24
ELECTROMAGNETIC BAND GAP (EBG) STRUCTURE NIK NABIHAH BINTI NIK MUSA This report is submitted in partial fulfillment of the requirements for the award of Bachelor of Electronic Engineering (Telecommunication Electronic) With Honours Faculty of Electronic and Computer Engineering Universiti Teknikal Malaysia Melaka April 2009

ELECTROMAGNETIC BAND GAP (EBG) STRUCTURE NIK …eprints.utem.edu.my/6119/1/Electromagnetic_Band_Gap... · Struktur „EBG‟ ialah ... 2-D multiperiod EBG with a longer transmission

  • Upload
    others

  • View
    10

  • Download
    0

Embed Size (px)

Citation preview

Page 1: ELECTROMAGNETIC BAND GAP (EBG) STRUCTURE NIK …eprints.utem.edu.my/6119/1/Electromagnetic_Band_Gap... · Struktur „EBG‟ ialah ... 2-D multiperiod EBG with a longer transmission

ELECTROMAGNETIC BAND GAP (EBG) STRUCTURE

NIK NABIHAH BINTI NIK MUSA

This report is submitted in partial fulfillment of the requirements for the award of

Bachelor of Electronic Engineering (Telecommunication Electronic) With Honours

Faculty of Electronic and Computer Engineering

Universiti Teknikal Malaysia Melaka

April 2009

Page 2: ELECTROMAGNETIC BAND GAP (EBG) STRUCTURE NIK …eprints.utem.edu.my/6119/1/Electromagnetic_Band_Gap... · Struktur „EBG‟ ialah ... 2-D multiperiod EBG with a longer transmission

iii

“I hereby declare that this report is the result of my own work except for quotes as

cited in the references.”

Signature :

Author : Nik Nabihah Binti Nik Musa

Date :

Page 3: ELECTROMAGNETIC BAND GAP (EBG) STRUCTURE NIK …eprints.utem.edu.my/6119/1/Electromagnetic_Band_Gap... · Struktur „EBG‟ ialah ... 2-D multiperiod EBG with a longer transmission

iv

“I hereby declare that I have read this report and in my opinion this report is

sufficient in terms of the scope and quality for the award of Bachelor of Electronic

Engineering (Telecommunication Electronics) With Honours.”

Signature :

Supervisor‟s Name : Mr. Mohamad Zoinol Abidin Bin Abd. Aziz

Date :

Page 4: ELECTROMAGNETIC BAND GAP (EBG) STRUCTURE NIK …eprints.utem.edu.my/6119/1/Electromagnetic_Band_Gap... · Struktur „EBG‟ ialah ... 2-D multiperiod EBG with a longer transmission

v

Dedicated, in thankful appreciation for support, encouragement and understandings

to my beloved mother, father, and friends for give me support to get through this

journey in my project and further studies.

Page 5: ELECTROMAGNETIC BAND GAP (EBG) STRUCTURE NIK …eprints.utem.edu.my/6119/1/Electromagnetic_Band_Gap... · Struktur „EBG‟ ialah ... 2-D multiperiod EBG with a longer transmission

vi

ACKNOWLEDGEMENT

Alhamdulillah, praise be to Allah, the Cherisher and Sustainer of world, most

Gracious, most Merciful Lord. Praise be to Allah for enabling me to complete this

analysis and research for Electromagnetic Band Gap (EBG) structure project and

report for my final year project.

First and foremost, I would like to express my heartily gratitude to my

supervisor, Mr. Mohamad Zoinol Abidin Bin Abd. Aziz for giving the guidance and

enthusiasm throughout the progress of this project.

My appreciation also goes to my family who has been so tolerant and

supports me all these years. Thanks for their encouragement, love and emotional

supports that they had given to me.

Nevertheless, my great appreciation dedicated to my entire friend for

supporting me steadfastly and their appreciated advice through my final year project

completion.

Page 6: ELECTROMAGNETIC BAND GAP (EBG) STRUCTURE NIK …eprints.utem.edu.my/6119/1/Electromagnetic_Band_Gap... · Struktur „EBG‟ ialah ... 2-D multiperiod EBG with a longer transmission

vii

ABSTRACT

In antenna design, there are surface waves that cannot propagate along the

substrate. An increase amount of radiated power couples to space waves reducing

antenna losses while increasing its gain and bandwidth. The Electromagnetic Band

Gap (EBG) structures are periodic structures in which propagation of

electromagnetic waves is not allowed in a specified frequency band. In this project,

EBG structure had been designed in order to apply in antenna design to suppress

surfaces waves and improve the radiation performance of the antenna. In designing

EBG structure, the method had been used is finite difference time domain (FDTD).

