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Transport Equations for Photon Flow Exploiting the Theory of Markov Processes with Random Structure Part 1: Derivation of Basic Equations

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Abstract

A representation of transport equations is developed describing photon flow or other processes with similar properties. The transport equations are derived through a Markov stochastic approach formulated by a set of stochastic differential equations. The proposed approach provides a two-step description of the photon flow. In the first step, the equations for the probability density distribution function (PDF) of the single photon coordinates are found. The second step contains the convolution in time of the PDF to obtain the density distribution of the photon flow. This representation is necessary to apply appropriate analytical methods for the determination of the photon flow characteristics.

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Authors and Affiliations

  1. Federal Institute for Materials Research and Testing (BAM), Unter den Eichen 87, 12205, Berlin, Germany

    Gerd-Rüdiger Tillack

  2. Institute for Applied Physics, Academicheskaya Str. 16, 220072, Minsk, Belarus

    Valentin M. Artemiev & Alexander O. Naumov

Authors
  1. Gerd-Rüdiger Tillack
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  2. Valentin M. Artemiev
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  3. Alexander O. Naumov
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Tillack, GR., Artemiev, V.M. & Naumov, A.O. Transport Equations for Photon Flow Exploiting the Theory of Markov Processes with Random Structure Part 1: Derivation of Basic Equations. Journal of Nondestructive Evaluation 20, 153–161 (2001). https://doi.org/10.1023/A:1014717325561

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