Chapter One Some Basic Principles 1
1.1 Electromagnetic Duality 1
1.2 Theorem of Uniqueness 2
1.3 Principle of Equivalence 4
1.4 Theorem of Induction 6
1.5 Principle of Reciprocity 9
Chapter Two Modal Expansion Method—Plane Waves 13
2.1 Plane Wave Functions 13
2.2 Plane Waves—Basic Concept 15
2.3 Plane Wave Expansion of Radiation Problems 17
Chapter Three Modal Expansion Method—Cylindrical Waves 23
3.1 Cylindrical Wave Functions 23
3.2 Cylindrical Wave Radiation 26
3.3 Wave Transformation 30
3.4 Scattering of a Conducting Circular Cylinder 32
3.5 Wedge Scattering 38
Chapter Four Modal Expansion Method—Spherical Waves 43
4.1 Spherical Wave Functions 43
4.2 Wave Transformation 46
4.3 Scattering of a Sphere 49
4.4 Hertzian Dipoles in the Neighborhood of a Conducting Sphere 52
Chapter Five Hertzian Dipoles in Stratified Media 55
5.1 Theory and Formulation 55
5.2 Electromagnetic Fields in the Source Region 57
5.3 Transmission Matrices and Reflection Coefficients 62
5.4 Complex Amplitudes of the Fields in the Source Region 65
5.5 Sommerfeld Integrals and Discrete Complex Image Theory 68
Chapter Six Integral Equations and Method of Moments 73
6.1 Integral Equation in Frequency Domain 74
6.2 Integral Equation in Time Domain 80
6.3 Method of Moments 85
Chapter Seven High Frequency Methods 94
7.1 Introduction 94
7.2 Physical Optics Method 95
7.3 Geometrical Optics Method 97
7.4 Geometrical Theory of Diffraction 102
7.5 Saddle-Point Method 114
Chapter Eight Dyadic Green's Functions in Electromagnetics 120
8.1 Introduction 120
8.2 Dyadic Analysis 122
8.3 The Dyadic Green's Functions in Electromagnetics 125
8.4 Dyadic Green's Function for a Half-Space 128
8.5 Dyadic Green's Function for a Medium-Covered Microstrip PatchAntenna 130
Appendix Some Mathematical Theorems and Formulas Used in the Proof of Eq.(7.26) 141
References 144