Infinite-space dyadic Green functions in electromagnetism
Electromagnetic theory Green's functions
IOP Publishing
2018
EISBN 9781681745572
1. Introduction.
1.1. Concept of infinite-space dyadic Green functions.
1.2. Examples of linear operators.
1.3. Linear electromagnetism.
1.4. Solution approaches.
1.5. Organization of the monograph
2. Isotropic and biisotropic mediums.
2.1. Isotropic dielectric-magnetic medium.
2.2. Isotropic chiral medium.
2.3. Lorentz-nonreciprocal biisotropy
3. Anisotropic and bianisotropic mediums.
3.1. Symmetry and antisymmetry.
3.2. Uniaxial mediums.
3.3. Uniaxial dielectric medium.
3.4. Uniaxial magnetic medium.
3.5. Uniaxial dielectric-magnetic medium.
3.6. Lorentz-reciprocal, axially uniaxial, bianisotropic medium.
3.7. Lorentz-nonreciprocal, axially uniaxial, bianisotropic medium.
3.8. Lorentz-reciprocal, anisotropic chiral, isotropic dielectric-magnetic medium.
3.9. Anisotropic dielectric-magnetic medium with cross-handed gyrotropy.
3.10. General self-dual bianisotropic medium.
3.11. A special gyrotropic bianisotropic medium.
3.12. General uniaxial bianisotropic medium.
3.13. Transformable medium
4. Bilinear expansions.
4.1. Isotropic dielectric-magnetic medium.
4.2. Isotropic chiral medium.
4.3. Orthorhombic dielectric-magnetic medium with gyrotropic magnetoelectric properties
5. Applications of dyadic Green functions.
5.1. The Ewald-Oseen extinction theorem.
5.2. Fields in the source region.
5.3. Volume integral equations for scattering.
5.4. Homogenization.
Appendix A. Dyadics and dyads.
In any linear system the input and the output are connected by means of a linear operator. When the input can be notionally represented by a function that is null valued everywhere except at a specific location in spacetime, the corresponding output is called the Green function in field theories. Dyadic Green functions are commonplace in electromagnetics, because both the input and the output are vector functions of space and time. This book provides a survey of the state-of-the-art knowledge of infinite-space dyadic Green functions. Part of Series on Electromagnetics and Metamaterials
1.1. Concept of infinite-space dyadic Green functions.
1.2. Examples of linear operators.
1.3. Linear electromagnetism.
1.4. Solution approaches.
1.5. Organization of the monograph
2. Isotropic and biisotropic mediums.
2.1. Isotropic dielectric-magnetic medium.
2.2. Isotropic chiral medium.
2.3. Lorentz-nonreciprocal biisotropy
3. Anisotropic and bianisotropic mediums.
3.1. Symmetry and antisymmetry.
3.2. Uniaxial mediums.
3.3. Uniaxial dielectric medium.
3.4. Uniaxial magnetic medium.
3.5. Uniaxial dielectric-magnetic medium.
3.6. Lorentz-reciprocal, axially uniaxial, bianisotropic medium.
3.7. Lorentz-nonreciprocal, axially uniaxial, bianisotropic medium.
3.8. Lorentz-reciprocal, anisotropic chiral, isotropic dielectric-magnetic medium.
3.9. Anisotropic dielectric-magnetic medium with cross-handed gyrotropy.
3.10. General self-dual bianisotropic medium.
3.11. A special gyrotropic bianisotropic medium.
3.12. General uniaxial bianisotropic medium.
3.13. Transformable medium
4. Bilinear expansions.
4.1. Isotropic dielectric-magnetic medium.
4.2. Isotropic chiral medium.
4.3. Orthorhombic dielectric-magnetic medium with gyrotropic magnetoelectric properties
5. Applications of dyadic Green functions.
5.1. The Ewald-Oseen extinction theorem.
5.2. Fields in the source region.
5.3. Volume integral equations for scattering.
5.4. Homogenization.
Appendix A. Dyadics and dyads.
In any linear system the input and the output are connected by means of a linear operator. When the input can be notionally represented by a function that is null valued everywhere except at a specific location in spacetime, the corresponding output is called the Green function in field theories. Dyadic Green functions are commonplace in electromagnetics, because both the input and the output are vector functions of space and time. This book provides a survey of the state-of-the-art knowledge of infinite-space dyadic Green functions. Part of Series on Electromagnetics and Metamaterials
