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DIELECTRIC RESONATOR REFLECTARRAY ANTENNA IN
KU-BAND
NUR IZYANI BINTI DZULKIPLI
A thesis submitted in fulfilment of the
requirements for the award of the degree of
Master of Engineering (Electrical)
Faculty of Electrical Engineering
Universiti Teknologi Malaysia
JULY 2014
iii
Specially dedicated to muslim brothers and sisters around the world, may be benefits
to the community.
For family, lectures and friends,
thanks for support, teach, guide and pray for me.
iv
ACKNOWLEDGEMENT
Alhamdulillah, Praise to Allah S.W.T for His blessing and guidance that has
inspired me through this project which was able to be completed within the required
time and gain enormous knowledge that is useful for the future undertaking.
I would like to gratitude to my supervisor and co-supervisor, Dr Mohd Haizal
Jamaluddin and Dr. Mohd Fairus MohdYusoff for their support, guidance, advice
and willingness to help me in completing my master project.
I would also like to thank all the WCC staffs for their valuable support and
discussion during my master. A special thanks to Mr Norhafizul Ismail for their help
in to use the facilities to measure the performance of the antenna.
I also want to dedicate my appreciation to my entire colleague for all the help
and assistance during my project especially to Libriati Zadarsti, Aminiril Anisah,
Suhanis Sufian, Raihan Zulkefly, Wan Azza Zainol Rashid, Nur Shazwani, and all
my beloved sisters.
I also want to give special appreciation my family for their support through
my study here in UTM. I would thanks to my parents, Dzulkipli bin Othman,
Mahani Rowi and Samisah Samad for all the love their gives to me, pray, moral
support along my study.
Alhamdulillah, I have managed to complete the project and gained valuable
knowledge and experience during that time. May Allah S.W.T repay all their
kindness and bless all of us. AMIN
.
.
v
ABSTRACT
Direct broadcasting satellite has become a vital system in satellite
communication globally especially for digital broadcasting purposes. Currently, a
parabolic antenna is normally used for this application, however the advantages of
reflectarray which is flat in shape and possibility for beam steering capability make
the reflectarray antenna is one of the interesting topic to be studied. At the current
time, many reflectarrays are based on microstrip technology. Nevertheless, at high
frequency the conductor loss is high and the antenna efficiency will be reduced. An
interesting solution is to use dielectric resonator antennas (DRAs) as the reflectarray
elements. In facts, DRA can give low loss and high bandwidth. In this thesis, firstly
four different slots with alphabets underneath the rectangular DRA have been
investigated as unit-cell for reflectarray. A new structure of rectangular DRA with C-
shaped slot unit-cell has been proposed which can give high phase range (321.9o)
and low loss (0.3685o). This structure is then being validated experimentally in Ku-
Band. Next, the mutual coupling effects between unit-cell in the reflectarray are
studied and a simulation technique based on Finite Different Time Domain (FDTD)
is proposed. By doing so, this simulation technique is most suitable to predict the
actual reflectarray radiation pattern. Finally, the reflectarray antenna composed of 24
x 24 unit-cells based on DRA with C-shaped slot is proposed at 12 GHz.
vi
ABSTRAK
Penyiaran satelit langsung telah menjadi satu sistem yang penting dalam
komunikasi satelit global terutamanya untuk tujuan penyiaran digital. Pada masa ini,
penggunaannya menggunakan antena parabola, namun kelebihan reflectarray dalam
bentuk yang rata dan kemungkinan untuk keupayaan stereng rasuk membuat antena
reflectarray adalah salah satu topik yang menarik untuk dikaji. Pada masa kini,
banyak reflectarray adalah berdasarkan kepada teknologi mikrostrip. Walau
bagaimanapun, pada frekuensi tinggi, kehilangan konduktor adalah tinggi dan
kecekapan antena akan dikurangkan. Satu penyelesaian yang menarik adalah dengan
menggunakan antena resonator dielektrik (DRA) sebagai elemen reflectarray.
Malahan, DRA boleh memberi kerugian yang rendah dan jalur lebar yang tinggi.
