Theory and computation of electromagnetic fields:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
[Piscataway, NJ] [u.a.]
IEEE Press [u.a.]
2010
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XV, 572 S. Ill., graph. Darst. |
| ISBN: | 9780470533598 |
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MARC
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| _version_ | 1804143829987622912 |
|---|---|
| adam_text | Titel: Theory and computation of electromagnetic fields
Autor: Jin, Jian-Ming
Jahr: 2010
CONTENTS
PREFACE xi 2.1.1 Static Fields 44
ACKNOWLEDGMENTS xv 2.1.2 Time-Harmonic Fields and the
Lorenz Gauge Condition 45
PARTI ELECTROMAGNETIC 2.2 Solution of Vector Potentials in Free
FIELD THEORY sPace 47
2.2.1 Delta Function and Green s
CHAPTER1 BASIC ELECTROMAGNETIC
THEORY
Function 48
2.2.2 Green s Function in Free
Space 49
1.1 Review of Vector Analysis 3 2.2.3 Field-Source Relations in Free
1.1.1 Vector Operations and Integral Space 50
Theorems 3 2.2.4 Why Use Auxiliary Potential
1.1.2 Symbolic Vector Method 6 Functions 51
1.1.3 Helmholtz Decomposition 2.2.5 Free-Space Dyadic Green s
Theorem 8 Functions 52
1.1.4 Green s Theorems 9 2.3 Electromagnetic Radiation in Free
1.2 Maxwell s Equations in Terms of Total Space 55
Charges and Currents 9 2.3.1 Infinitesimal Electric Dipole 55
1.2.1 Maxwell s Equations in Integral 2.3.2 Finite Electric Dipole 57
Form 11 2.3.3 Far-Field Approximation and
1.2.2 Maxwell s Equations in Differential the Sommerfeld Radiation
Form 14 Condition 59
1.2.3 Current Continuity Equation 14 2.3.4 Circular Current Loop and Magnetic
1.2.4 The Lorentz Force Law 15 Dipole 61
1.3 Constitutive Relations 15 2.4 Radiation by Surface Currents and Phased
1.3.1 Electric Polarization 15 Arrays 63
1.3.2 Magnetization 17 2.4.1 Radiation by a Surface Current 63
1.3.3 Electric Conduction 19 2.4.2 Radiation by a Phased Array 65
1.3.4 Classification of Media 19 Notes 69
1.4 Maxwell s Equations in Terms of Free References 69
Charges and Currents 22 Problems 69
1.5 Boundary Conditions 24
1.6 Energy, Power, and Poynting s Theorem 26 CHAPTER3 ELECTROMAGNETIC
1.7 Time-Harmonic Fields 29 THEOREMS AND PRINCIPLES_________________73
1.7.1 Time-Harmonic Fields 29
1.7.2 Fourier Transforms 30 3.1 Uniqueness Theorem 73
1.7.3 Complex Power 32 3.2 Image Theory 75
1.7.4 Complex Permittivity and 3.2.1 Basic Image Theory 76
Permeability 36 3.2.2 Half-Space Field-Source
Notes 37 Relations 80
References 37 3.3 Reciprocity Theorems 82
Problems 37 3.3.1 General Reciprocity Theorem 82
3.3.2 Lorentz Reciprocity Theorem 83
CHAPTER 2 ELECTROMAGNETIC RADIATION 333 Rayleigh-Carson Reciprocity
IN FREE SPACE 43
Theorem 83
3.4 Equivalence Principles 85
2.1 Scalar and Vector Potentials 43 3.4.1 Surface Equivalence Principle 85
3.4.2 Application to Scattering by a CHAPTER 5 FIELDS AND WAVES IN
Conducting Object 87 RECTANGULAR COORDINATES ___________152
5.1 Uniform Waveguides 152
5.1.1 General Analysis 152
5.1.2 General Characteristics 156
5.1.3 Uniform Rectangular
Attenuation Constant 167
5.2 Uniform Cavities 170
3.4.3 Application to Scattering by a
Dielectric Object 90
3.4.4 Volume Equivalence Principle 92
3.5 Duality Principle 94
3.6 Aperture Radiation and Scattering 95
Waveguide 160
3.6.1 Equivalent Problems 96
5.1.4 Losses in Waveguides and
3.6.2 Babinet s Principle 99
3.6.3 Complementary Antennas 101
References 102
5.2.1 General Theory 171
Problems 103
5.2.2 Rectangular Cavity 173
CHAPTER 4 TRANSM1SSION LINES AND 523 Material and Geometry
PLANE WAVES 107 Perturbations 175
-------------------------------------------------------------------- 5.3 Partially Filled Waveguides and Dielectric
