“…Applications of gyroelectric spheres are found in the electromagnetic (EM) interaction with complex property media, like garnet spheres which exhibit gyrotropic permittivity tensors [4], hyperbolic metamaterials where a periodic dielectric-metal structure gives rise to gyroelectric properties [5], or in photonic crystals which are composed by gyroelectric spheres. EM scattering in anisotropic materials is a difficult problem that has been treated for a long time in the past, and recently through a variety of approximate methods [6][7][8]. A first approximation is the Rayleigh approximation [6], where the scattering process is supposed to take place within the context of the Laplace equation, i.e., the electric field in the vicinity of the scatterer is nearly irrotational.…”