A simple method for calculating the H-matrix for molecular scattering

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Depolarization, Radiative Transfer, Scattering, Albedo, Eigenvectors, Iterative Solution, Planetary Atmospheres

Scientific paper

Two iterative methods are described to calculate the H-matrix for molecular scattering including depolarization. These methods extend the work on scalar H-functions published earlier by Bosma and De Rooij (1983) and are based on an alternative form of the equation for the H-matrix, which will be derived in the present paper. The alternative equation has two well-separated solutions, which makes it easy to recognize the relevant solution and to solve the uniqueness problem. The iterative schemes are easy to program, show fast iterative convergence and do not impose any restriction on the accuracy of the calculations. The H-matrix and the pertaining scalar H-functions are given in 10 decimals for two values of the depolarization factor and four values of the albedo for single scattering.

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