Bi-isotropic Prolate Rotational Ellipsoid in a Homogeneous Axial Electric Field

A bi-isotropic prolate rotational ellipsoid in a homogeneous axial electric field is considered in this paper. By solving of Laplace's and Poisson's equation, the expressions for electric and magnetic scalar potential and electric and magnetic field, inside and outside of an ellipsoid, are completely determined. In the case of bi-isotropic parameter equal to zero, they reduce to known expressions of a pure dielectric ellipsoid. Polarization in the bi-isotropic ellipsoid is determined as well.