Dalam tesis ini, untuk langkah awal, empat lubang yang berbeza dengan bentuk
huruf direka bentuk di bawah DRA segi empat tepat telah disiasat sebagai unit-sel
untuk reflectarray. Satu struktur baru DRA segi empat tepat dengan berbentuk
lubang-C unit-sel telah dicadangkan, di mana ia boleh memberi pelbagai fasa yang
tinggi (321.9o) dan kerugian yang rendah (0.3685
o). Struktur ini kemudiannya yang
disahkan secara eksperimen di Ku-Band. Seterusnya, kesan gandingan bersama
antara unit-sel dalam reflectarray dikaji dan teknik simulasi berdasarkan Finite
Different Time Domain (FDTD) dicadangkan. Dengan berbuat demikian, teknik
simulasi ini adalah yang paling sesuai digunakan untuk meramal corak sinaran
reflectarray sebenar. Akhir sekali, antena reflectarray yang terdiri daripada 24 x 24
unit-sel berdasarkan DRA dengan berbentuk lubang-C adalah dicadangkan pada 12
GHz.
vii
TABLES OF CONTENTS
CHAPTER TITLE PAGE
DECLARATION ii
DEDICATION iii
ACKNOWLEDGEMENTS iv
ABSTRACT v
ABSTRAK vi
TABLE OF CONTENTS vii
LIST OF TABLES xi
LIST OF FIGURES xii
LIST OF ABREVIATIONS xvii
LIST OF SYMBOLS xviii
LIST OF APPENDICES xix
1 INTRODUCTION
1.1. Introduction
1.2. Problem Statement
1.3. Objectives of The Research
1.4. Scope of The Research
1.5. Organization of the Thesis
1
3
4
4
5
2 LITERATURE REVIEW
2.1. Introduction
2.1.1 Principle of Reflectarray Antenna
2.1.2 Microstrip Antenna
2.2 Dielectric Resonator Antenna
2.2.1. DRA Feeding Technique
8
8
13
15
17
viii
2.2.1.1 Microstrip Line Coupled to
Dielectric Resonator Antenna
2.2.1.2 Probe Coupled to Dielectric
Resonator Antenna
2.2.1.3 Slot-Loaded/ Aperture-Coupled
Dielectric Resonator Antenna
2.2.1.4 DRA Reflectarray
2.3 Summary
17
18
19
21
22
3 DESIGN AND CHARACTERISATION OF
UNIT-CELL
3.1. Introduction
3.2. Basic Design Simulation
3.2.1 Defining the Boundary Condition
3.2.2 Defining Waveguide Port
3.3 S Dielectric Resonator Antenna at Ku-Band
(With Feed)
3.3.1 Dielectric Resonator Antenna Size
3.3.2 Substrate
3.4 Basic Design of Dielectric Resonator
Reflectarray Antenna
3.5 Description of the Slot-Loaded DRA (DRA
with Line Slot)
3.6 DRA with Different Alphabet Shape Slot
3.7 Comparison with the „Full-Substrate‟
Configuration
3.8 Validation of DRA and Full-Substrate
Structure
3.8.1 Fabrication and Measurement Setup
3.8.2 Results and Discussion
3.9 Summary
23
24
24
25
25
26
27
29
32
34
39
42
42
45
48
ix
4 STUDY OF MUTUAL COUPLING EFFECT IN
REFLECTARRAY ENVIRONMENT
4.1. Introduction
4.2. Simulation Approaches Proposed Antenna
Structure
4.2.1. FDTD Floquet
4.2.2. „Isolated element‟ approach
4.2.3. Neighbouring element
4.2.4. Simulation comparisons between
different approaches
4.3. Concept and definition
4.4. Coupling effects from several neighbouring
unit-cells on the phase variation
4.4.1. Identical unit-cells
4.4.2. Non Identical unit-cells
4.5. Prediction of overall DRA reflectarray
4.6. Summary
50
51
51
52
53
53
55
56
57
58
63
67
5 DESIGN AND CHARACTERISATION OF DRA
REFLECTARRAY
5.1 Introduction
5.2 General Overview of DRA Reflectarray
5.3 Antenna Design
5.3.1 DRA unit-cell
5.3.2 Horn Antenna
5.3.3 Antenna Array
5.4 Overall DRA Reflectarray
5.4.1 Simplified calculation
5.5 Summary
68
68
69
69
71
73
76
77
78
6 CONCLUSIONS AND RECOMMENDATIONS
6.1 Summary
6.2 Future work
79
80
x
REFERENCES 82
Appendices A-E 86
xi
LIST OF TABLES
TABLE NO. TITLE PAGE
3.1 Resonance frequency and return loss for different
dimension of DRA 27
3.2 Simulation result of different substrate thickness 29
3.3 Parameters of basic structure design of single unit-cell 30
3.4 Summary- Selection of alphabet shape slot 38
4.1 Gain and directivity of DRA reflectarray at 30 GHz 67
5.1 Design specification of single unit-cell 70
xii
LIST OF FIGURES
FIGURE NO. TITLE PAGE
1.1 Photo of parabolic reflect array for space
applications 2
1.2 Flow chart of whole project 6
2.1 Combination of (a) reflector antenna and (b) array
