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Some Inverse Problem for the Polarized-Radiation Transfer Equation

In: Modeling, Simulation and Optimization of Complex Processes

Author

Listed:
  • A. E. Kovtanyuk

    (Far Eastern National University)

  • I. V. Prokhorov

    (Institute of Applied Mathematics FEBRAS)

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.

Suggested Citation

  • A. E. Kovtanyuk & I. V. Prokhorov, 2012. "Some Inverse Problem for the Polarized-Radiation Transfer Equation," Springer Books, in: Hans Georg Bock & Xuan Phu Hoang & Rolf Rannacher & Johannes P. Schlöder (ed.), Modeling, Simulation and Optimization of Complex Processes, edition 127, pages 207-217, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-25707-0_17
    DOI: 10.1007/978-3-642-25707-0_17
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