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Modeling of the radiation transfer under partial frequency redistribution

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Abstract

A model is developed of the resonance radiation transfer under partial redistribution over frequencies. The media’s condition is described via the rate population balance equations for the two-level atom. The spectral intensity of the scattered radiation is calculated according to the stationary transfer equation. The light scattering by the atoms is modeled by a linear combination of the angle-averaged redistribution functions, R II and R III. The obtained integro-differential equation system is solved numerically taking into account the radiation transfer in a cylindrical gas containing volume. The influence is investigated of the partial frequency redistribution on the sodium atom resonance line (λ = 589 nm) profile as well as on the efficient vapor afterglow duration depending on its optical thickness.

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Authors and Affiliations

  1. Siberian Law Institute of the Ministry of Internal Affairs of Russia, Krasnoyarsk, Russia

    N. I. Kosarev

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  1. N. I. Kosarev
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Original Russian Text © N.I. Kosarev, 2008, published in Matematicheskoe Modelirovanie, 2008, Vol. 20, No. 3, pp. 87–97.

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Kosarev, N.I. Modeling of the radiation transfer under partial frequency redistribution. Math Models Comput Simul 1, 274–282 (2009). https://doi.org/10.1134/S2070048209020100

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