antenna which produces (c) reflectarray antenna 9
2.2 Process of a unit-cell model for reflectarray
element 10
2.3 Principle of a reflectarray antenna with
compensation of different paths 11
2.4 Phase delay variation of unit-cell 12
2.5 Various types of printed reflectarray antenna (a)
patch (b) slot and (c) stub 13
2.6 Techniques to reduce backward radiation, (a)
bottom conducting plate and (b) slot apertures
directly in the patch 14
2.7 Rectangular dielectric resonator antenna (a)
truncated dielectric waveguide and (b) DRA on
ground plane 15
2.8 Microstrip line coupled to the dielectric resonator
antenna (a) side coupling and (b) direct coupling 18
2.9 Probe coupled to the dielectric resonator antenna
(a) probe adjacent to the DRA and (b) probe
embedded to DRA 18
xiii
2.10 Dielectric resonator antenna coupled to a
microstrip-fed slot in the ground plane [29] 20
2.11 Return loss for slot coupled to dielectric resonator
antenna (a) Ls = 3.33cm, (b) Ls = 2.67cm, (c) Ls =
2.33cm and (d) Ls = 2cm [29]. 20
2.12 DRA with metallic strip on the top 22
3.1 Boundary condition setting in CST MWS 24
3.2 Basic rectangular DRA (a) 3D view, (b) top view
and (c) side view 26
3.3 Simulation result for different dimensions of DRA
(a) 8 x 8 x 2 mm3, (b) 9 x 9 x 3 mm3 and (c) 10 x
10 x 2 mm3
27
3.4 Simulation result for different material of substrate 28
3.5 Basic structure of dielectric resonator reflectarray
antenna 30
3.6 Reflection coefficient of the basic structure of
dielectric resonator reflectarray antenna for a
single unit-cell (a) amplitude of S11 and (b) phase
of S11 31
3.7 Single unit-cell of dielectric resonator reflectarray
antenna loaded with line slot (a) 3D view and (b)
side view 32
3.8 Reflection coefficient of DRA reflectarray with
line slot (a) phase of S11 and (b) amplitude of S11 33
3.9 Four different shape slots (a) H-shape, (b) U-
shape, (c) C-shape and (d) E-shape 34
3.10 Phase of S11 versus length of slot a for (a) a/b =
1.25 mm, (b) a/b = 1.5 mm and (c) a/b = 1.75 mm 36
3.11 Reflection coefficient of different shape at 12 GHz
(a) phase of S11 and (b) amplitude of S11 37
3.12 3D view of the full substrate 39
3.13 Reflection amplitude (a) square DRA and (b) full
substrate 40
xiv
3.14 Reflection coefficient of square DRA and full
substrate (a) amplitude of S11 and (b) phase of S11 41
3.15 Measurement setup 43
3.16 Geometry of dual unit-cell (a) illustration of dual
unit-cell, (b) dual unit-cell with different size of
slot and (c) dual unit-cell without DRA, square
DRA and full substrate 44
3.17 Reflection coefficient of dual unit-cell (a)
simulation result forsquare DRA, (b) measurement
result for square DRA, (c) simulation result for full
substrate and (d) measurement for full substrate. 47
3.18 Reflection phase of (a) square DRA and (b) full
substrate 48
4.1 Floquet simulation approach (a) infinite periodic
element (b) Floquet boundary condition 52
4.2 Isolated element approach. 52
4.3 Neighbouring element approach 53
4.4 DRA unit-cell structure [61] 54
4.5 Phase variation of each approach 54
4.6 Mutual coupling between two unit-cells. 55
4.7 Illustration of mutual coupling effect based on the
neighbouring-element approach and quasi-Floquet
approach 56
4.8 Phase variation comparison between quasi-Floquet
and Floquet. 57
4.9 Geometry arrangement of identical unit-cells (a)
strip length = 0.7 mm (b) strip length = 1.4 mm (c)
strip length = 2.1 mm 58
4.10 Phase variation of identical unit-cell for different
strip length. 58
4.11 Four cases for different geometry arrangements of
non-identical cells 59
xv
4.12 Phase variation comparison of non-identical and -
illuminated unit-cells in E-plane 60
4.13 Phase variation comparison of non-identical and
non-illuminated unit-cells in H-plane 61
4.14 Geometry arrangement of non-identical and
illuminated unit-cells in E-plane case 62
