title: Mie scattering by an anisotropic object. Part II. Arbitrary-shaped object: differential theory.
abstract: The differential theory of diffraction by an arbitrary-shaped body made of arbitrary anisotropic material is developed. The electromagnetic field is expanded on the basis of vector spherical harmonics, and the Maxwell equations in spherical coordinates are reduced to a first-order differential set. When discontinuities of permittivity exist, we apply the fast numerical factorization to find the link between the electric field vector and the vector of electric induction, developed in a truncated basis. The diffraction problem is reduced to a boundary-value problem by using a shooting method combined with the S-matrix propagation algorithm, formulated for the field components instead of the amplitudes.
authors.affiliation: Institut Fresnel, Unité mixte de Recherche 6133, Marseille, France. brian.stout@fresnel.fr
authors.forename: Brian
authors.initials: B
authors.lastname: Stout
authors.forename: Michel
authors.initials: M
authors.lastname: Nevière
authors.forename: Evgeny
authors.initials: E
authors.lastname: Popov