Infinite-Space Dyadic Green Functions in Electromagnetism

Dedication Preface Acknowledgements 1 Introduction 1.1 Concept of infinite-space dyadic Green functions 1.2 Examples of linear operators 1.2.1 RL circuit 1.2.2 Sound wave 1.2.3 Plate vibration 1.2.4 Helmholtz operator 1.3 Linear electromagnetism 1.3.1 Dyadic Green functions for field phasors 1.3.2 Dyadic Green functions for vector potential phasors 1.4 Solution approaches 1.4.1 Spatial-Fourier-transform approach 1.4.2 Direct approach 1.4.3 Eigenfunction-expansion approach 1.4.4 Scalarization approach 1.5 Organization of the monograph 2 Isotropic and Biisotropic Mediums 2.1 Isotropic dielectric-magnetic medium 2.1.1 Dyadic Green functions 2.1.2 Radiation from point-electric dipole 2.1.3 Radiation from point-magnetic dipole 2.1.4 Radiation from electrically small electric-current loop 2.2 Isotropic chiral medium 2.2.1 Dyadic Green functions 2.2.2 Radiation from point-electric dipole 2.2.3 Radiation from point-magnetic dipole 2.2.4 Radiation from an electrically small electric-current loop 2.3 Lorentz-nonreciprocal biisotropy 3 Anisotropic and Bianisotropic Mediums 3.1 Symmetry and antisymmetry 3.2 Uniaxial mediums 3.3 Uniaxial dielectric medium 3.3.1 Dyadic Green functions 3.3.2 Radiation from point-electric dipole 3.3.3 Radiation from point-magnetic dipole 3.4 Uniaxial magnetic medium 3.5 Uniaxial dielectric-magnetic medium 3.5.1 Dyadic Green functions 3.5.2 Radiation from point-electric dipole 3.5.3 Radiation from point-magnetic dipole 3.6 Axially uniaxial reciprocal medium 3.7 Axially uniaxial nonreciprocal medium 3.8 Anisotropic chiral reciprocal medium 3.9 Cross-handed gyrotropy 3.10 General self-dual bianisotropic medium 3.11 A special gyrotropic bianisotropic medium 3.12 General uniaxial bianisotropic medium 3.12.1 Non-gyrotropic medium 3.12.2 Gyrotropic medium 3.13 Transformable medium 3.13.1 Dyadic Green functions 3.13.2 Extensions 3.13.3 Pathologically unirefringent uniaxial dielectric-magnetic medium 3.13.4 Medium inspired by general relativity 3.13.5 Orthorhombic dielectric-magnetic medium with gyrotropic magnetoelectric properties 4 Bilinear Expansions 4.1 Isotropic dielectric-magnetic medium 4.1.1 Cartesian coordinate system 4.1.2 Cylindrical coordinate system 4.1.3 Spherical coordinate system 4.2 Isotropic chiral medium 4.2.1 Cartesian coordinate system 4.2.2 Cylindrical coordinate system 4.2.3 Spherical coordinate system 4.3 Orthorhombic dielectric-magnetic medium 4.3.1 Special case: x = y = 5 Applications of Dyadic Green Functions 5.1 The Ewald{Oseen extinction theorem 5.1.1 Constitutive relations 5.1.2 Dyadic Green functions 5.1.3 Huygens principle 5.1.4 Ewald{Oseen extinction theorem 5.1.5 Surface integral equations for scattering 5.2 Fields in the source region 5.2.1 Depolarization dyadic 5.2.2 Depolarization dyadics for bianisotropic mediums 5.3 Volume integral equations for scattering 5.3.1 Formulation 5.3.2 Method of moments 5.3.3 Polarizability-density dyadics 5.3.4 Coupled-dipole method 5.4 Homogenization A Dyadics and Dyads A.1 Matrix representation A.2 Useful identities About the authors