This EBG is designed by using microstrip. Then, the simulation process is done by

using Computer Simulation Technology (CST). The purpose to simulate the design is

to analyze antenna parameters, such as return loss, gain, radiation pattern and others.

Various types and shapes of EBG structures had been designed such as circular,

square and triangular EBG structures. Each shape is designed in two different

conditions, such as EBG structures on same and different layer with microstrip patch

antenna. From these designs, five EBG structures circuits were fabricated with

different layer with microstrip patch antenna. Simulations and measurements show

that EBG structure can achieve the lower return loss (<-10dB) compared to a

microstrip without EBG structure.

Page 7: ELECTROMAGNETIC BAND GAP (EBG) STRUCTURE NIK …eprints.utem.edu.my/6119/1/Electromagnetic_Band_Gap... · Struktur „EBG‟ ialah ... 2-D multiperiod EBG with a longer transmission

viii

ABSTRAK

Projek yang akan direka ialah struktur „Electromagnetic Band Gap (EBG)‟.

Struktur „EBG‟ ialah struktur yang berkala di mana penyebaran gelombang

elektromagnetik tidak dibenarkan dalam jalur frekuensi yang khusus. Jadi, untuk

melaksanakan projek ini, struktur „EBG‟ akan direka untuk diaplikasikan dalam reka

bentuk antenna, di mana rekaan ini akan membantu menahan gelombang permukaan

dan meningkatkan persembahan radiasi antena. Dalam projek ini, struktur EBG telah

direka dalam perintah bagi memohon dalam reka bentuk antena untuk menumpas

permukaan-permukaan gelombang-gelombang dan meningkatkan sinaran prestasi

antena. Dalam mereka struktur EBG, kaedah yang telah digunakan adalah domain

masa beza terhingga (FDTD). EBG ini telah direkabentuk menggunakan mikrostrip.

Kemudian, untuk menjalankan projek ini, proses simulasi adalah dibuat dengan

menggunakan Computer Simulation Technology (CST). Tujuan untuk mensimulasi

reka bentuk adalah bagi menganalisa antena parameter, seperti kehilangan balikan,

pertambahan, pola sinaran dan lain-lain. Bermacam-macam jenis dan bentuk-bentuk

bagi struktur-struktur EBG telah direka seperti bulat, empat segi dan segitiga. Tiap-

tiap satu rupabentuk adalah direka dalam dua keadaan yang berbeza, seperti struktur-

struktur EBG pada lapisan sama dan berbeza dengan mikrostrip antena. Daripada

rekaan-rekaan ini, lima struktur-struktur EBG litar-litar direka dengan lapisan

berbeza dengan mikrostrip antenna. Keputusan simulasi dan pengukuran struktur

EBG boleh mencapai kehilangan balikan lebih rendah (<-10dB) disamakan ke satu

mikrostrip tanpa struktur EBG.

Page 8: ELECTROMAGNETIC BAND GAP (EBG) STRUCTURE NIK …eprints.utem.edu.my/6119/1/Electromagnetic_Band_Gap... · Struktur „EBG‟ ialah ... 2-D multiperiod EBG with a longer transmission

ix

TABLE OF CONTENT

CHAP.

I

TITLE

PROJECT TITLE

THESIS STATUS DECLARATION

RESEARCHER’S DECLARATION

SUPERVISOR’S DECLARATION

DEDICATION

ACKNOWLEDGEMENT

ABSTRACT

ABSTRAK

TABLE OF CONTENTS

LIST OF TABLES

LIST OF FIGURES

LIST OF ABBREVIATIONS

LIST OF APPENDICES

INTRODUCTION

1.1 Project Background

1.2 Objectives

1.3 Problem Statement

PAGE

i

ii

iii

iv

v

vi

vii

viii

ix

xii

xiii

xvi

xviii

1

2

2

Page 9: ELECTROMAGNETIC BAND GAP (EBG) STRUCTURE NIK …eprints.utem.edu.my/6119/1/Electromagnetic_Band_Gap... · Struktur „EBG‟ ialah ... 2-D multiperiod EBG with a longer transmission

