Antenna and EM Modeling with MATLAB Antenna Toolbox - Sergey N. Makarov - E-Book

Antenna and EM Modeling with MATLAB Antenna Toolbox E-Book

Sergey N. Makarov

0,0
117,99 €

-100%
Sammeln Sie Punkte in unserem Gutscheinprogramm und kaufen Sie E-Books und Hörbücher mit bis zu 100% Rabatt.

Mehr erfahren.
Beschreibung

ANTENNA AND EM MODELING WITH MATLAB ANTENNA TOOLBOX(TM) An essential text to MATLAB Antenna Toolbox(TM) as accessible and easy-to-use full-wave antenna modeling tool Antenna and EM Modeling with MATLAB Antenna Toolbox(TM) is a textbook on antennas intended for a one semester course. The core philosophy is to introduce the key antenna concepts and follow them up with full-wave modeling and optimization in the MATLAB Antenna Toolbox(TM). Such an approach will enable immediate testing of theoretical concepts by experimenting in software. It also provides the direct path to research work. The fundamental families of antennas -- dipoles, loops, patches, and traveling wave antennas -- are discussed in detail, together with the respective antenna arrays. Using antenna parameters such as impedance, reflection coefficient, efficiency, directivity, and gain, the reader is introduced to the different ways of understanding the performance of an antenna. Written for senior undergraduates, graduates as well as RF/Antenna engineers, Antenna and EM Modeling with Antenna Toolbox(TM) is a resource that: * Provides 14 video assisted laboratories on using Antenna Toolbox(TM) * Includes approximately 50 real-world examples in antenna and array design * Offers approximately 200 homework problems * Provides multiple ready-to-use standalone MATLAB¯® scripts

Sie lesen das E-Book in den Legimi-Apps auf:

Android
iOS
von Legimi
zertifizierten E-Readern

Seitenzahl: 400

Veröffentlichungsjahr: 2021

Bewertungen
0,0
0
0
0
0
0
Mehr Informationen
Mehr Informationen
Legimi prüft nicht, ob Rezensionen von Nutzern stammen, die den betreffenden Titel tatsächlich gekauft oder gelesen/gehört haben. Wir entfernen aber gefälschte Rezensionen.



Table of Contents

Cover

Title Page

Copyright Page

Dedication Page

Preface and Text Organization

List of Notations

About the Companion Website

CHAPTER 1: Antenna Circuit Model. Antenna Matching. Antenna Bandwidth

SECTION 1 LUMPED CIRCUIT MODEL OF AN ANTENNA. ANTENNA INPUT IMPEDANCE

1.1 ANTENNA CIRCUIT MODEL. ANTENNA LOSS

1.2 MAXIMUM POWER TRANSFER TO (AND FROM) ANTENNA

1.3 ANTENNA EFFICIENCY

1.4 ANTENNA INPUT IMPEDANCE AND IMPEDANCE MATCHING

1.5 POINT OF INTEREST: INPUT IMPEDANCE OF A DIPOLE ANTENNA AND ITS DEPENDENCE ON DIPOLE LENGTH

1.6 BEYOND THE FIRST RESONANCE

1.7 NUMERICAL MODELING

REFERENCES

PROBLEMS

SECTION 2 ANTENNA WITH TRANSMISSION LINE. ANTENNA REFLECTION COEFFICIENT. ANTENNA MATCHING. VSWR

1.8 ANTENNA REFLECTION COEFFICIENT FOR A LUMPED CIRCUIT

1.9 ANTENNA REFLECTION COEFFICIENT WITH A FEEDING TRANSMISSION LINE

1.10 ANTENNA IMPEDANCE TRANSFORMATION. ANTENNA MATCH VIA TRANSMISSION LINE

1.11 REFLECTION COEFFICIENT EXPRESSED IN DECIBELS AND ANTENNA BANDWIDTH

1.12 VSWR OF THE ANTENNA

REFERENCES

PROBLEMS

CHAPTER 2: Receiving Antenna

SECTION 1 ANALYTICAL MODEL FOR THE RECEIVING ANTENNA

2.1 MODEL OF THE RECEIVING ANTENNA AND ITS DISCUSSION

2.2 FINDING CURRENT OF A RECEIVE DIPOLE

2.3 FINDING

V

OC

OF A RECEIVE DIPOLE.

