Mie scattering by a uniaxial spherical shell with single-negative materials

On the basis of the spherical vector wave functions(SVWFs) in source-free uniaxial anisotropic medium, the electromagnetic fields in a homogeneous uniaxial spherical shell with single-negative (SNG) materials can be expanded as a addition of the first and the second SVWFs in uniaxial anisotropic medium with SNG materials. Applying the continue boundary conditions on the surface between uniaxial anisotropic medium with SNG materials and isotropic medium, the expansion coefficients of scattered fields from a uniaxial spherical shell with SNG materials by a plane wave can be obtained and then the EM scattering by a uniaxial spherical shell with SNG materials can be characterized. Numerical results between this paper and Mie theory are obtained, it is a good agreement as we expected, some new numerical results of scattering by a uniaxial spherical shell with SNG materials are illustrated.