Some Inverse Problem for the Polarized-Radiation Transfer Equation

  • A. E. Kovtanyuk
  • I. V. Prokhorov
Conference paper


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.


Inverse Problem Vector Function Transfer Equation Direct Problem Attenuation Factor 
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© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Far Eastern National UniversityVladivostokRussia
  2. 2.Institute of Applied Mathematics FEBRASVladivostokRussia

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