The matrix Riccati equation for scattering from stratified chiral spheres

Angular scattering from radially stratified spherical chiral objects is investigated. Based on the principles of invariant embedding, we formulate a matrix Riccati equation that can be used to examine basic scattering properties of spherical chiral structures with radial inhomogeneities in permittivity, permeability, and chirality. High- and low-frequency limits as well as weak reflection and constant impedance cases for this equation are examined. We show that in the limit of large radii of curvature, this formulation yields the planar result