Numerical solution of the inverse problem for the polarized-radiation transfer equation |
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Authors: | A E Kovtanyuk I V Prokhorov |
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Institution: | 1. Institute of Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, ul. Radio 7, Vladivostok, 690041, Russia
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Abstract: | An inverse problem for the steady vector transfer equation for polarized radiation in an isotropic medium is studied. For this problem, an attenuation factor is found from a given solution of the equation at a medium boundary. An approach is propounded to solve the inverse problem by using special external radiative sources. A formula is derived which relates the Radon transform of an attenuation factor to a radiation-flux density at the boundary. Numerical experiments show that the algorithm for the polarized-radiation transfer equation has an advantage over the method used in the scalar case. |
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