Electromagnetic Anisotropy and Bianisotropy

by Mackay, Tom G.; Lakhtakia, Akhlesh

• ISBN13: 9789814289610
• ISBN10: 9814289612
• Format: Hardcover
• Copyright: 2009-11-20
• Publisher: World Scientific Pub Co Inc

Summary

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.

Table of Contents

Prologue	p. vi
Dedication	p. vii
Preface	p. ix
Acknowledgments	p. xi
Acronyms and Principal Symbols	p. xvii
The Maxwell Postulates and Constitutive Relations	p. 1
From microscopic to macroscopic	p. 1
Boundary conditions	p. 4
Constitutive relations	p. 7
The frequency domain	p. 8
6-vector/6×6 dyadic notation	p. 12
Form invariances	p. 13
Time reversal	p. 13
Spatial inversion	p. 14
Lorentz covariance	p. 15
Chiral invariance	p. 16
Conjugate invariance	p. 18
Energy and momentum	p. 19
Constitutive dyadics	p. 20
Constraints	p. 20
Specializations	p. 24
Linear Mediums	p. 31
Isotropy	p. 31
Free space	p. 31
Dielectric-magnetic mediums	p. 32
Isotropic chirality	p. 33
Anisotropy	p. 33
Uniaxial anisotropy	p. 34
Biaxial anisotropy	p. 35
Gyrotropy	p. 38
Bianisotropy	p. 41
Mediums moving at constant velocity	p. 41
Uniaxial and biaxial bianisotropy	p. 42
Mediums with simultaneous mirror-conjugated and racemic chirality characteristics	p. 43
Faraday chiral mediums	p. 44
Pseudochiral omega mediums	p. 45
Nonhomogeneous mediums	p. 46
Periodic nonhomogeneity	p. 46
Gravitationally induced bianisotropy	p. 48
Spacetime Symmetries and Constitutive Dyadics	p. 55
Point groups of classical crystallography	p. 55
Magnetic point groups	p. 57
Continuous point groups	p. 65
Space groups	p. 78
Planewave Propagation	p. 81
Uniform and nonuniform plane waves	p. 82
Eigenanalysis	p. 84
Reflection and refraction of plane waves	p. 86
Uniform plane waves in isotropic mediums	p. 88
Dielectric-magnetic mediums	p. 89
Isotropic chiral mediums	p. 89
Uniform plane waves in anisotropic mediums	p. 90
Uniaxial mediums	p. 90
Biaxial mediums	p. 92
Gyrotropic mediums	p. 94
Uniform plane waves in bianisotropic mediums	p. 95
Mediums moving at constant velocity	p. 96
Mediums with simultaneous mirror-conjugated and racemic chirality characteristics	p. 97
Faraday chiral mediums	p. 98
Beltrami fields in a bianisotropic medium	p. 100
Plane waves in nonhomogeneous mediums	p. 102
Periodic nonhomogeneity	p. 102
Gravitationally affected vacuum	p. 104
Exotic planewave phenomenons	p. 106
Plane waves with negative phase velocity	p. 107
Hyperbolic dispersion relations	p. 109
Voigt waves	p. 111
Negative reflection	p. 116
Counterposition of wavevector and time-averaged Poynting vector	p. 117
Dyadic Green Functions	p. 125
Definition and properties	p. 125
Closed-form representations	p. 127
Isotropic mediums	p. 128
Uniaxial dielectric-magnetic mediums	p. 130
More complex mediums	p. 132
Huygens principle	p. 133
Uniaxial dielectric-magnetic mediums	p. 134
Isotropic chiral mediums	p. 136
Eigenfunction representations	p. 136
Homogeneous mediums	p. 136
Nonhomogeneous mediums	p. 138
Depolarization dyadics	p. 139
Ellipsoidal shape	p. 140
Spherical shape	p. 144
Bianisotropic mediums	p. 149
Connection to plasmonics	p. 150
Homogenization	p. 155
Constituent mediums	p. 156
Maxwell Garnett formalism	p. 158
Bruggeman formalism	p. 160
Strong-property-fluctuation theory	p. 162
Background	p. 162
Estimates of constitutive parameters	p. 163
Extended homogenization formalisms	p. 166
Anisotropy and bianisotropy via homogenization	p. 168
Homogenized composite mediums as metamaterials	p. 169
Nonlinear Mediums	p. 179
Constitutive relations	p. 179
Homogenization	p. 181
Maxwell Garnett formalism	p. 182
Strong-property-fluctuation theory	p. 183
Nonlinearity enhancement	p. 199
Quantum electrodynamic vacuum	p. 200
Dyadic Notation and Analysis	p. 205
Epilogue	p. 207
Index	p. 209
About the Authors	p. 213
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