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Theory and computation of electromagnetic fields

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Table of contents:
PART I Electromagnetic Field Theory 1
1 Basic Electromagnetic Theory 3
1.1 Review of Vector Analysis, 3
1.2 Maxwell’s Equations in Terms of Total Charges and Currents, 11
1.3 Constitutive Relations, 18
1.4 Maxwell’s Equations in Terms of Free Charges and Currents, 25
1.5 Boundary Conditions, 27
1.6 Energy, Power, and Poynting’s Theorem, 31
1.7 Time-Harmonic Fields, 33

2 Electromagnetic Radiation in Free Space 53
2.1 Scalar and Vector Potentials, 53
2.2 Solution of Vector Potentials in Free Space, 61
2.3 Electromagnetic Radiation in Free Space, 69
2.4 Radiation by Surface Currents and Phased Arrays, 78

3 Electromagnetic Theorems and Principles 89
3.1 Uniqueness Theorem, 90
3.2 Image Theory, 94
3.3 Reciprocity Theorems, 101
3.4 Equivalence Principles, 107
3.5 Duality Principle, 120
3.6 Aperture Radiation and Scattering, 121

4 Transmission Lines and Plane Waves 135
4.1 Transmission Line Theory, 135
4.2 Wave Equations and General Solutions, 144
4.3 Plane Waves Generated by a Current Sheet, 156
4.4 Reflection and Transmission, 159
4.5 Plane Waves in Anisotropic and Bi-Isotropic Media, 174

5 Fields and Waves in Rectangular Coordinates 199
5.1 Uniform Waveguides, 199
5.2 Uniform Cavities, 220
5.3 Partially Filled Waveguides and Dielectric Slab Waveguides, 229
5.4 Field Excitation in Waveguides, 241
5.5 Fields in Planar Layered Media, 245

6 Fields and Waves in Cylindrical Coordinates 261
6.1 Solution of Wave Equation, 261
6.2 Circular and Coaxial Waveguides and Cavities, 266
6.3 Circular Dielectric Waveguide, 279
6.4 Wave Transformation and Scattering Analysis, 287
6.5 Radiation by Infinitely Long Currents, 300

7 Fields and Waves in Spherical Coordinates 325
7.1 Solution of Wave Equation, 325
7.2 Spherical Cavity, 331
7.3 Biconical Antenna, 335
7.4 Wave Transformation and Scattering Analysis, 341
7.5 Addition Theorem and Radiation Analysis, 360

PARTII Electromagnetic Field Computation 383

8 The Finite Difference Method 385
8.1 Finite Differencing Formulas, 385
8.2 One-Dimensional Analysis, 387
8.3 Two-Dimensional Analysis, 393
8.4 Yee’s FDTD Scheme, 397
8.5 Absorbing Boundary Conditions, 402
8.6 Modeling of Dispersive Media, 417
8.7 Wave Excitation and Far-Field Calculation, 422
8.8 Summary, 427

9 The Finite Element Method 433
9.1 Introduction to the Finite Element Method, 434
9.2 Finite Element Analysis of Scalar Fields, 439
9.3 Finite Element Analysis of Vector Fields, 450
9.4 Finite Element Analysis in the Time Domain, 465
9.5 Discontinuous Galerkin Time-Domain Method, 472
9.6 Absorbing Boundary Conditions, 483
9.7 Some Numerical Aspects, 494
9.8 Summary, 497

10 The Method of Moments 505
10.1 Introduction to the Method of Moments, 506
10.2 Two-Dimensional Analysis, 510
10.3 Three-Dimensional Analysis, 523
10.4 Analysis of Periodic Structures, 544
10.5 Analysis of Microstrip Antennas and Circuits, 551
10.6 The Moment Method in the Time Domain, 561
10.7 Summary, 568

11 Fast Algorithms and Hybrid Techniques 575
11.1 Introduction to Fast Algorithms, 576
11.2 Conjugate Gradient–FFT Method, 578
11.3 Adaptive Integral Method, 591
11.4 Fast Multipole Method, 602
11.5 Adaptive Cross-Approximation Algorithm, 614
11.6 Introduction to Hybrid Techniques, 623
11.7 Hybrid Finite Difference–Finite Element Method, 624
11.8 Hybrid Finite Element–Boundary Integral Method, 630
11.9 Summary, 642

12 Concluding Remarks on Computational Electromagnetics 651
12.1 Overview of Computational Electromagnetics, 651
12.2 Applications of Computational Electromagnetics, 659
12.3 Challenges in Computational Electromagnetics, 670

Appendix A Vector Identities, Integral Theorems, and Coordinate Transformation 681
A.1 Vector Identities, 681
A.2 Integral Theorems, 682
A.3 Coordinate Transformation, 682

Appendix B Bessel Functions 683
B.1 Definition, 683
B.2 Series Expressions, 683
B.3 Integral Representation, 685
B.4 Asymptotic Expressions, 685
B.5 Recurrence and Derivative Relations, 685
B.6 Symmetry Relations, 686
B.7 Wronskian Relation, 686
B.8 Useful Integrals, 686

Appendix C Modified Bessel Functions 687
C.1 Definition, 687
C.2 Series Expressions, 687
C.3 Integral Representations, 688
C.4 Asymptotic Expressions, 688
C.5 Recurrence and Derivative Relations, 689
C.6 Symmetry Relations, 690
C.7 Wronskian Relation, 690
C.8 Useful Integrals, 690

Appendix D Spherical Bessel Functions 691
D.1 Definition, 691
D.2 Series Expressions, 692
D.3 Asymptotic Expressions, 693
D.4 Recurrence and Derivative Relations, 693
D.5 Symmetry Relations, 694
D.6 Wronskian Relation, 695
D.7 Riccati–Bessel Functions, 695
D.8 Modified Spherical Bessel Functions, 695

Appendix E Associated Legendre Polynomials 697
E.1 Definition, 697
E.2 Series Expression, 698
E.3 Special Values, 700
E.4 Symmetry Relations, 701
E.5 Recurrence and Derivative Relations, 701
E.6 Orthogonal Relations, 702
E.7 Fourier–Legendre Series, 702

Index 703

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Availability

Detail Information

Series Title

--

Call Number

530.141 JIN t

Publisher

New Jersey : Wiley., 2015

Collation

xxii, 715 hal.; ilus.; 26 cm

Language

English

ISBN/ISSN

9781119108047

Classification

530.141

Content Type

-

Media Type

-

Carrier Type

-

Edition

Second Edition

Subject(s)

Electromagnetic fields -- Mathematics

Specific Detail Info

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Statement of Responsibility

Jian-Ming Jin

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