INDUCED EMF

METHOD. SMALL ANTENNAS RECEIVE MUCH LESS POWER

2.4 EXPRESSING

V

OC

OF A RECEIVE DIPOLE IN TERMS OF TRANSMITTER PARAMETERS

2.5 VOLTAGE AND POWER TRANSFER FUNCTIONS

REFERENCES

PROBLEMS

SECTION 2 MODEL OF A TWO‐PORT NETWORK FOR TX/RX ANTENNAS

2.6 IMPEDANCE MATRIX (MUTUAL IMPEDANCE) APPROACH TO THE ANTENNA‐TO‐ANTENNA LINK

2.7 TRANSFER FUNCTION IN TERMS OF VOLTAGE ACROSS THE TX ANTENNA

2.8 SCATTERING MATRIX APPROACH (TRANSMISSION COEFFICIENT)

2.9 POWER TRANSFER FUNCTION

2.10 MUTUAL IMPEDANCE OF TWO DIPOLES

2.11 TWO‐PORT NETWORK ANTENNA MODEL IN MATLAB ANTENNA TOOLBOX

REFERENCES

PROBLEMS

CHAPTER 3: Antenna Radiation

ECTION 1 MAXWELL EQUATIONS AND BOUNDARY CONDITIONS

3.1 MAXWELL'S EQUATIONS

3.2 BOUNDARY CONDITIONS

3.3 ABOUT ELECTROSTATIC, MAGNETOSTATIC, AND DIRECT CURRENT APPROXIMATIONS

3.4 ANALYTICAL SOLUTION TO MAXWELL'S EQUATIONS IN TIME DOMAIN. PLANE WAVES

REFERENCES

PROBLEMS

SECTION 2 SOLUTION FOR MAXWELL'S EQUATIONS IN TERMS OF ELECTRIC AND MAGNETIC POTENTIALS

3.5 MAGNETIC VECTOR POTENTIAL AND ELECTRIC SCALAR POTENTIAL

3.6 COMPARISON WITH THE STATIC CASE. COULOMB GAUGE

3.7 EQUATIONS FOR POTENTIALS. LORENTZ GAUGE

3.8 WAVE EQUATIONS IN FREQUENCY DOMAIN

3.9 SOLUTION FOR MAXWELL'S EQUATIONS IN FREQUENCY DOMAIN

REFERENCES

PROBLEMS

SECTION 3 ANTENNA RADIATION

3.10 RADIATION OF A SMALL UNIFORM CURRENT ELEMENT (

l

A

 << 

λ

) [1]

3.11 NEAR‐ AND FAR‐FIELD REGIONS FOR A SMALL ANTENNA

3.12 RADIATION OF A DIPOLE WITH THE SINUSOIDAL CURRENT DISTRIBUTION

REFERENCES

PROBLEMS

SECTION 4 ANTENNA DIRECTIVITY AND GAIN

3.13 ANTENNA DIRECTIVITY

3.14 ANTENNA GAIN AND REALIZED GAIN

3.15 ANTENNA EFFECTIVE APERTURE – RECEIVING ANTENNA AS A POWER COLLECTOR

3.16 FRIIS TRANSMISSION EQUATION [1]

REFERENCES

PROBLEMS

CHAPTER 4: Antenna Balun. Antenna Reflector. Method of Images

SECTION 1 ANTENNA BALUN

4.1 DIPOLE FEED IN NUMERICAL SIMULATIONS

4.2 ANTENNA BALUN

4.3 SPLIT‐COAXIAL BALUN

4.4 DYSON BALUN

4.5 CENTRAL TAP TRANSFORMER AS THE DYSON BALUN

4.6 ANTENNA IMPEDANCE TRANSFORMATION

4.7 A QUICK SOLUTION

4.8 END‐OF‐SECTION STORY

REFERENCES

PROBLEMS

SECTION 2 ANTENNA REFLECTOR

4.9 GROUND PLANE FOR AN ELECTRIC DIPOLE. THE

λ

/4‐RULE

4.10 METHOD OF IMAGES

4.11 EFFECT OF GROUND PLANE ON ANTENNA IMPEDANCE

4.12 EFFECT OF GROUND PLANE ON THE RADIATION PATTERN

4.13 EXTENSIONS OF THE IMAGE METHOD: CORNER REFLECTOR

4.14 FINITE GROUND PLANE – GEOMETRICAL OPTICS

4.15 FRONT‐TO‐BACK RATIO

NOTES TO PROBLEMS OF THIS SECTION GIVEN BELOW

REFERENCES

PROBLEMS

CHAPTER 5: Dipole Antenna Family: Broadband Antennas that Operate as Dipoles at Low Frequencies

