Some Inverse Problem for the Polarized-Radiation Transfer Equation

A. E. Kovtanyuk () and I. V. Prokhorov ()
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A. E. Kovtanyuk: Far Eastern National University
I. V. Prokhorov: Institute of Applied Mathematics FEBRAS

A chapter in Modeling, Simulation and Optimization of Complex Processes, 2012, pp 207-217 from Springer

Abstract: Abstract An inverse problem for the steady vector transfer equation for polarized radiation 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 proposed which relates the Radon transform of an attenuation factor to a solution of the equation at the medium boundary. Numerical experiments show that the proposed reconstruction algorithm for the polarized-radiation transfer equation has an advantage over the similar method for the scalar case.

Keywords: Inverse Problem; Vector Function; Transfer Equation; Direct Problem; Attenuation Factor (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-25707-0_17

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DOI: 10.1007/978-3-642-25707-0_17

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