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

Abstract

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

References in corpus (1)

• Topological Field Theory of Time-Reversal Invariant Insulators

Cited by in corpus (4)

• Axion Mie Theory of Electron Energy Loss Spectroscopy in Topological Insulators
• van de Hulst Essay: Geometric-phase portrayal of electromagnetic scattering by a three-dimensional object in free space
• Axion electrodynamics of Weyl superconductors with broken time-reversal symmetry
• Equatorial magnetoplasma waves