SECTION 1 BROADBAND DIPOLES AND MONOPOLES

5.1 DIPOLE. SUMMARY OF PREVIOUS RESULTS

5.2 MONOPOLE

5.3 BROADBAND (LARGE) DIPOLES

5.4 CANONIC DIPOLES AND THEIR PERFORMANCE

REFERENCE

PROBLEMS

SECTION 2 BICONICAL, WIDE BLADE, AND VIVALDI ANTENNAS

5.5 BICONICAL “DIPOLE” OR BICONICAL ANTENNA [2]

5.6 WIDE BLADE DIPOLE: TWO ANTENNAS IN ONE

5.7 BLADE DIPOLE WITH ONE RADIATING SLOT – VIVALDI ANTENNA

REFERENCES

PROBLEM

CHAPTER 6: Loop Antennas

SECTION 1 LOOP ANTENNA VS. DIPOLE ANTENNA

6.1 CONCEPT

6.2 ANALYTICAL RESULTS

6.3 FULL‐WAVE SIMULATION RESULTS

6.4 WHY LOOP ANTENNA?

REFERENCES

PROBLEMS

CHAPTER 7: Small Antennas

SECTION 1 FUNDAMENTAL LIMITS ON ANTENNA BANDWIDTH

7.1 ANTENNA SIZE ESTIMATE

7.2 BANDWIDTH OF A SMALL ANTENNA

7.3 FUNDAMENTAL LIMITS ON THE BANDWIDTH OF A SMALL ANTENNA [1–6]

7.4 ONE HIDDEN PROBLEM WITH A SMALL ANTENNA

REFERENCES

PROBLEMS

SECTION 2 PRACTICAL ANTENNA MATCHING AND TUNING FOR A PREDEFINED (50 Ω) IMPEDANCE

7.5 DOUBLE TUNING – INDUCTIVE (SMALL LOOP) ANTENNA

7.6 DOUBLE TUNING – CAPACITIVE (SMALL DIPOLE OR MONOPOLE) ANTENNA

REFERENCES

PROBLEMS

CHAPTER 8: Patch and PIFA Antennas

SECTION 1 PATCH ANTENNAS

8.1 CONCEPT

8.2 FIELDS

8.3 CAD FORMULAS FOR PATCH ANTENNA

8.4 CAD FORMULAS FOR THE PATCH ANTENNA EFFICIENCY

8.5 PATCH ANTENNA EXAMPLE: CROSS‐POLARIZATION AND NEAR FIELDS

RADIATION PATTERN – CO‐POLAR AND CROSS‐POLAR COMPONENTS. POLARIZATION ISOLATION

8.6 PATCH ANTENNA FAMILY

REFERENCES

PROBLEMS

SECTION 2 PLANAR INVERTED F (PIFA) ANTENNA. BANDWIDTH ESTIMATIONS

8.7 CONCEPT

8.8 PIFA TYPES. BEHAVIOR OF INPUT IMPEDANCE

8.9 PIFA MODELING

8.10 BANDWIDTH RESULTS

8.11 COMPARISON WITH OTHER DATA

8.12 SUMMARY

REFERENCES

PROBLEMS

CHAPTER 9: Traveling Wave Antennas

SECTION 1 LONG WIRE ANTENNA AND YAGI‐UDA ANTENNA

9.1 CONCEPT

9.2 FEATURES AND MODELING

9.3 MODELING WITH ANTENNA TOOLBOX

9.4 YAGI‐UDA ANTENNA

9.5 TRAVELING WAVE FORMATION ALONG YAGI‐UDA ANTENNA

REFERENCES

PROBLEMS

SECTION 2 HELICAL AND SPIRAL ANTENNAS

9.6 HELICAL ANTENNA: NORMAL MODE OF OPERATION

9.7 HELICAL ANTENNA: AXIAL MODE OF OPERATION

9.8 MODELING WITH ANTENNA TOOLBOX

9.9 SPIRAL ANTENNA: ARCHIMEDEAN SPIRAL

9.10 MODELING WITH ANTENNA TOOLBOX

9.11 PRINCIPLE OF OPERATION

9.12 EQUIANGULAR SPIRAL ANTENNA

REFERENCES

PROBLEMS

CHAPTER 10: Antenna Designer Including Circularly Polarized Antennas

SECTION 1 FAST ANALYSIS AND DESIGN OF INDIVIDUAL ANTENNAS

10.1 ANTENNA DESIGNER

10.2 USING PRE‐OPTIMIZED ANTENNA GEOMETRY

10.3 PERFORMING GEOMETRY OPTIMIZATION ON THE FLY

10.4 DESIGN EXAMPLE

10.5 ANTENNA PRESELECTION FOR A GIVEN TASK

REFERENCE

PROBLEMS

SECTION 2 MEANING OF CIRCULAR POLARIZATION AND PROPER ANTENNA ORIENTATION

10.6 ANTENNA PHASE SHIFT OR DELAY

10.7 CIRCULARLY POLARIZED RX/TX ANTENNAS AND THEIR REQUIRED ORIENTATIONS IN SPACE

10.8 SEPARATION OF RADIATED FIELD INTO TWO CIRCULAR POLARIZATION COMPONENTS [1–3]

10.9 QUANTITATIVE MEASURES OF CIRCULAR POLARIZATION

10.10 CIRCULARLY POLARIZED TURNSTILE ANTENNA

10.11 CIRCULARLY POLARIZED PATCH ANTENNA

REFERENCES

PROBLEMS

CHAPTER 11: Antenna Arrays

SECTION 1 ARRAY TYPES. ARRAY FACTOR. CONCEPT OF A SCANNING ARRAY

11.1 ARRAY TYPES

11.2 BASIC ARRAY OF TWO DIPOLES

11.3 ARRAY FACTOR FOR IDENTICAL RADIATORS

11.4 ARRAY RADIATED POWER AND ARRAY DIRECTIVITY

11.5 DIRECTIVITY OF THE ARRAY AND DIRECTIVITY OF THE ARRAY FACTOR

11.6 CONCEPT OF A SCANNING ARRAY

REFERENCES

PROBLEMS

SECTION 2 LINEAR ARRAYS

11.7 BROADSIDE LINEAR ARRAY

11.8 ARRAY AMPLITUDE TAPER

11.9 BINOMIAL BROADSIDE ARRAY

11.10 DOLPH‐CHEBYSHEV BROADSIDE ARRAY

11.11 ENDFIRE LINEAR ARRAY

11.12 HANSEN‐WOODYARD ENDFIRE ARRAY

11.13 LINEAR ARRAY FOR ARBITRARY SCAN ANGLES