4.15 Phase variation comparison of non-identical and
illuminated unit-cells in E-plane case. 62
4.16 Phase variation comparison of two non-identical
configuration and illuminated unit-cells in E-plane
case. 63
4.17 Measured vs. simulated radiation pattern for array
factor concept and neighbouring-element method;
(a) E-plane co-polar (b) H-plane co-polar. 65
4.18 The illustration to the concept of the coupling
effect for each unit-cell in the DRA reflectarray
layout. 66
5.1 Overall design of DRA reflectarray 69
5.2 Single unit-cell with C-shape slot loaded to the
DRA 70
5.3 Radiation pattern of DRA unit-cell using FDTD
with slot length = 5 mm 71
5.4 Illustration of horn antenna 72
5.5 Radiation pattern of horn antenna at 12 GHz for E-
plane and H-plane 72
5.6 Illustration for horn antenna located in E-plane 73
5.7 Colour plot of phase at each unit-cell (in degree) 74
5.8 Procedure to determine the length of the slot at
each unit-cell based on the phase at unit-cell 75
5.9 Conversion of Фcell (m,n) to slot length 75
xvi
5.10 Illustration of final layout. 75
5.11 Radiation pattern of 24 x 24 cells reflectarray 78
xvii
LIST OF ABBREVIATION
cm - Centimeter
CST MWS - Computer Simulation Technology Microwave Studio
dB - Decibel
dBi - Decibels with respect to isotropic
DBS - Direct Boardcast Satellite
DRA - Dielectric Resonator Antenna
E-plane - Electric Plane
FDTD - Finite Different Time Domain
FR-4 - Flame Retardant-4
GHz - Gigahertz
H-Plane - Magnetizing Field
MATLAB - Matrix Laboratory
mm - Milimeter
PEC - Perfect Electric Conductor
PMC - Perfect Magnetic Conductor
PTFE - Polytetrafluoroethylene
RT-Duroid - Rogers
TE - Transverse Electromagnetic
TM - Transverse Magnetic
TEM - Transverse Electromagnetic Mode
VNA - Vector Network Analyser
WR - Waveguide Rectangular
WGS - Waveguide simulator
xviii
LIST OF SYMBOLS
o - Degree
- Disturbance factor
s - Distance between the microstripline and DRA
E
- Electric field
f - Frequency
S - Incident wave
Ls - Length of the slot
Ω - Ohm
- Permittivity
Ф - Phase
π - Phi
fo - resonant frequency
C - Speed of light
S11 - S-parameter from port one for a signal incident on port one
θ - Theta
n
- Unit vector normal
λ - Wavelength
k0 - wave number
kx, ky, kz - wavenumber along x, y and z directions
xix
LIST OF APPENDICES
APPENDIX TITLE PAGE
A List of Author‟s Publication 86
B Calculation of DRA Size 89
C Overall Radiation using FDTD 91
D WR-90 DATASHEET 101
E Layout of Array Antenna 104
CHAPTER 1
INTRODUCTION
1.1 Introduction
In the era of information technology, the utilization of satellite
communication that is designed originally for sending telephone, radio,
television and other signals across the country and around the world has
become more popular recently. Nowadays, the major source of revenue for
satellite communication industry is the television satellite broadcasting.
Television satellite is able to deliver a few signals of large bandwidth to
many receivers and becomes a more precise match for the capabilities of
geosynchronous communication satellite. One of the technology that is used
for Direct-To-Home satellite television service is Direct Broadcast Satellite
(DBS).
As the name implies, DBS is a system that distributes television
signals by broadcasting directly from satellite to end-user. The ability of DBS
is to deliver hundreds of television channels and confidential information to
millions of people around the world without being connected to the wires.
In order to receive DBS, subscriber antennas should possess high gain
characteristic [1]. Conventionally, in order to have high gain characteristic
antennas, most of the antennas often used parabolic reflector, which is
generally bulky in size and large in mass. As a solution, reflectarray antenna
has been developed extensively to accomplish the requirement of the mission
of DBS. This new type of antenna was presented in the early 1960s [2].