x

II

III

IV

1.4 Scope Of Work

LITERATURE REVIEW

2.1 Surface Wave

2.2 Introduction EBG Structure

2.3 Method used to analyze the features of EBG structures

2.3.1 Lumped Element Model

2.3.2 Periodic Transmission Line Method

2.3.3 Full Wave Numerical Methods

2.4 Basic Parameters of Antennas

2.5 Multiperiod EBG Design

2.6 Microstrip Patch Antenna

2.6.1 Microstrip Line Feed

MULTIPERIOD EBG STRUCTURE DESIGN

3.1 Microstrip Patch Design

3.2 EBG structure Design

3.2.1 Circular EBG structure design

3.2.2 Square EBG structure design

3.2.3 Triangular EBG structure design

3.3 Fabrication

RESULT ANALYSIS AND DISCUSSION

4.1 MIcrostrip Patch Antenna

4.2 Different Shapes

4.2.1 Circular EBG structure on Same Layer with

Microstrip Patch Antenna

3

4

5

9

9

10

10

12

13

15

18

21

22

22

27

31

33

36

40

40

Page 10: ELECTROMAGNETIC BAND GAP (EBG) STRUCTURE NIK …eprints.utem.edu.my/6119/1/Electromagnetic_Band_Gap... · Struktur „EBG‟ ialah ... 2-D multiperiod EBG with a longer transmission

xi

V

4.2.2 Circular EBG structure on Different Layer with

Microstrip Patch Antenna

4.2.3 Square EBG structure on Same Layer with

Microstrip Patch Antenna

4.2.4 Square EBG structure on Different Layer with

Microstrip Patch Antenna

4.2.5 Triangular EBG structure on Same Layer with

Microstrip Patch Antenna

4.2.6 Triangular EBG structure on Different Layer with

Microstrip Patch Antenna

4.3 Comparison for three types of EBG structure

CONCLUSIONS AND RECOMMENDATIONS

5.1 Conclusions

5.2 Recommendation

REFERENCES

APPENDIX A

43

52

53

57

58

60

62

63

64

67

Page 11: ELECTROMAGNETIC BAND GAP (EBG) STRUCTURE NIK …eprints.utem.edu.my/6119/1/Electromagnetic_Band_Gap... · Struktur „EBG‟ ialah ... 2-D multiperiod EBG with a longer transmission

xii

LIST OF TABLES

TABLE

4.1

4.2

4.3

4.4

4.5

4.6

4.7

4.8

4.9

4.10

4.11

4.12

4.13

4.14

4.15

TITLE

Parameters value for rectangular patch

Optimization radius of circle lattices

Optimization radius of circle lattices with gap

Optimization radius of circle lattices with via

Optimization radius of circle lattices with gap and via

Optimization radius of circle lattices

Optimization radius of circle lattices with gap

Optimization radius of circle lattices with via

Optimization radius of circle lattices with gap and via

Optimization radius of square lattices

Optimization radius of square lattices with via

Optimization radius of square lattices

Optimization radius of square lattices with via

Optimization radius of triangular lattices

Parameters of triangular lattices

PAGES

39

40

41

41

42

45

47

49

50

52

53

54

57

58

59

Page 12: ELECTROMAGNETIC BAND GAP (EBG) STRUCTURE NIK …eprints.utem.edu.my/6119/1/Electromagnetic_Band_Gap... · Struktur „EBG‟ ialah ... 2-D multiperiod EBG with a longer transmission

xiii

LIST OF FIGURES

FIGURE

2.1

2.2

2.3

2.4

2.5

2.6

2.7

2.8

2.9

2.10

2.11

2.12

3.1

3.2

3.3

3.4

TITLE

Surface waves lead to multipath

EBG substrate for surface wave suppression: low mutual

coupling microstrip array design

EBG substrate for a low profile curl antenna design

Lumped LC model for EBG analysis

Periodic transmission line method for EBG analysis

Full wave FDTD model for EBG analysis

1-D multiperiod EBG structure with 8 lattice cells

2-D multiperiod EBG with a longer transmission line folded

back on itself

Microstrip patch antenna with 2-D multiperiod EBG structure

ground plane

Structure of a microstrip patch antenna

A rectangular patch

Microstrip line feed

A rectangular patch with microstrip feed line

Tree diagram of circular EBG structure design

EBG structure with circular lattices

EBG structure with circular lattices with gap. Gap = 0.5mm

PAGES

5

7

8

9

10

11

14

14

15

15

17

18

21

22

23

24

Page 13: ELECTROMAGNETIC BAND GAP (EBG) STRUCTURE NIK …eprints.utem.edu.my/6119/1/Electromagnetic_Band_Gap... · Struktur „EBG‟ ialah ... 2-D multiperiod EBG with a longer transmission

