaheb Ambedkar Technological University, Lonere
Department of Electronics & Telecommunication Engineering 42
Chapter 5
Results & Discussion
The antenna design focuses on two bands UMTS-I (1.92GHz - 2.17GHz) & UMTS-II
(2.5GHz - 2.69GHz) with different polarization for both bands. The antenna is simulated &
designed using Ansoft’s HFSS 11.1v. HFSS stands for High Frequency Structure Simulator.
The software is based on FEM method, in this method large structures are converted into
number of triangular, pyramidal or trapezoidal shape structure for ease of analysis. The
results for fabricated antenna are found by Agilent’s network analyzer E5062A. The
simulated & measured results are compared below
Figure.5.1. Experimental set up for testing of antenna
5.1 Return Loss:-
The return loss for experimental & simulated can be seen from Figure 5.2 below. The
return loss can be given by,
a. Using simulated results:- For center frequency(fr1) 2.61Ghz it is found to be -36.76dB
& for center frequency(fr2) 1.81Ghz it is found to be -28.02dB.
b. Using experimental results:- Shift in bands is obtained due suspended structure &
uneven ground. So center frequency (fr1) shift to 2.64GHz with return loss of -
34.71dB & center frequency (fr2) shifts to 1.83GHz with return loss of -25.70dB.
The return loss bandwidth can be found for 10dB below frequency response in graph.
Project report on Design of Dual Frequency and Dual Polarized Microstrip Antenna
Dr. Babsaheb Ambedkar Technological University, Lonere
Department of Electronics & Telecommunication Engineering 43
The return loss bandwidth can be given by,
100 f
ff (%)bandwidth lossRetun
C
LH
Frequency (GHz)
1.6 1.8 2.0 2.2 2.4 2.6 2.8 3.0
Re
turn
lo
ss (
dB
)
-40
-30
-20
-10
0
Simulated
Measured
Figure.5.2. Experimental & simulated results for return loss [11, 12]
By using above equation the return loss bandwidth
a. Using simulated results
i. For band with center frequency (fr1) 2.61 GHz
100 2.61
2.4 2.82
% 16.09
ii. For band with frequency (fr2) 1.81 GHz
100 1.81
1.695 1.965
% 14.92
Project report on Design of Dual Frequency and Dual Polarized Microstrip Antenna
Dr. Babsaheb Ambedkar Technological University, Lonere
Department of Electronics & Telecommunication Engineering 44
b. Using measured results
i. For band with center frequency (fr1) 2.64 GHz
100 2.64
2.445 2.835
% 14.77
ii. For band with center frequency (fr2) 1.83 GHz
100 1.83
1.725 1.95
% 12.3
Results are quite satisfactory with slight shifts in center frequencies for both the
bands. Generally, the thickness of ground plane is neglected in simulation results. But it
affects in experimental results. Also the ground is uneven & fragile, because its thickness is
very less & no supporting structure is present, can be seen from fabricated antenna figure 4.3.
The antenna is suspended above ground plane, so for supporting purpose three Teflon pins of
1mm are added which also changes effective dielectric constant. We can see from figure 5.2,
the shift in center frequencies of measured & simulated results.
5.2 VSWR:-
As we have seen in return loss graph, the measured response of two frequency bands
also get shifted in VSWR plot.
The VSWR using simulation result is 1.08 & 1.03 for center frequency 1.81GHz &
2.61GHz respectively. The experimental results show 1.31 & 1.38 for center frequency
1.81GHz & 2.61GHz respectively. As the bands shifted for new center frequency 1.83GHz &
2.64GHz the VSWR found to be 1.11 & 1.33.
The VSWR bandwidth is measured for 2dB below frequency response of an antenna.
Using simulation result we have 310MHz & 480 MHz VSWR bandwidth for center
frequency 1.81GHz & 2.61GHz respectively. Where as from experimental set up we have
225MHz & 315MHz VSWR bandwidth for center frequencies 1.83GHz & 2.64GHz
respectively. Figure 5.3 shows comparison of simulated & experimental results for MSA.
