Vol. 24, issue 12, article # 10

Budak V. P., Efremenko D. S., Shagalov O. V. Comparative analysis of algorithms of vectorial radiative transfer equation for slab by solution efficiency. // Optika Atmosfery i Okeana. 2011. V. 24. No. 12. P. 1088-1098 [in Russian].
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The numerical solution of the vectorial radiative transfer equation (VRTE) is possible only after its discretization, which is impossible without the separation of anisotropic part in the solution, including all the singularities. Discretized VRTE for the turbid medium slab has unique analytical solution in the matrix form. Modern packages of matrix (linear) algebra allow only one possible algorithm of VRTE computer solution. Various realizations of such algorithm differ by the method of the solution anisotropic part separation. Methods of the anisotropic part separation are analyzed in the paper. It is shown that the most effective method is based on the small angle modification of the spherical harmonics (MSH). The codes, created by the authors, of these methods in the simple situation in order to define the effect of the method on the code efficiency are analyzed. The influence of different properties of hard and software on the code, based on MSH, is analyzed more in detail.


discrete ordinate method, anisotropic scattering, slab geometry