xiv

3.5

3.6

3.7

3.8

3.9

3.10

3.11

3.12

3.13

3.14

3.15

3.16

3.17

3.18

4.1

4.2

4.3

4.4

4.5

4.6

4.7

4.8

4.9

4.10

EBG structure with circular lattices with via. (Via; r = 0.5mm,

ℓ= 3.27mm )

EBG structure with circular lattices with gap + via. (Gap =

0.5mm, Via; r = 0.5mm, ℓ= 3.27mm )

Various types of circular EBG structure

Tree diagram of square EBG structure design

EBG structure with square lattices on second substrate

EBG structure with square lattices on second substrate. (Via; r

= 0.5mm, ℓ= 3.27mm )

Various types of circular EBG structure

Tree diagram of Triangular EBG structure design

EBG structure with triangular lattices

A rectangular patch antenna

Circular EBG structure

Circular EBG structure with gap

Square EBG structure

Triangular EBG structure

A rectangular patch with microstrip feed line

Return loss for rectangular patch

Simulation and measurement radiation pattern for H-H Plane

of rectangular patch

Simulation and measurement radiation pattern for E-E Plane

of rectangular patch

Comparison of return loss for different type of circular EBG

structure

Comparison of return loss for different type of circular EBG

structure with microstrip without EBG structure

EBG structure with circular lattices

Simulated and measured return losses for circular EBG

structure

Simulation and measurement radiation pattern for H-H Plane

of circular EBG structure. (r = 3mm)

Simulation and measurement radiation pattern for E-E Plane

24

25

26

27

28

29

30

31

32

33

34

34

35

35

37

38

38

38

42

43

44

44

45

46

Page 14: ELECTROMAGNETIC BAND GAP (EBG) STRUCTURE NIK …eprints.utem.edu.my/6119/1/Electromagnetic_Band_Gap... · Struktur „EBG‟ ialah ... 2-D multiperiod EBG with a longer transmission

xv

4.11

4.12

4.13

4.14

4.15

4.16

4.17

4.18

4.19

4.20

4.21

4.22

4.23

4.24

4.25

4.26

4.27

4.28

4.29

of circular EBG structure. (r = 3mm)

EBG structure with circular lattices. Gap = 0.5mm

Return losses for circular EBG structure with gap

Simulation and measurement radiation pattern for E-E Plane

of circular EBG structure with gap (r = 3mm)

Simulation and measurement radiation pattern for H-H Plane

of circular EBG structure. with gap (r = 3mm)

EBG structure with circular lattices. (Via; r = 0.5mm, ℓ=

3.27mm )

EBG structure with circular lattices on second substrate. (Gap

= 0.5mm, Via; r = 0.5mm, ℓ= 3.27mm )

Comparison between microstrip without EBG and circle

EBG structure with square lattices on second substrate.

Return losses for square EBG structure with different size of

radius

Return losses for square EBG structure

Simulation and measurement radiation pattern for E-E Plane

of square lattices EBG structure

Simulation and measurement radiation pattern for H-H Plane

of square lattices EBG structure

EBG structure with square lattices. (Via; r = 0.5mm, ℓ=

3.27mm )

Comparison between microstrip without EBG and square

EBG structure with triangular lattices

Return loss for triangular EBG structure

Simulation and measurement radiation pattern for H-H Plane

of triangular lattices EBG structure

Simulation and measurement radiation pattern for E-E Plane

of triangular lattices EBG structure.

