Methods of spherical harmonics. Application to the transfer of polarized radiation in a vertically nonuniform planetary atmosphere. Mathematical apparatus.

Physics

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Planetary Atmospheres: Radiative Transfer

Scientific paper

A generalization of the method of spherical harmonics (MSH) is proposed for solving the equation of transfer of electromagnetic radiation with allowance for polarization. The proposed method retains the main features of the MSH for the scalar case and is applicable to models of plane-parallel atmospheres having arbitrary vertical nonuniformity. The angular dependence of the solution is represented in the form of an expansion in generalized spherical functions. The basic equations of the method are derived. The Stokes-Poincaré representation used for the radiation-intensity vector, as well as the functions used, are described in appendices.

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