Electromagnetic Fields in Stratified Media (eBook)

Preface 6
Contents 8
1 Historical and Technical Overview of Electromagnetic Fields in Stratified Media 11
1.1 Electromagnetic Wave Along Air-Earth Boundary 11
1.2 Surface Waves Along Surfaces of Stratified Media 13
1.3 Lateral Waves Along the Air-Earth Boundary 16
1.4 Trapped Surface Wave in the Presence of Three- Layered Region 16
1.5 Electromagnetic Field Radiated by a Dipole over Spherical Earth 18
References 19
2 Electromagnetic Field of a Vertical Electric Dipole in the Presence of a Three- Layered Region 25
2.1 Introduction 25
2.2 The Integrated Formulas for Electromagnetic Field in Air 26
2.3 Field of Vertical Dipole over Dielectric-Coated Perfect Conductor 30
2.3.1 Integrated Formulas of the Electromagnetic Field in Air 30
2.3.2 Evaluations of Trapped Surface Wave and Lateral Wave 31
2.3.3 Final Formulas for the Electromagnetic Field Components 37
2.3.4 Computations and Discussions 38
2.4 Field of Vertical Dipole over Dielectric-Coated Imperfect Conductor 42
2.4.1 Statements of the Problem 42
2.4.2 The Trapped Surface Wave 43
2.4.3 Lateral Wave 45
2.4.4 Final Formulas for the Electromagnetic Field Components 47
2.4.5 Computations and Discussions 48
2.5 Radiation from Vertical Dipole in Three-Layered Region 52
2.5.1 Field of Vertical Dipole in Three-Layered Region 52
2.5.2 Graphical Representations of the Far Field 56
References 63
3 Electromagnetic Field of a Horizontal Electric Dipole in the Presence of a Three- Layered Region 65
3.1 Introduction 65
3.2 Electromagnetic Field of Horizontal Electric Dipole 66
3.2.1 Integrated Formulas for Electromagnetic Field in Air 66
3.2.2 Evaluation for the Electric-Type Field 69
3.2.3 Evaluation for the Magnetic-Type Field 72
3.2.4 New Techniques for Determining the Poles .E and .B 75
3.2.5 Final Formulas for Six Field Components 78
3.2.6 Computations and Conclusions 79
3.3 Radiation of Horizontal Electric Dipole and Microstrip Antenna 83
3.3.1 Radiation of a Horizontal Electric Dipole 83
3.3.2 Microstrip Antenna 87
3.3.3 Computations and Discussions 89
3.4 Summary 94
References 94
4 Electromagnetic Field of a Vertical Electric Dipole in the Presence of a Four- Layered Region 97
4.1 Introduction 97
4.2 Formulation of Problem 98
4.3 Evaluations of the Trapped Surface Wave and Lateral Wave 100
4.4 Computations and Conclusions 106
References 109
5 Electromagnetic Field of a Horizontal Electric Dipole in the Presence of a Four- Layered Region 112
5.1 Integrated Formulas for the Electromagnetic Field 112
5.2 Evaluation for the Electric-Type Field 117
5.3 Evaluation for the Magnetic-Type Field 122
5.4 Final Formulas for the Six-Field Components 126
5.5 Computations and Conclusions 127
References 130
6 Electromagnetic Field Radiated by a Dipole Source over a Dielectric- Coated Spherical Earth 132
6.1 Introduction 132
6.2 Electromagnetic Field due to Vertical Electric Dipole 133
6.2.1 Formulations of the Problem 133
6.2.2 Determination of the Coefficient 137
6.2.3 Final Formulas of the Electromagnetic Field 140
6.2.4 Computations for Parameters 140
6.2.5 Analysis and Computations 145
6.3 Electromagnetic Field due to Vertical Magnetic Dipole 146
6.4 Electromagnetic Field due to Horizontal Electric Dipole 149
6.5 Summary 153
References 153
7 Electromagnetic Field of a Dipole Source over the Spherical Surface of Multi- Layered Earth 155
7.1 Introduction 155
7.2 Electromagnetic Field due to Vertical Electric Dipole 157
7.3 Electromagnetic Field due to Vertical Magnetic Dipole 161
7.4 Electromagnetic Field due to Horizontal Electric Dipole 163
7.5 Computations and Conclusions 165
References 170
8 Exact Transient Field of a Horizontal Electric Dipole on the Boundary Between Two Dielectrics 172
8.1 Introduction 172
8.2 Exact Transient Field with Delta Function Excitation 173
8.2.1 Formal Representations of Time-independent Field due to Horizontal Electric Dipole 173
8.2.2 Time-Dependent Component E2. 176
8.2.3 Time-Dependent Component E2f 192
8.2.4 Time-Dependent Component B2z 197
8.2.5 Discussions and Conclusions 200
8.3 Exact Transient Field with Gaussian Excitation 200
8.3.1 Exact Formulas for the Transient Field of Horizontal Dipole Excited by a Gaussian Pulse on the Boundary Between Two Dielectrics 200
8.3.2 Computations and Conclusions 204
References 206
9 Approximate Transient Field of Horizontal Electric Dipole on the Boundary Between a Homogeneous Isotropic Medium and One- Dimensionally Anisotropic Medium 209
9.1 Statements of Problem 209
9.2 The Approximate Transient Field with Delta Function Excitation 210
9.3 Approximate Formulas for the Transient Field with Gaussian Excitation 218
References 225
Index 227