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. : 42.25.Fx, 78.20.Ls W = V 0 Bλ, and the coefficients: (12) with A J (y) = u ′ J (y)/u J (y) and B the amplitude of the magnetic field directed along the unit vectorB . Absorption in the sphere is still allowed. We will consider the limiting case of a perfect dielectric sphere with no absorption ( ℑm(m) → 0 ). Using l'Hospital's rule in Eqs. (11) and (12), we obtain immediately for this case:
PACS
We describe an experimental and theoretical study of the effect of optical absorption on the photonic Hall effect in a passive matrix containing magnetoactive scatterers. We find that for the case of absorbing scatterers, the magnetotransverse light current changes sign and increases with increasing absorption. Good agreement is obtained with numerical calculations. For the case of an absorbing matrix, no effect was observed.
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