Geodesic
Numerical solution of the inverse problem for the polarized-radiation transfer equation
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 11 (2008) no. 1, pp. 55-68

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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. 
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     author = {A. E. Kovtanyuk and I. V. Prokhorov},
     title = {Numerical solution of the inverse problem for the polarized-radiation transfer equation},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
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A. E. Kovtanyuk; I. V. Prokhorov. Numerical solution of the inverse problem for the polarized-radiation transfer equation. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 11 (2008) no. 1, pp. 55-68. http://geodesic.mathdoc.fr/item/SJVM_2008_11_1_a4/