Reflectarray antenna is the suitable choice for space applications such as
2
earth remote sensing and space exploration [3]. It is because this type of
antenna is able to reradiate and scatter the incident field with electrical phases
that is required to form a planar phase front in the far-field distance [4]. In
addition, reflectarray antenna can be designed to fulfill all the typical
requirements of a transmitted and received DBS antenna that provides the
electrical requirements [5]. The reflectarray antenna design for DBS has been
presented in literature [5, 6].
There are a lot of advantages using reflectarray antenna. One of the
advantages is the ability to achieve very good efficiency for a large aperture.
However, the use of metal waveguides in the reflectarray antenna leads to a
large and bulky structure, and the antenna is mostly languished in the
literature for many years [7].
Figure 1.1: Photo of parabolic reflect array for space applications [4].
Basically, reflectarray antenna is a combination of the features of
phased array antenna and reflector antenna. Then in the early 1960s, the first
concept of reflectarray antenna was introduced in the waveguide reflectarray.
The capability of achieving co-phasal reradiated far-field beams has been
demonstrated. However, the antenna is still bulky and heavy because it
operates at relatively low microwave frequencies.
As time goes on, in the late 1980s and early 1990s, printed
(microstrip) antenna was developed [8]. With advantages such easy
deployment in space, reducing cost production, low weight, flatness and
flexible electrical performance in terms of feeding, polarization control, beam
3
steering, amplification and multiple beam capability, a lot of researchers have
contributed to this field. Nevertheless, for microstrip reflectarray at
millimeter-waves, the efficiency of the antenna may be reduced significantly
and the conductor loss becomes severe. Based on all these facts, the author
has been motivated to propose a new design of reflectarray antenna.
The new reflectarray antenna design consists of dielectric resonator
antenna (DRA) unit-cell loaded with alphabet shape slot. Due to the
interesting features of DRA such as low loss, broad bandwidth small mutual
coupling effect and higher radiation efficiency, thus DRA has become the
main subject of the study. Meanwhile, in order to excites the magnetic fields
in the DRA [9], alphabet shape slot is loaded as the main frequency tunable
for the DRA. Alphabet shape slot is chosen due to the various geometries.
1.2 Problem Statement
Most long distance wireless communication such as DBS requires
high gain antenna operation. Conventionally, it has to rely on the parabolic
reflector antenna. However, most of the structure of parabolic reflectors
caused the antenna difficult to be implemented, especially at higher
microwave. This is due to the specific parabolic curve [4]. Designing the
reflector antenna in a specific parabolic antenna has led to the antenna being
slow and has narrow angle beam scanning. Furthermore, the large number of
amplifiers and complicated beamformer are needed in the feed network,
which makes the phased array antenna becomes very expensive. As an
alternative, reflectarray antenna has been proposed in this thesis, which is
much simpler and has reliable folding mechanism due to the flat structure [4].
The features of reflectarray antenna have shown that the viability of
this technology are able to transmit and received space antenna for
telecommunications and broadcasting [5]. Recently, many investigation of
reflectarray antenna are based on microstrip design [8, 10, 11]. The unit-cell
of microstrip reflectarray will be controlled to provide higher efficiency for
very large aperture. It can also has its main beam designed to tilt at a large
4
angle from its broadside direction. Nevertheless, at high frequencies, the
conductor loss of microstrip reflectarray becomes severe [12]. In addition,
the mutual coupling effect of microstrip element that printed on the substrate
becomes noteworthy [13]. Due to this drawback, this thesis proposes a new
reflectarray antenna based on DRA. DRA is an interesting element that can
provide low loss and high bandwidth compared to microstrip antenna.
In order to design the overall antenna, the reflectarray environment
from the non-identical unit-cells is considered. This is due to the different
phase shift at each unit-cell. Unfortunately, most of the approach in the unit-
cell analysis has been carried out for the single unit-cell [11, 14] which
assumes that all unit-cell in the array is identical which is not true in reality.
Therefore, the mutual coupling effects between the unit-cell in the
reflectarray antenna are studied.
1.3 Objectives of the Research
The objectives of this research are:
1) To design, fabricate and test a new unit-cell based on DRA that can give
high phase range approximate to 360˚ or more.
