Theory of perturbation of electric potential by a 3D object made of an anisotropic dielectric material

Abstract

The extended boundary condition method (EBCM) was formulated for the perturbation of a source electric potential by a 3D object composed of a homogeneous anisotropic dielectric medium whose relative permittivity dyadic is positive definite. The formulation required the application of Green's second identity to the exterior region to deduce the electrostatic counterpart of the Ewald--Oseen extinction theorem. The electric potential inside the object was represented using a basis obtained by implementing an affine bijective transformation of space to the Gauss equation for the electric field. The EBCM yields a transition matrix that depends on the geometry and the composition of the 3D object, but not on the source potential.

References in corpus (3)

• Electrostatic limit of the $T$-matrix for electromagnetic scattering: Exact results for spheroidal particles
• Theory of perturbation of electrostatic field by an anisotropic dielectric sphere
• Plane-wave scattering by an ellipsoid composed of an orthorhombic dielectric-magnetic material with arbitrarily oriented constitutive principal axes