
Electromagnetic Anisotropy and Bianisotropy : A Field Guide.
Title:
Electromagnetic Anisotropy and Bianisotropy : A Field Guide.
Author:
Mackay, Tom G.
ISBN:
9789814289627
Personal Author:
Physical Description:
1 online resource (236 pages)
Contents:
Contents -- Prologue -- Dedication -- Preface -- Acknowledgments -- Acronyms and Principal Symbols -- 1. The Maxwell Postulates and Constitutive Relations -- 1.1 From microscopic to macroscopic -- 1.2 Boundary conditions -- 1.3 Constitutive relations -- 1.4 The frequency domain -- 1.5 6-vector/6×6 dyadic notation -- 1.6 Forminvariances -- 1.6.1 Time reversal -- 1.6.2 Spatial inversion -- 1.6.3 Lorentz covariance -- 1.6.4 Chiral invariance -- 1.6.5 Conjugate invariance -- 1.6.6 Energy and momentum -- 1.7 Constitutive dyadics -- 1.7.1 Constraints -- 1.7.1.1 Causality and Kramers-Kronig relations -- 1.7.1.2 Post constraint -- 1.7.1.3 Onsager relations -- 1.7.2 Specializations -- 1.7.2.1 Lorentz reciprocity -- 1.7.2.2 Dissipative, nondissipative and active mediums -- References -- 2. Linear Mediums -- 2.1 Isotropy -- 2.1.1 Free space -- 2.1.2 Dielectric-magnetic mediums -- 2.1.3 Isotropic chirality -- 2.2 Anisotropy -- 2.2.1 Uniaxial anisotropy -- 2.2.2 Biaxial anisotropy -- 2.2.3 Gyrotropy -- 2.3 Bianisotropy -- 2.3.1 Mediums moving at constant velocity -- 2.3.2 Uniaxial and biaxial bianisotropy -- 2.3.3 Mediums with simultaneous mirror-conjugated and racemic chirality characteristics -- 2.3.4 Faraday chiral mediums -- 2.3.5 Pseudochiral omega mediums -- 2.4 Nonhomogeneous mediums -- 2.4.1 Periodic nonhomogeneity -- 2.4.2 Gravitationally induced bianisotropy -- References -- 3. Spacetime Symmetries and Constitutive Dyadics -- 3.1 Point groups of classical crystallography -- 3.2 Magnetic point groups -- 3.3 Continuous point groups -- 3.4 Space groups -- References -- 4. Planewave Propagation -- 4.1 Uniform and nonuniform plane waves -- 4.2 Eigenanalysis -- 4.3 Reflection and refraction of plane waves -- 4.4 Uniform plane waves in isotropic mediums -- 4.4.1 Dielectric-magnetic mediums -- 4.4.2 Isotropic chiral mediums.
4.5 Uniform plane waves in anisotropic mediums -- 4.5.1 Uniaxial mediums -- 4.5.2 Biaxial mediums -- 4.5.3 Gyrotropic mediums -- 4.6 Uniform plane waves in bianisotropic mediums -- 4.6.1 Mediums moving at constant velocity -- 4.6.2 Mediums with simultaneous mirror-conjugated and racemic chirality characteristics -- 4.6.3 Faraday chiral mediums -- 4.6.4 Beltrami fields in a bianisotropic medium -- 4.7 Plane waves in nonhomogeneous mediums -- 4.7.1 Periodic nonhomogeneity -- 4.7.2 Gravitationally affected vacuum -- 4.8 Exotic planewave phenomenons -- 4.8.1 Plane waves with negative phase velocity -- 4.8.2 Hyperbolic dispersion relations -- 4.8.3 Voigt waves -- 4.8.3.1 Anisotropic dielectric mediums -- 4.8.3.2 Bianisotropic mediums -- 4.8.4 Negative reflection -- 4.8.5 Counterposition of wavevector and time-averaged Poynting vector -- References -- 5. Dyadic Green Functions -- 5.1 Definition and properties -- 5.2 Closed-form representations -- 5.2.1 Isotropic mediums -- 5.2.1.1 Dielectric-magnetic mediums -- 5.2.1.2 Isotropic chiral mediums -- 5.2.2 Uniaxial dielectric-magnetic mediums -- 5.2.3 More complex mediums -- 5.3 Huygens principle -- 5.3.1 Uniaxial dielectric-magnetic mediums -- 5.3.2 Isotropic chiral mediums -- 5.4 Eigenfunction representations -- 5.4.1 Homogeneous mediums -- 5.4.2 Nonhomogeneous mediums -- 5.5 Depolarization dyadics -- 5.5.1 Ellipsoidal shape -- 5.5.2 Spherical shape -- 5.5.2.1 Isotropic ambient mediums -- 5.5.2.2 Anisotropic mediums -- 5.5.3 Bianisotropic mediums -- 5.6 Connection to plasmonics -- References -- 6. Homogenization -- 6.1 Constituent mediums -- 6.2 Maxwell Garnett formalism -- 6.3 Bruggeman formalism -- 6.4 Strong-property-fluctuation theory -- 6.4.1 Background -- 6.4.2 Estimates of constitutive parameters -- 6.4.2.1 Zeroth and first order -- 6.4.2.2 Second order -- 6.4.2.3 Third order.
6.5 Extended homogenization formalisms -- 6.6 Anisotropy and bianisotropy via homogenization -- 6.7 Homogenized composite mediums as metamaterials -- References -- 7. Nonlinear Mediums -- 7.1 Constitutive relations -- 7.2 Homogenization -- 7.2.1 Maxwell Garnett formalism -- 7.2.2 Strong-property-fluctuation theory -- 7.2.2.1 Weakly nonlinear, isotropic dielectric HCM -- 7.2.2.2 Weakly nonlinear, isotropic chiral HCM -- 7.2.2.3 Weakly nonlinear, anisotropic dielectric HCM -- 7.3 Nonlinearity enhancement -- 7.4 Quantum electrodynamic vacuum -- References -- Appendix A Dyadic Notation and Analysis -- References -- Epilogue -- Index -- About the Authors.
Abstract:
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. Sample Chapter(s). Chapter 1: The Maxwell Postulates and Constitutive Relations (380 KB). Contents: The Maxwell Postulates and Constitutive Relations; Linear Mediums; Spacetime Symmetries and Constitutive Dyadics; Planewave Propagation; Dyadic Green Functions; Homogenization; Nonlinear Mediums. Readership: Academics and professionals interested in crystal optics and electromagnetic fields in complex materials, including anisotropic, bianisotropic, and chiral materials and metamaterials.
Local Note:
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2017. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
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