11.14 SUPERDIRECTIVITY

REFERENCES

PROBLEMS

SECTION 3 PLANAR ARRAYS

11.15 THEORETICAL GAIN PATTERN OF A FINITE 2D ARRAY

11.16 DESIGN OF SMALL 2D ARRAYS: IMPEDANCE BANDWIDTH IMPROVEMENT AND DIRECTIVITY

11.17 CORPORATE SERIES FEED – WILKINSON POWER DIVIDERS

11.18 CORPORATE (PARALLEL) FEED

REFERENCES

PROBLEMS

Index

End User License Agreement

List of Tables

Preface and Text Organization

TABLE 1 Organization of printed matter, video laboratories, tutorials, and video...

Chapter 2

TABLE 2.1 Received open‐circuit voltages for different dipole lengths.

Chapter 4

TABLE 4.1 Some antenna types and balun necessity.

TABLE 4.2 Physical parameters of the dipole and the balun in Figure 4.4a,b op...

TABLE 4.3 Front‐to‐back ratio for the horizontal dipole as a function of the ...

Chapter 5

TABLE 5.1 Impedance parameters of the center‐fed wire or strip dipole.

Chapter 6

TABLE 6.1 Comparative Characteristics of Dipole and Loop Antennas.

Chapter 8

TABLE 8.1 Design Criteria for a Simple Patch Antenna Configuration.

TABLE 8.2 Resonant behavior of four PIFA antennas and optimal antenna width,

d

TABLE 8.3 Some UHF PIFA/patch RFID antennas in 915 MHz and 869 MHz bands. The...

Chapter 11

TABLE 11.1 Array weighting coefficients for the binomial taper.

TABLE 11.2 Array weighting coefficients for Chebyshev taper. The sidelobe lev...

List of Illustrations

Chapter 1

Figure 1.1 A generator (its Thévenin equivalent) connected to an antenna.

Figure 1.2 Average antenna power as a function of the antenna resistance for...

Figure 1.3 A generator (its Thévenin equivalent) connected to an antenna – t...

Figure 1.4 Dipole antenna for the evaluation of the reflection coefficient....

Figure 1.5 Dipole antenna impedance in the vicinity of its first (series) re...

Figure 1.6 Dipole antenna impedance in the vicinity of its first (series) re...

Figure 1.7 Equivalence of the TX circuits with and without the transmission ...

Figure 1.8 Magnitude of the reflection coefficient in dB for the dipole ante...

Figure 1.9 Reflection coefficient in dB (left) versus VSWR (right) for the s...

Chapter 2

Figure 2.1 Model of the receiving antenna with a voltage source.

Figure 2.2 Receiving antenna configuration for finding

V

OC

. Both the inciden...

Figure 2.3 Geometry of the antenna‐to‐antenna link. Both antennas may have d...

Figure 2.4 Power transfer function for two 15 cm long dipoles separated by 1...

Figure 2.5 A path between the transmitting and receiving antennas in the for...

Figure 2.6 Transformations of the two‐port antenna network in frequency doma...

Figure 2.7 Network transformation of the antenna‐to‐antenna link – the S‐mat...

Figure 2.8 (a) Creation of a TX/RX geometry in the MATLAB Antenna Toolbox us...

Chapter 3

Figure 3.1 Problem geometry for boundary conditions at a media interface.

Figure 3.2 Illustration of electrostatic and magnetostatic approximations.

Figure 3.3 Plane electromagnetic wave that propagates along the

x

‐axis.

Figure 3.4 Coordinate system and radiating configuration for a small current...

Figure 3.5 Plot of the ratio of the magnitudes of electric and magnetic fiel...

Figure 3.6 Coordinate system and radiating configuration for a finite dipole...

Figure 3.7 Dipole geometry for Pocklington integral equation.

Figure 3.8 Schematic distribution of the E‐ and H‐fields, and of the Poyntin...

Figure 3.9 Omnidirectional directivity pattern in decibel of a half‐wave dip...

Figure 3.10 Directivity pattern in decibel of a λ/2 half-wave dipole (solid ...

Figure 3.11 Antenna setup for Friis transmission equation. The antenna types...

Chapter 4

Figure 4.1 Base center‐fed cylindrical dipole.