4.1 Transmission Line Theory 107 Slab Waveguides 178
4.1.1 Governing Differential Equations 5.3.1 General Theory 178
and General Solutions 107 5.3.2 Partially Filled Rectangular
4.1.2 Reflection and Transmission 110 Waveguide 180
4.1.3 Green s Function and 5.3.3 Dielectric Slab Waveguide on a
Eigenfunction Expansion 111 Ground Plane 183
4.2 Wave Equations and General 5.4 Field Excitation in Waveguides 187
Solutions 115 5.4.1 Excitation by Planar Surface
4.2.1 Wave Equations and Solution by Currents 187
Separation of Variables 116 5.4.2 Excitation by General Volumetric
4.2.2 Characteristics of a Plane Currents 189
Wave 117 5.5 Fields in Planar Layered Media 191
4.2.3 Wave Velocities and 5.5.1 Spectral Green s Function and
Attenuation 119 Sommerfeld Identity 191
4.2.4 Linear, Circular, and Elliptical 5.5.2 Vertical Electric Dipole above a
Polarizations 121 Layered Medium 192
4.2.5 Wave Propagation in 5.5.3 Horizontal Electric Dipole above
Metamaterials 124 a Layered Medium 194
4.3 Plane Waves Generated by A Current 5.5.4 Dipoles on a Grounded Dielectric
Sheet 125 Slab 196
4.4 Reflection and Transmission 127 Note 197
4.4.1 Reflection and Transmission at References 198
Normal Incidence 127 Problems 198
4.4.2 Reflection and Transmission at
Oblique Incidence 129 CHAPTER 6 FIELDS AND WAVES IN
4.4.3 Total Transmission and Total
Reflection 132
CYLINDRICAL COORDINATES 200
4.4.4 Transmission into a Left-Handed 6.1 Solution of Wave Equation 200
Medium 135 6.1.1 Solution by Separation of
4.4.5 Plane Waves versus Transmission Variables 200
Lines 137 6.1.2 Cylindrical Wave
4.5 Plane Waves in Anisotropic and Bi-Isotropic Functions 203
Media 137 6.2 Circular and Coaxial Waveguides and
4.5.1 Plane Waves in Uniaxial Media 137 Cavities 204
4.5.2 Plane Waves in Gyrotropic 6.2.1 Circular Waveguide 205
Media 142 6.2.2 Coaxial Waveguide 208
4.5.3 Plane Waves in Chiral Media 145 6.2.3 Cylindrical Cavity 212
References 147 6.3 Circular Dielectric Waveguide 213
Problems 147 6.3.1 Analysis of Hybrid Modes 214
6.3.2 Characteristics of Hybrid 7.5.4 Radiation in the Presence of a
Modes 217 Conducting Cone 288
6.4 Wave Transformation and Scattering References 291
Analysis 222 Problems 292
6.4.1 Wave Transformation 223
6.4.2 Scattering by a Circular Conducting PART II ELECTROMAGNETIC
Cylinder 224 FIELD COMPUTATION
6.4.3 Scattering by a Circular Dielectric
Cylinder 227 CHAPTER 8 THE FINITE DIFFERENCE
6.4.4 Scattering by a Circular Multilayer mfthdd
297
Dielectric Cylinder 230
6.5 Radiation by Infinitely Long Currents 234 8.1 Finite Differencing Formulas 298
6.5.1 Line Current Radiation in Free 8.2 One-Dimensional Analysis 300
Space 234 8.2.1 Solution of the Diffusion
6.5.2 Radiation by a Cylindrical Surface Equation 300
Current 236 8.2.2 Solution of the Wave Equation 302
6.5.3 Radiation in the Presence of 8.2.3 Stability Analysis 302
a Circular Conducting 8.2.4 Numerical Dispersion Analysis 305
Cylinder 238 8.3 Two-Dimensional Analysis 306
6.5.4 Radiation in the Presence of a 8.3.1 Analysis in the Time Domain 306
Conducting Wedge 241 8.3.2 Analysis in the Frequency
6.5.5 Radiation by a Finite Current 243 Domain 308
References 245 8.4 Yee s FDTD Scheme 309
Problems 245 8.4.1 Two-Dimensional Analysis 309
8.4.2 Three-Dimensional Analysis 311
CHAPTER 7 FIELDS AND WAVES IN g.5 Absorbing Boundary Conditions 314
SPHERICAL COORDINATES 248 8.5.i One-Dimensional ABC 314
7.1 Solution of Wave Equation 248
7.1.1 Solution by Separation of
Variables 248
7.1.2 Spherical Wave Functions 251
7.1.3 TE, and TM, Modes 253
8.6.2 Auxihary Differential Equation
7.2 Spherical Cavity 255 .
8.5.2 Two-Dimensional ABCs 316
8.5.3 Perfectly Matched Layers 318
