State of polarization of light scattered by colored spheroids.

概要

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Using the light-scattering theory of Rayleigh–Gans for spheroids, theoretical expressions were derived for the polarization state of light scattered by randomly oriented small and colored spheroidal particles in the case of linearly polarized incident light with an angle of inclination of ψ to the scattering plane. The azimuth angle ζ of the ellipse of the scattered light did not depend on the axial ratio p and the relative complex refractive index m (=m0−ik0), but was a function of only the scattering angle θ and ψ; also, the ellipticity of the ellipse of the scattered light was always equal to 0 and the scattered light was partially linearly polarized for linearly polarized incident light. The degree of polarization of the scattered light for spheroidal particles, P, defined as the ratio of the polarized component to the intensity of the scattered light, depended strongly on p, m0, k0, and θ together with the angle ψ. This P was found to be smaller than 1. In the case of spherical particles, P was always equal to 1 at any θ; this means that the scattered light was perfectly polarized. It has been concluded that a determination of P as a function of ψ and θ gives good information regarding the shape and the optical constants (m0 and k0) of the colored spheroidal particles.
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