Figure 4.2 (a and b) Appearance of undesired currents on the outer surface o...

Figure 4.3 (a) Split‐tube or split‐coaxial balun geometry, associated dimens...

Figure 4.4 (a) Dipole prototypes built with the split‐coaxial balun followin...

Figure 4.5 Dyson balun for (a) single‐polarization dipole antenna; (b) loop ...

Figure 4.6 A 180° power divider on the base of an ideal transformer.

Figure 4.7 Simplified center‐fed dipole model used for impedance computation...

Figure 4.8 A “Vivaldi” antenna element.

Figure 4.9 Concept of a reflecting (metal) ground plane.

Figure 4.10 Feed placement for a horn cavity.

Figure 4.11 (a) Method of images for a horizontal dipole above a ground plan...

Figure 4.12 Radiation geometry in spherical coordinates. The dipole offset f...

Figure 4.13 UHF corner‐reflector dipoles at 433 MHz.

Figure 4.14 (a) The corner reflector with corner angle of 90° – top view – a...

Figure 4.15 Geometrical optics approximation for a dipole above a finite gro...

Figure 4.16 Geometry for a half‐wave dipole with quarter wave separation. Th...

Figure 4.17 Radiation patterns of the dipole above a finite ground plane of ...

Figure 4.18 Geometry of a turnstile antenna.

Figure 4.19 Geometry of a vertical electric dipole above a ground plane.

Figure 4.20 Geometry of a vertical electric dipole between two metal walls....

Chapter 5

Figure 5.1 Center‐fed cylindrical dipole oriented along the

x

‐axis.

Figure 5.2 Examples of broadband dipoles. From left to right (and then from ...

Figure 5.3 Five representative dipole antenna configurations: thin dipole, a...

Figure 5.4 Biconical dipole geometry – the

xz

‐plane.

Figure 5.5 Impedance (radiation resistance) of a large biconical antenna as ...

Figure 5.6 Two biconical antenna configurations: a “slender” biconical dipol...

Figure 5.7 A wire‐wound biconical dipole.

Figure 5.8 Blade dipole – two antennas in one geometry setup.

Figure 5.9 Blade dipole with one radiating slot – two antennas in one setup ...

Figure 5.10 VSWR of the antenna in Figure 5.9 and its broadside gain.

Figure 5.11 Double blade dipole with a Vivaldi slot directly matched to 50 Ω...

Figure 5.12 VSWR of the antenna in Figure 5.11 and its broadside gain along ...

Figure 5.13 Other shapes of broadband dipoles combining the dipole and horn ...

Figure 5.14 Dipole antenna in the form of two disks.

Chapter 6

Figure 6.1 Loop antennas with the diameter of 11.5″ (thick copper wire with ...

Figure 6.2 (a) Small dipole of constant current

I

0

– (the derivation is give...

Figure 6.3 Directivity pattern of a quarter‐wave‐circumference loop versus t...

Figure 6.4 Directivity pattern of a quarter‐wave‐circumference loop (dashed ...

Figure 6.5 A 15 cm long dipole versus a 30 cm long loop to scale.

Figure 6.6 Input impedance of the 15 cm long dipole (Figure 6.6‐top) versus ...

Figure 6.7 Radiation patterns (total gain) of the loop antenna with the leng...

Chapter 7

Figure 7.1 TX circuit with a small antenna.

Figure 7.2 Half‐power small‐antenna bandwidth and its approximation.

Figure 7.3 A base sphere surrounding a small antenna.

Figure 7.4 Commercial printed flexible dipole antenna “Taoglas 433 MHz.” The...

Figure 7.5 Reflection coefficient (called return loss here) for printed flex...

Figure 7.6 Antenna metal foil – the printed dipole – modeled in Ansys HFSS....

Figure 7.7 Reflection coefficient

Γ

of the printed dipole versus 50 Ω a...

Figure 7.8 Double tuning the loop antenna in the TX or RX mode.

Figure 7.9 Double tuning a small monopole antenna in the TX mode. The dipole...

Chapter 8

Figure 8.1 A metal patch antenna as a

λ

g

/2 open–open section on the bas...

Figure 8.2 Left – Fields, charges, and currents for the simplified patch ant...

Figure 8.3 Patch antenna geometry for linear polarization: (a) with a micros...

Figure 8.4 Rectangular‐patch antenna at 2.37 GHz on a low‐epsilon RT/duroid®...

Figure 8.5 (a) Surface mesh for a patch antenna. (b) Tetrahedral volume mesh...

Figure 8.6 Input impedance curves for the patch antenna shown in Figure 8.4....

Figure 8.7 Total directivity for the patch antenna shown in Figure 8.4 at re...

Figure 8.8 Directivity of the co‐polar and cross‐polar fields vs. elevation ...

Figure 8.9 Fields within the patch antenna at the resonant frequency. Top – ...

Figure 8.10 Top – free surface charge density on the metal surface. Light co...

