Optics of a Faraday-active Mie Sphere

Abstract

We present an exact calculation for the scattering of light from a single sphere made of a Faraday-active material, into first order of the external magnetic field. When the size of the sphere is small compared to the wavelength the known T-matrix for a magneto-active Rayleigh scatterer is found. We address the issue whether or not there is a so called Photonic Hall Effect - a magneto-transverse anisotropy in light scattering - for one Mie scatterer. In the limit of geometrical optics, we compare our results to the Faraday effect in a Fabry-Perot etalon.

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