Abstract
The Mie series solution for the scattered field of a sphere with an anisotropic impedance boundary condition (IBC) is derived along with the corresponding scattering cross section. Conditions on the impedance that ensure a unique solution for the scattered field are derived. The anisotropic IBC is derived for a material with an anisotropic electric permittivity and a large anisotropic conductivity. For the special case of an isotropic IBC, a method is presented for testing whether any given impedance leads to a unique solution for the scattered field, and it is shown that, for every incident wave frequency and mode number l, there are exactly two values of the impedance for which the scattered field is not unique.
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