Figure 8.11 First row – VHF/UHF downlink/uplink patch antennas at 146/437 MH...

Figure 8.12 Patch antenna geometry.

Figure 8.13 Patch antenna geometry.

Figure 8.14 Patch antenna geometry.

Figure 8.15 Three variations of PIFA: (a) Conventional PIFA. (b) PIFA with a...

Figure 8.16 Top – Four different base PIFA configurations: (a) PIFA with a n...

Figure 8.17 Half‐power antenna bandwidth vs. normalized antenna height for f...

Figure 8.18 Some literature data on the PIFA bandwidth. References [1–6] cor...

Chapter 9

Figure 9.1 Long wire antenna with a generator and a termination resistance (...

Figure 9.2 Geometry for computing radiation pattern of the long wire antenna...

Figure 9.3 Normalized directivity pattern of the long wire (“beverage”) ante...

Figure 9.4 Construction of Yagi‐Uda antenna.

Figure 9.5 (a) Small helical antenna connected to a passive RFID tag at 433 ...

Figure 9.6 Illustration of circularly polarized or rotating current (and fie...

Figure 9.7 Geometry of a two‐arm Archimedean spiral antenna and the band rad...

Chapter 10

Figure 10.1 Opening Antenna Designer app in MATLAB 2020a.

Figure 10.2 Set of available antenna topologies in MATLAB 2020a.

Figure 10.3 Geometry and simulation data for the PIFA radiator.

Figure 10.4 Input impedance for the default inverted‐F antenna configuration...

Figure 10.5 Three antenna candidates for the selected antenna task.

Figure 10.6 Asymmetry of the phase shifting operation in the TX/RX mode at t...

Figure 10.7 Operation of the RHCP antenna.

Figure 10.8 RHCP/LHCP antenna orientations and the corresponding transmissio...

Figure 10.9 Local coordinate system for explaining circular polarization.

Figure 10.10 Examples of circularly polarized antennas (turnstile dipoles). ...

Figure 10.11 A circularly polarized patch antenna with two separate feeds ex...

Chapter 11

Figure 11.1 A 4 GHz directional‐power 4 × 4 patch antenna array with the cor...

Figure 11.2 A 500 MHz–1 GHz directional‐power dipole antenna array with the ...

Figure 11.3 A 500 MHz–1 GHz directional‐power blade‐dipole

modular

antenna a...

Figure 11.4 A 500–750 MHz coaxial‐dipole antenna array with the independent ...

Figure 11.5 A small‐size scanning 920 MHz bowtie dipole array with dual line...

Figure 11.6 Radiation geometry of two dipoles in spherical coordinates. The ...

Figure 11.7 Broadside and endfire linear arrays.

Figure 11.8 Power ratio

at two different element spacings for the linear b...

Figure 11.9 A dipole array behavior (cross section) in a two‐dimensional spa...

Figure 11.10 (a) Directivity patterns of the array factor for the broadside ...

Figure 11.11 Directivity patterns of the array factor for the broadside arra...

Figure 11.12 Directivity patterns of the array factor for the broadside arra...

Figure 11.13 Directivity patterns of the array factor for the endfire array ...

Figure 11.14 Directivity patterns of the array factor for Hansen‐Woodyard ar...

Figure 11.15 (a,b) Directivity patterns of the array factor for the broadsid...

Figure 11.16 Planar array geometry and unit cell dimensions.

Figure 11.17 The array unit cell on the size of 240 × 240 mm.

Figure 11.18 Theory versus numerical simulations of an 8 × 8 array of dipole...

Figure 11.19 Theory (directivity of the array factor only) versus numerical ...

Figure 11.20 Top view of a unit cell consisting of a resonant dipole above a...

Figure 11.21 Reflection coefficient S

11

for the isolated unit cell comprisin...

Figure 11.22 The geometry for the 2 × 1, 3 × 1, 4 × 1, and 3 × 2 arrays is s...

Figure 11.23 The geometry for the 4 × 2, 2 × 2, 3 × 3 and 4 × 4 arrays is sh...

Figure 11.24 Corporate‐feeding network used for the 64‐element antenna array...

Figure 11.25 Simulated behavior of two (2 : 1, 4 : 1) series Wilkinson divid...

Figure 11.26 Example of the corporate feed for a 2 × 2 patch antenna array u...

