Radiation and Propagation of Electromagnetic Waves (eBook)

Front Cover 1
Radiation and Propagation of Electromagnetic Waves 4
Copyright Page 5
Table of Contents 8
Dedication 6
PREFACE 12
ACKNOWLEDGMENTS 14
CHAPTER 1. ELECTROMAGNETIC THEORY 18
1.1 Maxwell's Equations 18
1.2 Macroscopic Properties of Matter 21
1.3 Energy and Power 23
1.4 Boundary Conditions 24
1.5 The Wave Equation 26
1.6 Electromagnetic Potentials in Homogeneous Isotropic Media 29
1.7 Uniqueness Theorem for Electromagnetic Boundary Value Problems 33
1.8 The Dirac Delta Function 34
Problems 37
References 38
CHAPTER 2. PLANE WAVES IN HOMOGENEOUS ISOTROPIC MEDIA 39
2.1 General Properties of Plane Waves 39
2.2 Spectral Decomposition 42
2.3 Inhomogéneo us Plane Waves 45
2.4 Reflection and Refraction 47
2.5 The Zenneck Surface Wave 50
2.6 The Lateral Wave 53
2.7 The Impedance Concept and Boundary Conditions 56
2.8 System of Parallel Plane Layers 57
Problems 60
References 61
CHAPTER 3. PLANE WAVES IN HOMOGENEOUS ANISOTROPIC MEDIA 62
3.1 Electrically Anisotropic Media 62
3.2 Magnetically Anisotropic Media 64
3.3 Plane Waves in Magnetoplasmas 66
3.4 Plane Waves in Magnetized Ferrites 74
Problems 78
References 80
CHAPTER 4. PLANE WAVES IN INHOMOGENEOUS STRATIFIED MEDIA 81
4.1 The Characteristic Differential Equations 81
4.2 General Solution 84
4.3 Specific Inhomogeneity Profiles 87
4.4 The WKB Approximation 96
4.5 Geometrical Optics Approximation 105
Problems 114
References 115
CHAPTER 5. SPECTRAL REPRESENTATION OF ELEMENTARY SOURCES 117
5.1 Integration of the Wave Equation 117
5.2 Spectral Representation of Dipoles and Line Sources 132
5.3 Asymptotic Evaluation of Integrals 134
Problems 147
References 149
CHAPTER 6. FIELD OF A DIPOLE IN A STRATIFIED MEDIUM 150
6.1 Vertical Electric Dipole above an Interface 150
6.2 Vertical Electric Dipole above a Conducting Earth (Sommerfeld Problem) 161
6.3 Vertical Electric Dipole above a Slightly Conducting Plasma 178
6.4 Vertical Electric Dipole in a Three-Layer Medium 187
Problems 195
References 199
CHAPTER 7. RADIATION IN ANISOTROPIC PLASMA 200
7.1 Electric Dipole in Magnetoplasma 200
7.2 Magnetic Line Source in Magnetoplasma 206
7.3 Radiation from a Magnetic Current Line Source in the Presence of a Separation Boundary 210
Problems 223
References 225
CHAPTER 8. GREEN'S FUNCTION METHOD OF SOLUTION 226
8.1 Self-Adjoint Boundary Value Problems 226
8.2 Examples of Eigenfunction Expansion 233
8.3 Formal Green's Function Procedure 246
8.4 Examples of Green's Function Construction 249
Problems 269
References 271
CHAPTER 9. AXIAL CURRENTS AND CYLINDRICAL BOUNDARIES 272
9.1 General Considerations 272
9.2 Perfectly Conducting Wedge and an Axial Current Distribution 279
9.3 Cylindrically Tipped Wedge and an Axial Current Distribution 287
9.4 Perfectly Conducting Circular Cylinder and an Axial Current Distribution 289
9.5 Dielectric Circular Cylinder and a Line Source 291
Problems 297
References 299
CHAPTER 10. DIFFRACTION BY CYLINDRICAL STRUCTURES 300
10.1 Circular Cylinder 300
10.2 Cylindrically Tipped Wedge 323
10.3 The Wedge 325
10.4 The Wiener-Hopf Technique 333
Problems 345
References 345
CHAPTER 11. APERTURES ON CYLINDRICAL STRUCTURES 347
11.1 Apertures on Planes 347
11.2 Apertures on Circular Cylinders 354
11.3 Apertures on Wedges 366
Problems 379
References 379
INDEX 380