2) To design a reflectarray antenna that is based on DRA.
3) To investigate a new simulation technique based on Finite Different
Time Domain (FDTD) that can analyse mutual coupling effect and
predict the overall radiation pattern of reflectarray.
1.4 Scopes of the Research
In order to fulfill the objectives of the study, this project involves with
designing a new unit-cell based on a rectangular DRA as the reflectarray
element. A slot has been loaded underneath the unit-cell that acts as the
tuning parameter to control the phase of the reflection coefficient. Four
different alphabet shape slots have been investigated in order to have a large
5
phase range. The large achievable phase range and low loss (insertion loss
less than 1 dB) will be the main goal to design a better performance of the
reflectarray element. The unit-cell will be designed at 12 GHz for DBS. The
design is simulated using commercial CST software. Meanwhile, the
fabrication and measurement have been carried out using WR 90 waveguide.
This thesis also studies the disturbance phenomena inside the
structure, which is called mutual coupling effect. The simulation technique to
analyse the mutual coupling effect in reflectarray environment is based on
FDTD, which includes the coupling effect from the actual neighbouring unit-
cell. A new method based on FDTD is introduced to predict the radiation
pattern of the overall DRA reflectarray.
Finally, the whole reflectarray antenna with 24 x 24 elements is
designed and simulated. This DRA reflectarray is designed at broadside
radiation.
1.5 Organization of the Thesis
Basically, in this thesis, the flow of the whole project is present in
Figure 1.2 below:
6
Figure 1.2: Flow chart of whole project
This thesis is organized into four main chapters and one final chapter
for the conclusion. The flow of each chapter is briefly described in the
following paragraphs.
Chapter 1 presents the general introduction of this research. This
includes the background study of the reflectarray antenna and the problem
occurs in the development of reflectarray element that gives the motivation
for further study this research. In addition, the objectives need to be achieved
and the scopes of the research have been determined in order to design the
new unit-cell of the reflectarray antenna.
Chapter 2 presents a basic literature review that is related to the
design. This gives an overview about the history of the development of the
reflectarray antenna since its invention. The development has shown that the
reflectarray antenna becomes popular in the current research field. This
includes the usage of printed microstrip reflectarray antenna that has been
produced in various forms to achieve the best performance in designing
reflectarray antenna. This chapter also explains the concept, most significant
features, advantages and disadvantages of the reflectarray element followed
by the DRA that will be used to design as a new unit-cell reflectarray
antenna.
The third chapter focuses on designing the new unit-cell in the
simulation and fabrication process. The steps taken have been discussed,
END
Design an element of dielectric
resonator antenna reflectarray
loaded with alphabet shape slot
Study mutual coupling effect
Design and simulate DRA
reflectarray antenna
7
including the determination of size of DRA, the waveguide port setting,
defining the boundary condition and the inter-element spacing. In order to
have a better performance in designing the reflectarray antenna, four different
alphabet shape slots have been investigated and discussed in this chapter. In
the end, the best unit-cell is selected as the reflectarray element. In addition, a
„full substrate‟ has been introduced to investigate the operating principle of
the proposed unit-cell.
The fourth chapter discusses about the mutual coupling effects in the
reflectarray environment. It is found that the nearest neighbouring unit-cell in
E-plane has a large mutual coupling effect compared to the neighbouring
unit-cell located at H-plane. A simulation technique based on FDTD has been
proposed to predict the overall radiation pattern of the reflectarray. A
reflectarray prototype that operates at 30 GHz [15] has been chosen as the
benchmark. A good agreement between simulation and measurement results
has been discussed in this chapter.
The fifth chapter discusses the overall design of DRA reflectarray
antenna. This also includes the horn antenna design and the procedure to
define the dimensions of each unit-cell of the DRA reflectarray. The overall
conclusion is given in the last section of the thesis.
82
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using data from isolated patch analysis. Microw. Opt. Technol, 2002. 34(6):
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dielectric resonator antenna. Electronics Letters, 2008. 44(11): p. 664.
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Dielectric Resonator Reflectarray. International Journal of Electromagnetics
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[14] Targonski, S. D. and Pozar, D. M. Analysis and Design of a Microstrip
reflectarray using patches of variable size. in Antennas and Propagation
Society International Pozar Symposium, 1994. AP-S. Digest. 1994.
[15] Jamaluddin, M. H., Sauleau, R., Castel, X., Benzerga R. and Le Coq, L.
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