Radial Anisotropy in Spheroidal Scatterers

This paper discusses a spheroidal scatterer in a uniform, static electric field. The scatterer is assumed to be anisotropic and inhomogeneous in a way that relates to the spheroidal coordinate systems, that come in two varieties. The study expands on former research conducted upon radially anisotropic (RA) spheres. The new class of objects concerned resembles the formerly studied RA spheres, with the distinction that spheroidal instead of spherical coordinate system determines the axes of anisotropy. An analytical method to tackle the problem is developed. The results are validated analytically by comparing well-known special cases of spheroids: spheres, disks, and needles.