Comparison between microstrip without EBG and triangular

46

47

48

48

49

50

51

53

53

54

55

55

56

57

57

58

59

59

60

Page 15: ELECTROMAGNETIC BAND GAP (EBG) STRUCTURE NIK …eprints.utem.edu.my/6119/1/Electromagnetic_Band_Gap... · Struktur „EBG‟ ialah ... 2-D multiperiod EBG with a longer transmission

xvi

LIST OF ABBREVIATION

EBG - Electromagnetic Band Gap

CST - Computer Simulation Technology

FR4 - Flame Retardant 4

FDTD - Finite Difference Time Domain

IEEE

EM

GPS

PEC

MTL

MoM

FEM

L

C

Zp

Xc

Z0

a1

a2

L

W

-

-

-

-

-

-

-

-

-

-

-

-

-

-

-

-

Electrical and Electronics Engineers

Electromagnetic

Global Positioning System

Potential Equalization Clamp

Multi Transmission Line

Method of Moments

Finite Element Method

Inductance

Capacitor

Impedance for each periodic element

Coupling capacitor

Initial impedance

Period of lattice

Period of lattice

Length

Width

Page 16: ELECTROMAGNETIC BAND GAP (EBG) STRUCTURE NIK …eprints.utem.edu.my/6119/1/Electromagnetic_Band_Gap... · Struktur „EBG‟ ialah ... 2-D multiperiod EBG with a longer transmission

xvii

c

f0

ℇr

ℇeff

Leff

△L

h

d

r

-

-

-

-

-

-

-

-

-

-

Speed of light

Resonant frequency

Dielectric substrate

Effective dielectric constant

Effective length

Length extension

Height

Thickness

Length

Radius of lattice

Page 17: ELECTROMAGNETIC BAND GAP (EBG) STRUCTURE NIK …eprints.utem.edu.my/6119/1/Electromagnetic_Band_Gap... · Struktur „EBG‟ ialah ... 2-D multiperiod EBG with a longer transmission

xviii

LIST OF APPENDICES

NO TITLE PAGE

A Radiation Pattern for EBG structure 67

Page 18: ELECTROMAGNETIC BAND GAP (EBG) STRUCTURE NIK …eprints.utem.edu.my/6119/1/Electromagnetic_Band_Gap... · Struktur „EBG‟ ialah ... 2-D multiperiod EBG with a longer transmission

CHAPTER I

INTRODUCTION

1.1 Project Background

The Electromagnetic Band Gap (EBG) terminology has been suggested based

on the photonic band-gap (PBG) phenomena in optics that are realized by periodical

structures The EBG materials provide frequency bands or also can called bandgaps

or stopbands inside which waves cannot propagate in the materials [1].

Electromagnetic Band Gap (EBG) structure is known as objects that prevent the

propagation of the electromagnetic waves in a specified band of frequency for all

angles and for all polarization state.

Page 19: ELECTROMAGNETIC BAND GAP (EBG) STRUCTURE NIK …eprints.utem.edu.my/6119/1/Electromagnetic_Band_Gap... · Struktur „EBG‟ ialah ... 2-D multiperiod EBG with a longer transmission

2

Surface wave is a mechanical wave that propagates along the interface

between differing media, usually two fluids with different densities. A surface wave

can also be an electromagnetic wave guided by a refractive index gradient.

1.2 Objective

The objectives of this project are to design an EBG structure that can

suppress surface waves and improve the radiation performance of the antenna. The

lower return loss (S11) will be obtained by suitable lattices of EBG structure. Then

the performance of the antenna will be measure based on its return loss, and radiation

pattern.

1.3 Problem Statement

In antenna design, there are surface waves that cannot propagate along the

substrate. An increase amount of radiated power couples to space waves reducing

antenna losses while increasing its gain and bandwidth. The EBG structures are

designed to suppress surface waves and improve the radiation performance of the

antenna [2].

Page 20: ELECTROMAGNETIC BAND GAP (EBG) STRUCTURE NIK …eprints.utem.edu.my/6119/1/Electromagnetic_Band_Gap... · Struktur „EBG‟ ialah ... 2-D multiperiod EBG with a longer transmission

3

1.4 Scope of Work

The EBG structure is designed for different shapes, such as circular, square

and triangular by using microstrip technique and method of finite difference time

domain (FDTD) for antenna application [3]. Computer Simulation Technology

(CST) is used to carry out the value of return loss, radiation pattern, gain, directivity

and others parameters value of EBG structure. Then, the EBG structure circuit is

fabricated on flame retardant 4 (FR4) board by using chemical etching technique.

After that, network analyzer is used in order to measure the value of return loss at the

resonant frequency. The value of gain and radiation pattern is also measured by using

spectrum analyzer.

