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Preface xix About the Companion Website xxiii 1 Time-Varying and Time-Harmonic Electromagnetic Fields 1
1.1 Introduction 1
1.2 Maxwell''s Equations 2
1.3 Constitutive Parameters and Relations 5
1.4 Circuit-Field Relations 7
1.5 Boundary Conditions 12
1.6 Power and Energy 18
1.7 Time-Harmonic Electromagnetic Fields 21
1.8 Multimedia 29 References 29 Problems 30 2 Electrical Properties of Matter 41
2.1 Introduction 41
2.2 Dielectrics, Polarization, and Permittivity 43
2.3 Magnetics, Magnetization, and Permeability 50
2.4 Current, Conductors, and Conductivity 57
2.5 Semiconductors 61
2.6 Superconductors 66
2.7 Metamaterials 68
2.8 Linear, Homogeneous, Isotropic, and Nondispersive Media 69
2.9 A.C. Variations in Materials 70
2.10 Multimedia 92 References 92 Problems 93 3 Wave Equation and Its Solutions 103
3.1 Introduction 103
3.2 Time-Varying Electromagnetic Fields 103
3.3 Time-Harmonic Electromagnetic Fields 105
3.4 Solution to the Wave Equation 106
3.5 Multimedia 125 References 125 Problems 125 4 Wave Propagation and Polarization 127
4.1 Introduction 127
4.2 Transverse Electromagnetic Modes 127
4.3 Transverse Electromagnetic Modes in Lossy Media 142
4.4 Polarization 151
4.5 Multimedia 171 References 171 Problems 172 5 Reflection and Transmission 179
5.1 Introduction 179
5.2 Normal Incidence--Lossless Media 179
5.3 Oblique Incidence--Lossless Media 183
5.4 Lossy Media 204
5.5 Reflection and Transmission of Multiple Interfaces 212
5.6 Polarization Characteristics on Reflection 228
5.7 Metamaterials 235
5.8 Multimedia 253 References 254 Problems 256 6 Auxiliary Vector Potentials, Construction of Solutions, and Radiation and Scattering Equations 271
6.1 Introduction 271
6.2 The Vector Potential A 272
6.3 The Vector Potential F 274
6.4 The Vector Potentials A and F 275
6.5 Construction of Solutions 277
6.6 Solution of the Inhomogeneous Vector Potential Wave Equation 291
6.7 Far-Field Radiation 295
6.8 Radiation and Scattering Equations 296
6.9 Multimedia 317 References 317 Problems 318 7 Electromagnetic Theorems and Principles 323
7.1 Introduction 323
7.2 Duality Theorem 323
7.3 Uniqueness Theorem 325
7.4 Image Theory 327
7.5 Reciprocity Theorem 335
7.6 Reaction Theorem 337
7.7 Volume Equivalence Theorem 338
7.8 Surface Equivalence Theorem: Huygens'' Principle 340
7.9 Induction Theorem (Induction Equivalent) 345
7.10 Physical Equivalent and Physical Optics Equivalent 349
7.11 Induction and Physical Equivalent Approximations 351
7.12 Multimedia 356 References 356 Problems 357 8 Rectangular Cross-Section Waveguides and Cavities 365
8.1 Introduction 365
8.2 Rectangular Waveguide 366
8.3 Rectangular Resonant Cavities 396
8.4 Hybrid (LSE and LSM) Modes 404
8.5 Partially Filled Waveguide 407
8.6 Transverse Resonance Method 419
8.7 Dielectric Waveguide 422
8.8 Stripline and Microstrip Lines 450
8.9 Ridged Waveguide 461
8.10 Multimedia 464 References 467 Problems 468 9 Circular Cross-Section Waveguides and Cavities 479
9.1 Introduction 479
9.2 Circular Waveguide 479
9.3 Circular Cavity 496
9.4 Radial Waveguides 505
9.5 Dielectric Waveguides and Resonators 512
9.6 Multimedia 537 References 537 Problems 539 10 Spherical Transmission Lines and Cavities 547
10.1 Introduction 547
10.2 Construction of Solutions 547
10.3 Biconical Transmission Line 555
10.4 The Spherical Cavity 559
10.5 Multimedia 567 References 567 Problems 567 11 Scattering 573
11.1 Introduction 573
11.2 Infinite Line-Source Cylindrical Wave Radiation 574
11.3 Plane Wave Scattering by Planar Surfaces 581
11.4 Cylindrical Wave Transformations and Theorems 597
11.5 Scattering by Circular Cylinders 605
11.6 Scattering By a Conducting Wedge 637
11.7 Spherical Wave Orthogonalities, Transformations, and Theorems 648
11.8 Scattering by a Sphere 653
11.9 Multimedia 663 References 664 Problems 666 12 Integral Equations and the Moment Method 677
12.1 Introduction 677
12.2 Integral Equation Method 678
12.3 Electric and Magnetic Field Integral Equations 701
12.4 Finite-Diameter Wires 721
12.5 Computer Codes 730
12.6 Multimedia 733 References 733 Problems 735 13 Geometrical Theory of Diffraction 739
13.1 Introduction 739
13.2 Geometrical Optics 740
13.3 Geometrical Theory of Diffraction: Edge Diffraction 759
13.4 Computer Codes 827
13.5 Multimedia 829 References 830 Problems 833 14 Diffraction by a Wedge with Impedance Surfaces 847
14.1 Introduction 847
14.2 Impedance Surface Boundary Conditions 849
14.3 Impedance Surface Reflection Coefficients 850
14.4 The Maliuzhinets Impedance Wedge Solution 852
14.5 Geometrical Optics 854
14.6 Surface Wave Terms 863
14.7 Diffracted Fields 865
14.8 Surface Wave Transition Field 873
14.9 Computations 875
14.10 Multimedia 877 References 878 Problems 881 15 Green''s Functions 883
15.1 Introduction 883
15.2 Green''s Functions in Engineering 884
15.3 Sturm-Liouville Problems 889
15.4 Two-Dimensional Green''s Function in Rectangular Coordinates 906
15.5 Green''s Identities and Methods 917
15.6 Green''s Functions of the Scalar Helmholtz Equation 923
15.7 Dyadic Green''s Functions 935
15.8 Multimedia 938 References 938 Problems 939 16 Artificial Impedance Surfaces 943
16.1 Introduction 943
16.2 Corrugations 945
16.3 Artificial Magnetic Conductors, Electromagnetic Bandgap, and Photonic Bandgap Surfaces 947
16.4 Design of Mushroom AMC 950
16.5 Surface-Wave Dispersion Characteristics 955
16.6 Limitations of The Design 959
16.7 Applications of AMCs 959
16.8 RCS Reduction Using Checkerboard Metasurfaces 960
16.9 Antenna Fundamental Parameters and Figures-of-Merit 980
16.10 Antenna Applications 982
16.11 High-Gain Printed Leaky-Wave Antennas Using Metasurfaces 997
16.12 Metasurface Leaky-Wave Antennas 999
16.13 Multimedia 1013 References 1014 Problems 1019 Appendix I Identities 1023 Appendix II Vector Analysis 1027 Appendix III Fresnel Integrals 1037 Appendix IV Bessel Functions 1043 Appendix V Legendre Polynomials and Functions 1057 Appendix VI the Method of Steepest Descent (saddle-point Method) 1073 Glossary 1079 Index 1085