This article is cited in 8 papers

Numerical solution of the inverse problem for the polarized-radiation transfer equation

A. E. Kovtanyuk, I. V. Prokhorov

Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences

Abstract: In this paper, an inverse problem for the time-independent vector transfer equation for polarized radiation in an isotropic medium is studied. In this problem, it is required to find the attenuation factor from a known solution of the equation at the medium interface. An approach, based on using special external radiative sources, is proposed for solving this problem. A formula is derived which relates the Radon transform of the attenuation factor with the radiation-flux density at the boundary. The numerical experiments have shown an advantage of the algorithm for the polarized-radiation transfer equation over the one for scalar case.

Key words: vector transfer equation, polarized radiation, attenuation factor, Radon transform, Monte Carlo method.

UDC: 517.958:536.71

Received: 05.10.2006
Revised: 22.03.2007

 English version: Numerical Analysis and Applications, 2008, 1:1, 46–57

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