Page 21: ELECTROMAGNETIC BAND GAP (EBG) STRUCTURE NIK …eprints.utem.edu.my/6119/1/Electromagnetic_Band_Gap... · Struktur „EBG‟ ialah ... 2-D multiperiod EBG with a longer transmission

CHAPTER II

LITERATURE REVIEW

In this chapter, the literature reviews that had been researched are studied to

understand more about Electromagnetic Band Gap (EBG) structure, and how to

design it. The literature reviews that had been reviewed are closely related to the

project.

2.1 Surface Wave

A surface wave is one that propagates along an interface between two

different media without radiation, such radiation being construed to mean energy

converted from the surface wave field to some other form [5].In surface waves, there

have electric and magnetic field components, which is excited by different sources.

Page 22: ELECTROMAGNETIC BAND GAP (EBG) STRUCTURE NIK …eprints.utem.edu.my/6119/1/Electromagnetic_Band_Gap... · Struktur „EBG‟ ialah ... 2-D multiperiod EBG with a longer transmission

5

In order to suppress surface wave propagation, there were some techniques

which can be use, such as special antenna designs, micromachining the substrate and

employing electromagnetic band gap structure. The lack of availability of direct

methods for investigating surface waves is becomes a problem in solving the

suppression surface wave [6].

Figure 2.1 Surface waves lead to multipath [4]

2.2 Introduction EBG structure

In current years, there have many researches that have been done in growing

interest on (EBG) structures. In solid state physics and related applied fields, a band

gap, also called an energy gap or band gap, is an energy range in a solid where no

electron states exist.

In electromagnetic band gap, the electromagnetic waves (EM) are

transmitted. This transmission is occurred in a frequency range, which called

forbidden frequency range or stop band [7]. According to the slow wave effect, EBG

Page 23: ELECTROMAGNETIC BAND GAP (EBG) STRUCTURE NIK …eprints.utem.edu.my/6119/1/Electromagnetic_Band_Gap... · Struktur „EBG‟ ialah ... 2-D multiperiod EBG with a longer transmission

6

structures have their own property of reducing the phase velocity of EM modes,

based on the frequencies near their band gap [8].

These structures have paying attention on a great deal of interest among

researches due to their ability to influence the propagation of electromagnetic waves.

The unique electromagnetic properties of EBG structures have led to a wide range of

applications in antenna engineering. This section summarizes several typical EBG

applications in antenna designs in the hope of stimulating discussions and new

avenues of research in this area.

Surface waves are by-products in many antenna designs. Directing

electromagnetic wave propagation along the ground plane instead of radiation into

free space, the surface waves reduce the antenna efficiency and gain. The diffraction

of surface waves increases the back lobe radiations, which may deteriorate the signal

to noise ratio in wireless communication systems such as Global Positioning System

(GPS) receivers. In addition, surface waves raise the mutual coupling levels in array

designs, resulting in the blind scanning angles in phased array systems. The band gap

feature of EBG structures has found useful applications in suppressing the surface

waves in various antenna designs. For example, an EBG structure is used to surround

a microstrip antenna to increase the antenna gain and reduce the back lobe. In

addition, it is used to replace the quarter-wavelength choke rings in GPS antenna

designs. Many array antennas also integrate EBG structures to reduce the mutual

coupling level [9].

Page 24: ELECTROMAGNETIC BAND GAP (EBG) STRUCTURE NIK …eprints.utem.edu.my/6119/1/Electromagnetic_Band_Gap... · Struktur „EBG‟ ialah ... 2-D multiperiod EBG with a longer transmission

7

Figure 2.2 EBG substrate for surface wave suppressions: low mutual coupling

microstrip array design [9].

Another favorable application of EBG is to design low profile wire antennas

with good radiation efficiency, which is desired in modern wireless communication

systems.

When an electric current is vertical to a Perfectly Electric Conducting (PEC)

ground plane, the image current has the same direction and reinforces the radiation

from the original current. Thus, this antenna has good radiation efficiency, but

suffers from relative large antenna height due to the vertical placement of the current.

To realize a low profile configuration, one may position a wire antenna horizontally

close to the ground plane.

However, the problem is the poor radiation efficiency because the opposite

image current cancels the radiation from the original current. In contrast, the EBG

surface is capable of providing a constructive image current within a certain