8.6 Modeling of Dispersive Media 329
8.6.1 Recursive Convolution
Approach 329
7.3 Biconical Antenna 259
Approach 331
8.7 Wave Excitation and Far-Field
7.3.1 Infinitely Long Model 259 Calculation 333
7.3.2 Finite Biconical Antenna 262
8.7.1 Modeling of Wave Excitation 334
7.4 Wave Transformation 8.7.2 Near-to-Far Field
and Scattering Analysis 264
Transformation 337
7.4.1 Wave Transformation 264
7.4.2 Expansion of a Plane Wave 266 References 339
7.4.3 Scattering by a Conducting problems m
Sphere 269
7.4.4 Scattering by a Dielectric CHAPTER 9 THE FINITE ELEMENT
Sphere 274 METHOD 342
7.4.5 Scattering by a Multilayer Dielectric -----------------------------------------------------------------
Sphere 276 9.1 Introduction to the Finite Element
7.5 Addition Theorem and Radiation Method 343
Analysis 281 9.1.1 The General Principle 343
7.5.1 Addition Theorem for 9.1.2 One-Dimensional Example 344
Spherical Wave Functions 281 9.2 Finite Element Analysis of Scalar
7.5.2 Radiation of a Spherical Surface Fields 347
Current 283 9.2.1 The Boundary-Value Problem 347
7.5.3 Radiation in the Presence of a 9.2.2 Finite Element Formulation 348
Sphere 286 9.2.3 Application Examples 354
CHAPTER 10 THE METHOD OF MOMENTS 399
9.3 Finite Element Analysis of Vector 10.5 Analysis of Microstrip Antennas and
Fields 359 Circuits 443
9.3.1 The Boundary-Value Problem 359 10.5.1 Formulation of Integral
9.3.2 Finite Element Formulation 360 Equations 443
9.3.3 Application Examples 364 10.5.2 The Moment-Method Solution 446
9.4 Finite Element Analysis in the Time 10.5.3 Evaluation of Green s
Domain 372 Functions 446
9.4.1 The Boundary-Value Problem 373 10.5.4 Far-Field Calculation and
9.4.2 Finite Element Formulation 374 Application Examples 451
9.4.3 Application Examples 378 10.6 The Moment Method in the Time
9.5 Absorbing Boundary Conditions 379 Domain 452
9.5.1 Two-Dimensional ABCs 380 10.6.1 Time-Domain Integral
9.5.2 Three-Dimensional ABCs 383 Equations 453
9.5.3 Perfectly Matched Layers 386 10.6.2 Marching-On-in-Time Solution 454
9.6 Some Numerical Aspects 390 10.7 Summary 458
9.6.1 Mesh Generation 391 References 458
9.6.2 Matrix Solvers 391 Problems 460
9.6.3 Higher-Order Elements 392
9.6.4 Curvilinear Elements 393
9.6.5 Adaptive Finite Element CHAPTER 11 FASTALGORITHMS AND
Analysis 393 HYBRID TECHNIQUES 463
9.7 Summary 393 11.1 Introduction to Fast Algonthms 463
Reterences 394
11.2 Conjugale Gradient-FFT Method 465
Problems 395
11.2.1 Scattering by a Conducting Strip or
Wire 466
11.2.2 Scattering by a Conducting
10.1 Introduction to the Method of Moments 399 Plate 466
10.2 Two-Dimensional Analysis 404 11.2.3 Scattering by a Dielectric
10.2.1 Formulation of Integral Object 472
Equations 404 11.3 Adaptive Integral Method 478
10.2.2 Scattering by a Conducting 11.3.1 Planar Structures 478
Cylinder 407 11.3.2 Three-Dimensional Objects 482
10.2.3 Scattering by a Conducting 11.4 Fast Multipole Method 487
Strip 411 11.4.1 Two-Dimensional Analysis 487
10.2.4 Scattering by a Homogeneous 11.4.2 Three-Dimensional Analysis 492
Dielectric Cylinder 415 11.4.3 Multilevel Fast Multipole
10.3 Three-Dimensional Analysis 416 Algorithm 495
10.3.1 Formulation of Integral 11.5 Adaptive Cross-Approximation
Equations 416 Algorithm 500
10.3.2 Scattering and Radiation by 11.5.1 Low-Rank Matrix 500
a Conducting Wire 421 11.5.2 Adaptive Cross-Approximation 502
10.3.3 Scattering by a Conducting 11.5.3 Application to the Moment-Method
Body 425 Solution 504
10.3.4 Scattering by a Homogeneous 11.6 Introduction to Hybrid Techniques 508
Dielectric Body 430 11.7 Hybrid Finite Difference-Finite Element
10.3.5 Scattering by an Method 509
Inhomogeneous Dielectric 11.7.1 Relation between FETD and
