|
Sibirskii Zhurnal Vychislitel'noi Matematiki, 2008, Volume 11, Number 1, Pages 55–68
(Mi sjvm33)
|
|
|
|
This article is cited in 8 scientific papers (total 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.
Received: 05.10.2006 Revised: 22.03.2007
Citation:
A. E. Kovtanyuk, I. V. Prokhorov, “Numerical solution of the inverse problem for the polarized-radiation transfer equation”, Sib. Zh. Vychisl. Mat., 11:1 (2008), 55–68; Num. Anal. Appl., 1:1 (2008), 46–57
Linking options:
https://www.mathnet.ru/eng/sjvm33 https://www.mathnet.ru/eng/sjvm/v11/i1/p55
|
Statistics & downloads: |
Abstract page: | 751 | Full-text PDF : | 147 | References: | 49 | First page: | 1 |
|