Vector spherical wavefunctions for orthorhombic dielectric-magnetic material with gyrotropic-like magnetoelectric properties

TL;DR

This paper derives vector spherical wavefunctions and Green functions for an orthorhombic dielectric-magnetic material with gyrotropic-like magnetoelectric properties, facilitating electromagnetic scattering analysis.

Contribution

It provides the first closed-form vector spherical wavefunctions and Green function expressions for this complex anisotropic material.

Findings

Derived closed-form vector spherical wavefunctions.

Formulated the T matrix for scattering analysis.

Obtained a bilinear expansion of the Green function.

Abstract

Vector spherical wavefunctions were derived in closed-form to represent time-harmonic electromagnetic fields in an orthorhombic dielectric-magnetic material with gyrotropic-like magnetoelectric properties. These wavefunctions were used to formulate the T matrix for scattering by a three-dimensional object composed of the chosen material. Furthermore, a closed-form, coordinate-free expression of the dyadic Green function for the chosen material was derived. Expressions ascertained for the singularity behavior will be useful for formulating volume integral equations for scattering inside the chosen material. A bilinear expansion of the dyadic Green function was obtained in terms of the derived vector spherical wavefunctions.