Project report on Design of Dual Frequency and Dual Polarized Microstrip Antenna
Dr. Babsaheb Ambedkar Technological University, Lonere
Department of Electronics & Telecommunication Engineering 45
Frequency (GHz)
1.2 1.4 1.6 1.8 2.0 2.2 2.4 2.6 2.8 3.0
VS
WR
0
1
2
3
4
5
Simulated
Measured
Figure.5.3. Experimental & simulated results for VSWR [11, 12].
5.3 Frequency vs. Gain:-
The Gain of the antenna found to be -0.85dB for 2.61GHz from following graph. The
gain is found to be low due to the use of two shorting pins at opposite corners which
suppresses modes & directly
Project report on Design of Dual Frequency and Dual Polarized Microstrip Antenna
Dr. Babsaheb Ambedkar Technological University, Lonere
Department of Electronics & Telecommunication Engineering 46
Frequency (GHz)
1.2 1.4 1.6 1.8 2.0 2.2 2.4 2.6 2.8 3.0
Ga
in (
dB
)
-25
-20
-15
-10
-5
0
Figure.5.4. Simulated result for Frequency vs. Gain [11]
grounding the waves. Much of the waves are directly grounded, less energy getting radiated
from antenna & thus gain reduces. The gain pattern for operating frequencies are shown in
figure 5.5 & 5.6 below.
Project report on Design of Dual Frequency and Dual Polarized Microstrip Antenna
Dr. Babsaheb Ambedkar Technological University, Lonere
Department of Electronics & Telecommunication Engineering 47
-10 -8 -6 -4 -2
-10
-8
-6
-4
-2
-10-8-6-4-2
-10
-8
-6
-4
-2
0
30
60
90
120
150
180
210
240
270
300
330 Phi = 0 Deg
Phi = 90 Deg
Figure.5.5. Simulated radiation pattern for frequency 2.61GHz [11].
Project report on Design of Dual Frequency and Dual Polarized Microstrip Antenna
Dr. Babsaheb Ambedkar Technological University, Lonere
Department of Electronics & Telecommunication Engineering 48
-24 -22 -20 -18 -16 -14 -12 -10 -8
-24
-22
-20
-18
-16
-14
-12
-10
-8
-24-22-20-18-16-14-12-10-8 -24
-22
-20
-18
-16
-14
-12
-10
-8
0
30
60
90
120
150
180
210
240
270
300
330Phi = 0 Deg
Phi = 90 Deg
Figure.5.6. Simulated radiation pattern for frequency 1.81GHz [11].
5.4 Axial ratio vs. Frequency:-
The simulation results found using HFSS are shown in figure 5.7.
As the antenna design focuses on generating dual polarization. We generate a linear
polarization at 1.81 GHz with axial ratio of 17.61dB & circular polarization with axial ratio
of 1.4dB at 2.61GHz.
The axial ratio bandwidth is found for 3dB below frequency response from simulation
result graph. The bandwidth found to be 160MHz. In practical applications it is admirable to
have 3-6dB below frequency response. So for 6dB below frequency response, 340MHz axial
ratio bandwidth can be achieved.
Project report on Design of Dual Frequency and Dual Polarized Microstrip Antenna
Dr. Babsaheb Ambedkar Technological University, Lonere
Department of Electronics & Telecommunication Engineering 49
Frequency (GHz)
1.6 1.8 2.0 2.2 2.4 2.6 2.8 3.0
Axia
l ra
tio
(dB
)
0
2
4
6
8
10
Figure.5.7. Simulation result for frequency vs. axial ratio [11].
Figure 5.8 shows simulated results of LHCP & RHCP patterns for antenna in dB. It
shows LHCP is maximum at Ө = 00
& RHCP is maximum at Ө = 900.
Project report on Design of Dual Frequency and Dual Polarized Microstrip Antenna
Dr. Babsaheb Ambedkar Technological University, Lonere
Department of Electronics & Telecommunication Engineering 50
-50 -40 -30 -20 -10 0
-50
-40
-30
-20
-10
0
-50-40-30-20-100-50
-40
-30
-20
-10
0
0
30
60
90
120
150
180
210
240
270
300
330 LHCP (dB)
RHCP (dB)
Figure.5.8. Simulated radiation pattern for frequency 2.6GHz [11].