Guide

Cover Page

Title Page

Copyright Page

Dedication Page

Preface and Text Organization

List of Notations

About the Companion Website

Table of Contents

Begin Reading

Index

Wiley End User License Agreement

Pages

iii

iv

v

ix

x

xi

xiii

xv

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

55

56

57

58

59

60

61

62

63

64

65

66

67

68

69

70

71

72

73

74

75

76

77

78

79

80

81

82

83

84

85

86

87

88

89

90

91

92

93

94

95

96

97

98

99

100

101

102

103

104

105

106

107

108

109

110

111

112

113

114

115

116

117

118

119

120

121

122

123

124

125

126

127

128

129

130

131

132

133

134

135

136

137

138

139

140

141

142

143

144

145

146

147

148

149

150

151

152

153

154

155

171

197

198

199

200

201

202

203

204

205

206

207

208

209

210

211

212

213

214

215

216

217

218

219

220

221

222

223

224

225

226

227

228

229

230

231

232

233

234

235

236

237

238

239

240

241

243

244

245

246

247

248

249

251

252

253

254

255

256

257

258

259

261

262

263

264

265

266

267

268

269

271

272

273

274

275

276

277

278

279

280

281

282

283

284

285

286

287

288

289

290

291

292

293

294

295

296

297

298

299

300

301

302

303

304

305

306

307

308

309

310

311

312

313

314

315

316

317

318

319

320

ANTENNA AND EM MODELING WITH MATLAB® ANTENNA TOOLBOX

SECOND EDITION

Dr. Sergey N. Makarov

Worcester Polytechnic InstituteWorcester, MA, USA

Dr. Vishwanath Iyer

MathWorks, Inc.Sherborn, MA, USA

Dr. Shashank Kulkarni

MathWorks, Inc.Khajaguda, Hyderabad, India

Dr. Steven R. Best

MegaWave, LLCWorcester, MA, USA

This second edition first published 2021© 2021 John Wiley & Sons, Inc.

Edition HistoryFirst Edition: © John Wiley and Sons, Inc., New York, 2002

All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, except as permitted by law. Advice on how to obtain permission to reuse material from this title is available at http://www.wiley.com/go/permissions.

The right of Dr. Sergey N. Makarov, Dr. Vishwanath Iyer, Dr. Shashank Kulkarni, and Dr. Steven R. Best to be identified as the authors of this work has been asserted in accordance with law.

Registered OfficeJohn Wiley & Sons, Inc., 111 River Street, Hoboken, NJ 07030, USA

Editorial Office111 River Street, Hoboken, NJ 07030, USA

For details of our global editorial offices, customer services, and more information about Wiley products visit us at www.wiley.com.

Wiley also publishes its books in a variety of electronic formats and by print‐on‐demand. Some content that appears in standard print versions of this book may not be available in other formats.

Limit of Liability/Disclaimer of WarrantyMATLAB® is a trademark of The MathWorks, Inc. and is used with permission. The MathWorks does not warrant the accuracy of the text or exercises in this book. This work’s use or discussion of MATLAB® software or related products does not constitute endorsement or sponsorship by The MathWorks of a particular pedagogical approach or particular use of the MATLAB® software. While the publisher and authors have used their best efforts in preparing this work, they make no representations or warranties with respect to the accuracy or completeness of the contents of this work and specifically disclaim all warranties, including without limitation any implied warranties of merchantability or fitness for a particular purpose. No warranty may be created or extended by sales representatives, written sales materials or promotional statements for this work. The fact that an organization, website, or product is referred to in this work as a citation and/or potential source of further information does not mean that the publisher and authors endorse the information or services the organization, website, or product may provide or recommendations it may make. This work is sold with the understanding that the publisher is not engaged in rendering professional services. The advice and strategies contained herein may not be suitable for your situation. You should consult with a specialist where appropriate. Further, readers should be aware that websites listed in this work may have changed or disappeared between when this work was written and when it is read. Neither the publisher nor authors shall be liable for any loss of profit or any other commercial damages, including but not limited to special, incidental, consequential, or other damages.

Library of Congress Cataloging‐in‐Publication Data applied for:

ISBN: 9781119693697

Cover design by WileyCover image: © Andrey Suslov/Shutterstock, sovika/iStock/Getty Images

To our children

Preface and Text Organization

The first edition of this book and the subsequent work of coauthors resulted in MATLAB® Antenna Toolbox™ – a dedicated learning and research software tool for major antenna and array types. Internally, the toolbox uses the Method of Moments (the method of integral equation) for modeling metal and metal‐dielectric antennas. Rao–Wilton–Glisson basis functions on triangular facets are used for the metal parts and edge basis functions on tetrahedra are used for the dielectric parts. Accurate semi‐analytical calculation of near‐field interactions between neighbors facets and tetrahedra assures good solution accuracy.

The Antenna Toolbox has a relatively flexible 2.5D CAD geometry generator and it has an option to import an arbitrary surface antenna or an antenna platform mesh. In addition to multiple programmatic examples, it features over 60 different predesigned antenna configurations grouped by various families such as patch antennas, monopoles, dipoles, spirals, etc. and continues to grow.

In contrast to the first edition devoted to the development of numerical modeling, this second edition is structured differently. It is presented as a succinct yet self‐contained introduction to basic antenna modeling and design with an emphasis on the antenna modeling with the already available MATLAB® Antenna Toolbox. Special attention is paid to small antennas where the Method of Moments remains the most accurate modeling tool. The present text has been used for a one‐semester graduate or a senior‐level undergraduate course for EE/ECE majors and other interested students. It can also be used for an independent study.

