Vol. 29, issue 09, article # 3

Abstract:

It is shown that the regular part of the solution (RPS) remained after the separation of the anisotropic part of the solution (APS) in the small-angle modification of the spherical harmonics method (MSH) is a smooth quasi-isotropic function with some peaks in the angular distribution. The smooth part of the RPS without peaks can be determined in two-streaming or diffuse approximation. The first iteration of the resulting radiance angular distribution significantly refines the solution and allows restoring the specified angular peaks. Quasi-diffusion approach – the separation of APS by MSH, the definition of RPS in the diffuse approximation and refinement of solutions based on the first iteration, – is independent of the problem symmetry, and therefore can be generalized to the case of arbitrary medium geometry.

Keywords:

discrete radiative transfer equation, quasi-diffusion approximation, synthetic iteration

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