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The Lorenz--Mie formulation of electromagnetic scattering by a homogeneous,isotropic, dielectric-magnetic sphere was extended to incorporate topologicallyinsulating surface states characterized by a surface admittance $\gamma$.Closed-form expressions were derived for the expansion coefficients of thescattered field phasors in terms of those of the incident field phasors. Theseexpansion coefficients were used to obtain analytical expressions for the totalscattering, extinction, forward scattering, and backscattering efficiencies ofthe sphere. Resonances exist for relatively low values of $\gamma$, when thesphere is either nondissipative or weakly dissipative. For large  values of $\gamma$, the scattering characteristics are close to that of aperfect electrically conducting sphere, regardless of whether the sphere iscomposed of a dissipative or nondissipative material, and regardless of whetherthat material supports planewave propagation with positive or negative phasevelocity.

Electromagnetic scattering by homogeneous, isotropic, dielectric-magnetic sphere with topologically insulating surface states