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Some Inverse Problem for the Polarized-Radiation Transfer Equation

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Modeling, Simulation and Optimization of Complex Processes

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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.

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Authors and Affiliations

  1. Far Eastern National University, Vladivostok, Russia

    A. E. Kovtanyuk

  2. Institute of Applied Mathematics FEBRAS, Vladivostok, Russia

    I. V. Prokhorov

Authors
  1. A. E. Kovtanyuk
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  2. I. V. Prokhorov
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Corresponding author

Correspondence to A. E. Kovtanyuk .

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Editors and Affiliations

  1. Interdisziplinäres Zentrum für, Wissenschaftliches Rechnen (IWR), Universität Heidelberg, Im Neuenheimer Feld 368, Heidelberg, 69120, Germany

    Hans Georg Bock

  2. and Technology (VAST), Institute of Mathematics, Vietnamese Academy of Science, Hoang Quoc Viet Road, Hanoi, 10307, Vietnam

    Xuan Phu Hoang

  3. , Interdisciplinary Center for, University of Heidelberg, Im Neuenheimer Feld 368, Heidelberg, 69120, Germany

    Rolf Rannacher

  4. , Interdisciplinary Center for, University of Heidelberg, Im Neuenheimer Feld 368, Heidelberg, 69120, Germany

    Johannes P. Schlöder

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© 2012 Springer-Verlag Berlin Heidelberg

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Kovtanyuk, A.E., Prokhorov, I.V. (2012). Some Inverse Problem for the Polarized-Radiation Transfer Equation. In: Bock, H., Hoang, X., Rannacher, R., Schlöder, J. (eds) Modeling, Simulation and Optimization of Complex Processes. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25707-0_17

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