The text covers major antenna and array types, and concepts, along with the necessary theoretical background. The text also includes a number of practical antenna/array design examples performed by the authors. Wherever possible, we refer to more comprehensive and fundamental antenna books by C. A. Balanis, W. L. Stutzman, G. A. Thiele, R. C. Hansen, T. Milligan, and the others.

The text organization is shown in Table 1. It includes printed matter, MATLAB® Antenna Toolbox video laboratories, video tutorials, and video lectures, and is targeting either mixed or online material delivery. For running laboratories, MATLAB® 2018 or newer is required with Antenna Toolbox and RF Toolbox installed.

TABLE 1 Organization of printed matter, video laboratories, tutorials, and video lectures. The text content has been tentatively divided into 12 lectures; other arrangements are possible, indeed. Video laboratories (shadowed) teach how to use the Antenna Toolbox.

#

Topic

Antenna Toolbox laboratory recordings

Lecture recordings

1

Antenna circuit model, antenna impedance

(

Chapter 1

Section 1)

LabSession1.mp4 (10 minutes)

Lecture1_Recording.mp4 (20 minutes)

2

Antenna reflection coefficient, VSWR, antenna bandwidth

(

Chapter 1

Section 2)

LabSession2.mp4 (10 minutes)

Lecture2_Recording.mp4 (20 minutes)

3

Antenna‐to‐antenna link. Power transfer between TX/RX antennas

(

Chapter 2

Sections 1 and 2)

LabSession3.mp4 (13 minutes)

Lecture3_Recording.mp4 (20 minutes)

4

Maxwell’s equations, boundary conditions, basic solutions

(

Chapter 3

Sections 1 and 2)

Lecture4_Recording.mp4 (20 minutes)

5

Antenna radiation: directivity, gain, realized gain, antenna aperture

(

Chapter 3

and

4

)

LabSession4.mp4 (14 minutes)

Lecture5_Recording.mp4 (16 minutes)

6

Antenna balun, antenna reflector, method of images

(

Chapter 4

Sections 1 and 2)

LabSession5.mp4 (16 minutes)

Lecture6_Recording.mp4 (20 minutes)

7a

Dipole antenna family, broadband dipole like antennas

(

Chapter 5

Sections 1 and 2)

LabSession6Part1.mp4 (19 minutes) LabSession6Part2.mp4 (13 minutes)

Lecture7Part1_Recording.mp4 (12 minutes)

7b

Loop antennas

(

Chapter 6

)

LabSession7.mp4 (16 minutes)

Lecture7Part2_Recording.mp4 (13 minutes)

8

Small antennas, bandwidth, antenna loss

(

Chapter 7

, Video tutorials by Dr. S. Best)

VideoTutorial1.mp4 (15 minutes) VideoTutorial2.mp4 (15 minutes) LabSession8.mp4 (14 minutes)

Lecture8_Recording.mp4 (21 minutes)

9

Patch and PIFA antennas

(

Chapter 8

Sections 1 and 2)

LabSession9.mp4 (31 minutes)

Lecture9_Recording.mp4 (26 minutes)

10

Traveling wave antennas: Yagi‐Uda, helix, spiral

(Ch 9)

LabSession10.mp4 (30 minutes)

Lecture10_Recording.mp4 (22 minutes)

11

MATLAB

®

Antenna Designer

(

Chapter 10

)

LabSession11 (21 minutes)

Lecture11_Recording.mp4 (23 minutes)

12

Antenna arrays

(

Chapter 11

)

LabSession12Part1 (24 minutes) LabSession12Part2 (24 minutes)

Lecture12_Recording.mp4 (30 minutes)

One ongoing extension of the Antenna Toolbox is the utilization of the Fast Multipole Method (FMM) developed by the group of Dr. Leslie Greengard and the others. It is intended to enable modeling large antenna reflectors, antennas on large platforms (airplanes and cars), and large antennas arrays.

The online materials contain a suite of open‐source MATLAB® scripts along with the supporting supplement, which demonstrate how to implement this approach and how to apply it to antenna reflectors and scatterers of large compared to the wavelength sizes.

We thank Dr. Angelo Puzella of Raytheon Technologies for numerous constructive comments and suggestions.

The AuthorsMassachusetts 2021

List of Notations

Some notations used in the text

All complex‐valued Roman quantities are denoted by bold letters. Examples include

Vector electric field, time domain

Vector electric field, complex phasor in frequency domain

Electric field component, time domain

Electric field component, complex phasor in frequency domain

All complex‐valued Greek quantities are denoted by the same letters. Examples include

Electric potential, time domain

Electric potential, complex phasor in frequency domain

About the Companion Website

This book is accompanied by a companion website:

www.wiley.com/go/Makarov/AntennaandEMModelingwithMATLAB2e

The companion website is an important part of this text. It provides Antenna Toolbox laboratories in the sequential order. It also provides MATLAB® codes which employ the Fast Multipole Method (FMM) for large‐size antenna/scattering problems.