Polarized light in planetary atmospheres for perpendicular directions

Mathematics

Scientific paper

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Circular Polarization, Light Scattering, Planetary Atmospheres, Polarized Light, Radiative Transfer, Fourier Series, Matrices (Mathematics), Stokes Law Of Radiation, Planets, Atmosphere, Polarization, Light (Visible), Radiative Transfer, Scattering, Geometry, Radiaiton

Scientific paper

A plane-parallel atmosphere with perpendicularly incident light or scattered light travelling in perpendicular directions is considered. It is shown on the basis of general geometrical arguments that substantial simplifications arise compared with situations in which no perpendicular directions are involved. The azimuth dependence of the radiation field is explicitly derived and shown to require only one or two terms in a Fourier series expansion. When the incident light illuminates the atmosphere perpendicularly, the scattered light travelling in perpendicular directions up and down can be described by matrices which have the same simple form as the scattering matrix of a volume-element has for strictly backward and forward scattering, respectively.

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