Scattering of polarized light - Properties of the elements of the phase matrix

Mathematics

Scientific paper

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Light Beams, Light Scattering, Light Transmission, Polarized Light, Matrices (Mathematics), Radiative Transfer

Scientific paper

A structural analysis of the phase matrix relevant to the scattering of light by a small volume-element in a plane-parallel atmosphere is presented. This 4×4 matrix transforms the Stokes parameters of an incident beam into those of a scattered beam when planes of reference through the direction of propagation and the normal to the atmosphere are used for the definition of the Stokes parameters. First, relations between elements of the phase matrix and those of the scattering matrix are derived under fairly general assumptions. It is further shown that there are 8 basic equations which only involve elements of the phase matrix and are valid for arbitrary directions. A number of inequalities for the elements of the phase matrix is presented. Finally, relations involving elements of the azimuth decomposed phase matrices are given.

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