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. : 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

Magnetotransverse Scattering of Surface Plasmon Polaritons

“…As we did find a magnetotransverse SPP flux, this suggests that the difference between these two cases might not be decisive with respect to the symmetry breaking. This would be comparable to the three-dimensional photonic Hall effect, where a correspondence between the magnetotransverse scattering of one single Mie scatterer and diffusive transport, has been found [15].…”

Optical Beam Steering Based on the Symmetry of Resonant Modes of Nanoparticles

“…Therefore, it may serve as optical component for beam steering in the chip-tochip interconnect systems and on-chip architecture. It is noted that one way to steer light by a magnetic field was proposed based on photonic hall effect [13]. Recently, a series of important progress has been made toward the on-chip beam steering, including the use of the photonic crystal [14], nano Yagi-Uda antenna [15] and flat dielectric gratings [16].…”

Light scattering by optically anisotropic scatterers:T-matrix theory for radial and uniform anisotropies

“…Likewise, we see from Fig. 3 that the depolarisation factor (25) as a function of the scattering angle, θ sca , is also very sensitive to the presence of anisotropy.…”