5.5 Smith Chart:-
In smith chart we can see that whether the antenna feed is perfectly matched or there
is reflection of incident wave. If feed is not perfectly matched energy will be lost & less
power will be delivered to antenna. The input impedance of antenna depends on feeding
location, probe diameter, probe length.
Project report on Design of Dual Frequency and Dual Polarized Microstrip Antenna
Dr. Babsaheb Ambedkar Technological University, Lonere
Department of Electronics & Telecommunication Engineering 51
Figure.5.9. simulation result for smith chart [11].
From simulation result we get 51Ω input impedance for our antenna at 2.6GHz.
Ideally 50Ω impedance is required to avoid losses.
Project report on Design of Dual Frequency and Dual Polarized Microstrip Antenna
Dr. Babsaheb Ambedkar Technological University, Lonere
Department of Electronics & Telecommunication Engineering 52
Chapter 6
Conclusion & Future Scope
As we have studied various techniques for achieving broad banding, multiple
frequency & polarization schemes using MSA during the scope of the project. We use some
technique for achieving dual frequency, and some of circular polarization technique &
combine them in a compact MSA. But the simulation results generated using HFSS are not
perfectly matched with experimental result, due to the problem in ground plane. Also
combining different technique together generates problem, such as for achieving broad band
center slot is placed in patch but the orthogonal feed location required for achieving circular
polarization is unable to achieve. So axial ratio bandwidth achieved are not fulfilling the
requirement. Use of shorting pins helps in achieving dual frequency operation but it reduces
gain of the antenna to a very low level. Corner chopping helps in shifting the two generated
bands to desired position, simply by varying their dimensions. The slots placed at radiating
edges helps in reducing axial ratio for the antenna. The suspended structure of antenna
requires supporting structure which increases the cost for antenna.
The experimental & simulated results varied not much but in practice 225MHz &
390MHz bandwidths for different frequencies can be obtained using single feed MSA. Also
VSWR bandwidths of 225MHz & 315MHz are achieved.
Future scope:-
As the axial ratio achieved is very less & force antenna to be impractical to use for
mobile communication system, so work can be done to improve it. Corner chopping with
triangular shape can be tried for improving axial ratio bandwidth. Also gain of antenna can be
increased by avoiding use of the shorting pins, so to suppress unwanted waves something else
can be used.
Project report on Design of Dual Frequency and Dual Polarized Microstrip Antenna
Dr. Babsaheb Ambedkar Technological University, Lonere
Department of Electronics & Telecommunication Engineering 53
References
[1] K. D. Prasad, “Antenna Wave and Propagation”, Satya Prakashan, New Delhi, 1995
[2] G. Kumar and K. P. Ray, “Broadband Microstrip Antennas”, Artech House, 1992
[3] C. A. Balanis, “Antenna Theory Analysis and Design”, 3rd
Edition, John Wiley and
Sons, New York, 1997.
[4] Kin-Lu Wong, “Compact and Broadband Microstrip”, John Wiley and Sons, 2002
[5] Ramesh Gerg, Prakash Bhartia, Indar Bhal & Apisak Ittipiboon, “Microstrip Antenna
Design Handbook”, Artech House, London, 2001
[6] R. B. Waterhouse, “Microstrip Patch Antenna, A Designer’s Guide”, Kluwer
Academic Publishers, London, 2003
[7] Guntur Kompa, “Practical Microstrip Design and Applications”, Artech House,
London, 2005
[8] V. P. Sarin, M. S. Nishamol, Gijo Augustin, P. Mohanan, C. K. Aanandan, and K.
Vasudevan, “An Electromagnetically Coupled Dual-Band Dual-Polarized Microstrip
Antenna for WLAN Applications”, Microwave And Optical Technology Letters, Vol.
50, No. 7, July 2008, pp-1867-1870.
[9] J.-S. Row and K.-W. Lin, “Low-Profile Design of Dual-Frequency and Dual-
Polarised Triangular Microstrip Antennas”, IEEE 2004, Vol. 40 No. 3.
[10] V. G. Kasbegoudar and K. G. Vinoy, “Broadband Suspended Microstrip Antenna for
Circular Polrization”, PIER 90, pp-353-368, 2009
[11] Ansoft’s HFSS 11.1v
[12] Sigma Plot for Windows version 11.0