Body 433 FDTD 510
10.4 Analysis of Periodic Structures 436 11.7.2 Hybridization of FETD and
10.4.1 Scattering by a Planar FDTD 512
Periodic Conducting Patch 11.7.3 Application Example 514
Array 436 11.8 Hybrid Finite Element-Boundary Integral
10.4.2 Scattering by a Discrete Body-of- Method 515
Revolution Object 441 11.8.1 Traditional Formulation 517
11.8.2 Symmetrie Formulation 520 12.1.4 Time-Domain Simulation
11.8.3 Numerical Examples 523 Methods 538
11.9 Summary 526 12.1.5 Hybrid Techniques 540
Notes 527 12.2 Applications of Computational
References 527 Electromagnetics 540
Problems 531 12.3 Challenges in Computational
Electromagnetics 551
CHAPTER 12 CONCLUDING REMARKS ON References 552
COMPUTATIONAL ELECTROMAGNETICS 533
12.1 Overview of Computational APPENDIX 559
Electromagnetics 533 ----------------------------------------------------------------------------
12.1.1 Frequency-versus Time-Domain Vector Identities 559
Analysis 533 Integral Theorems 559
12.1.2 High-Frequency Asymptotic Coordinate Transformation 560
Techniques 534
12.1.3 First-Principle Numerical
Methods 536 INDEX 561
|
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| id | DE-604.BV037226652 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:53:53Z |
| institution | BVB |
| isbn | 9780470533598 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-021140415 |
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| owner | DE-634 DE-91 DE-BY-TUM |
| owner_facet | DE-634 DE-91 DE-BY-TUM |
| physical | XV, 572 S. Ill., graph. Darst. |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | IEEE Press [u.a.] |
| record_format | marc |
| spelling | Jin, Jian-Ming 1962- Verfasser (DE-588)137256159 aut Theory and computation of electromagnetic fields Jian-Ming Jin [Piscataway, NJ] [u.a.] IEEE Press [u.a.] 2010 XV, 572 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematik Angewandte Mathematik (DE-588)4142443-8 gnd rswk-swf Elektromagnetisches Feld (DE-588)4014305-3 gnd rswk-swf Computersimulation (DE-588)4148259-1 gnd rswk-swf Electromagnetic fields / Mathematics / Textbooks Elektromagnetisches Feld (DE-588)4014305-3 s Computersimulation (DE-588)4148259-1 s DE-604 Angewandte Mathematik (DE-588)4142443-8 s 1\p DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=021140415&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Jin, Jian-Ming 1962- Theory and computation of electromagnetic fields Mathematik Angewandte Mathematik (DE-588)4142443-8 gnd Elektromagnetisches Feld (DE-588)4014305-3 gnd Computersimulation (DE-588)4148259-1 gnd |
| subject_GND | (DE-588)4142443-8 (DE-588)4014305-3 (DE-588)4148259-1 |
| title | Theory and computation of electromagnetic fields |
| title_auth | Theory and computation of electromagnetic fields |
| title_exact_search | Theory and computation of electromagnetic fields |
| title_full | Theory and computation of electromagnetic fields Jian-Ming Jin |
| title_fullStr | Theory and computation of electromagnetic fields Jian-Ming Jin |
| title_full_unstemmed | Theory and computation of electromagnetic fields Jian-Ming Jin |
| title_short | Theory and computation of electromagnetic fields |
| title_sort | theory and computation of electromagnetic fields |
| topic | Mathematik Angewandte Mathematik (DE-588)4142443-8 gnd Elektromagnetisches Feld (DE-588)4014305-3 gnd Computersimulation (DE-588)4148259-1 gnd |
| topic_facet | Mathematik Angewandte Mathematik Elektromagnetisches Feld Computersimulation |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=021140415&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT jinjianming theoryandcomputationofelectromagneticfields |