Electromagnetic Anisotropy and Bianisotropy: A Field Guide

✍ Scribed by Mackay Tom G

• Publisher: World Scientific Publishing Company
• Year: 2009
• Tongue: English
• Leaves: 232
• Category: Library

✦ Synopsis

The topics of anisotropy and bianisotropy are fundamental to electromagnetics from both theoretical and experimental perspectives. These properties underpin a host of complex and exotic electromagnetic phenomenons in naturally occurring materials and in relativistic scenarios, as well as in artificially produced metamaterials. As a unique guide to this rapidly developing field, the book provides a unified presentation of key classic and recent results on the studies of constitutive relations, spacetime symmetries, planewave propagation, dyadic Green functions, and homogenization of composite materials. This book also offers an up-to-date extension to standard treatments of crystal optics with coverage on both linear and weakly nonlinear regimes.

• The Maxwell Postulates and Constitutive Relations
• Linear Mediums
• Spacetime Symmetries and Constitutive Dyadics
• Planewave Propagation
• Dyadic Green Functions
• Homogenization
• Nonlinear Mediums

✦ Table of Contents

Front Matter......Page 1
Acronyms and Principal Symbols......Page 4
Preface......Page 9
Table of Contents......Page 11
1.1 From Microscopic to Macroscopic......Page 15
1.2 Boundary Conditions......Page 18
1.3 Constitutive Relations......Page 21
1.4 The Frequency Domain......Page 22
1.5 6-Vector/6x6 Dyadic Notation......Page 26
1.6.1 Time Reversal......Page 27
1.6.2 Spatial Inversion......Page 28
1.6.3 Lorentz Covariance......Page 29
1.6.4 Chiral Invariance......Page 30
1.6.5 Conjugate Invariance......Page 32
1.6.6 Energy and Momentum......Page 33
1.7.1.1 Causality and Kramers-Kronig Relations......Page 34
1.7.1.2 Post Constraint......Page 36
1.7.1.3 Onsager Relations......Page 37
1.7.2.1 Lorentz Reciprocity......Page 38
1.7.2.2 Dissipative, Nondissipative and Active Mediums......Page 39
References......Page 42
2.1.1 Free Space......Page 45
2.1.2 Dielectric-Magnetic Mediums......Page 46
2.2 Anisotropy......Page 47
2.2.1 Uniaxial Anisotropy......Page 48
2.2.2 Biaxial Anisotropy......Page 49
2.2.3 Gyrotropy......Page 52
2.3.1 Mediums Moving at Constant Velocity......Page 55
2.3.2 Uniaxial and Biaxial Bianisotropy......Page 56
2.3.3 Mediums with Simultaneous Mirror-Conjugated and Racemic Chirality Characteristics......Page 57
2.3.4 Faraday Chiral Mediums......Page 58
2.3.5 Pseudochiral Omega Mediums......Page 59
2.4.1 Periodic Nonhomogeneity......Page 60
2.4.2 Gravitationally Induced Bianisotropy......Page 62
References......Page 64
3.1 Point Groups of Classical Crystallography......Page 68
3.2 Magnetic Point Groups......Page 70
3.3 Continuous Point Groups......Page 78
3.4 Space Groups......Page 91
References......Page 92
4. Planewave Propagation......Page 94
4.1 Uniform and Nonuniform Plane Waves......Page 95
4.2 Eigenanalysis......Page 97
4.3 Reflection and Refraction of Plane Waves......Page 99
4.4 Uniform Plane Waves in Isotropic Mediums......Page 101
4.4.2 Isotropic Chiral Mediums......Page 102
4.5.1 Uniaxial Mediums......Page 103
4.5.2 Biaxial Mediums......Page 105
4.5.3 Gyrotropic Mediums......Page 107
4.6 Uniform Plane Waves in Bianisotropic Mediums......Page 108
4.6.1 Mediums Moving at Constant Velocity......Page 109
4.6.2 Mediums with Simultaneous Mirror-Conjugated and Racemic Chirality Characteristics......Page 110
4.6.3 Faraday Chiral Mediums......Page 111
4.6.4 Beltrami Fields in a Bianisotropic Medium......Page 113
4.7.1 Periodic Nonhomogeneity......Page 115
4.7.2 Gravitationally Affected Vacuum......Page 117
4.8 Exotic Planewave Phenomenons......Page 119
4.8.1 Plane Waves with Negative Phase Velocity......Page 120
4.8.2 Hyperbolic Dispersion Relations......Page 122
4.8.3 Voigt Waves......Page 124
4.8.3.1 Anisotropic Dielectric Mediums......Page 125
4.8.3.2 Bianisotropic Mediums......Page 127
4.8.4 Negative Reflection......Page 129
4.8.5 Counterposition of Wavevector and Time-Averaged Poynting Vector......Page 130
References......Page 131
5.1 Definition and Properties......Page 137
5.2 Closed-Form Representations......Page 139
5.2.1.1 Dielectric-Magnetic Mediums......Page 140
5.2.1.2 Isotropic Chiral Mediums......Page 141
5.2.2 Uniaxial Dielectric-Magnetic Mediums......Page 142
5.2.3 More Complex Mediums......Page 144
5.3 Huygens Principle......Page 145
5.3.1 Uniaxial Dielectric-Magnetic Mediums......Page 146
5.4.1 Homogeneous Mediums......Page 148
5.4.2 Nonhomogeneous Mediums......Page 150
5.5 Depolarization Dyadics......Page 151
5.5.1 Ellipsoidal Shape......Page 152
5.5.2.1 Isotropic Ambient Mediums......Page 156
5.5.2.2 Anisotropic Mediums......Page 157
5.5.3 Bianisotropic Mediums......Page 161
5.6 Connection to Plasmonics......Page 162
References......Page 163
6. Homogenization......Page 167
6.1 Constituent Mediums......Page 168
6.2 Maxwell Garnett Formalism......Page 170
6.3 Bruggeman Formalism......Page 172
6.4.1 Background......Page 174
6.4.2.2 Second Order......Page 175
6.4.2.3 Third Order......Page 177
6.5 Extended Homogenization Formalisms......Page 178
6.6 Anisotropy and Bianisotropy via Homogenization......Page 180
6.7 Homogenized Composite Mediums as Metamaterials......Page 181
References......Page 184
7.1 Constitutive Relations......Page 190
7.2 Homogenization......Page 192
7.2.1 Maxwell Garnett Formalism......Page 193
7.2.2 Strong-Property-Fluctuation Theory......Page 194
7.2.2.1 Weakly Nonlinear, Isotropic Dielectric HCM......Page 195
7.2.2.2 Weakly Nonlinear, Isotropic Chiral HCM......Page 196
7.2.2.3 Weakly Nonlinear, Anisotropic Dielectric HCM......Page 202
7.3 Nonlinearity Enhancement......Page 210
7.4 Quantum Electrodynamic Vacuum......Page 211
References......Page 212
Appendix A: Dyadic Notation and Analysis......Page 215
Epilogue......Page 217
B......Page 218
C......Page 219
E......Page 221
G......Page 222
I......Page 223
L......Page 224
M......Page 225
O......Page 226
P......Page 227
S......Page 229
U......Page 230
W......Page 231
About the Author......Page 232