The method of spherical harmonics: Application to the transfer of polarized radiation in a vertically inhomogeneous planetary atmosphere - The mathematical procedure

Mathematics

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Planetary Atmospheres, Polarized Radiation, Radiative Transfer, Spherical Harmonics, Electromagnetic Radiation, Matrices (Mathematics), Optical Thickness

Scientific paper

A generalized spherical-harmonics method (SHM) is proposed for solving the equation of electromagnetic-radiation transfer with allowance for polarization. The proposed method preserves the fundamental features of the SHM for the scalar case and is applicable to models of plane-parallel atmospheres with arbitrary vertical inhomogeneity. The angular dependence of the solution is represented in the form of an expansion in generalized spherical functions.

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