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Transport of light radiation in a spatially finite three-dimensional scattering medium

  • Optics and Spectroscopy
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Abstract

We propose a new method for solving radiation transport problems, which permits including in analytic form for the case of normal incidence the effect of spatial finiteness of the scattering medium. The formation of the light field accompanying changes in the optical parameters and optical dimensions of the medium is analyzed.

this paper, we examine the simplest case of a geometry of a scattering medium in the form of a parallelipiped with optical length τx, height τy, and width τz. The analysis is performed for the case λ=1, τy = τz with the latter varying in the range 0.1 to ∞. The results obtained show that the light field depends strongly on the optical dimensions of the medium. The limiting values of the optical dimensions (τy = τz), beginning with which the spatial finiteness of the medium can be neglected, are determined.

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Literature cited

  1. V. V. Sobolev, Light Scattering in Planetary Atmospheres, Pergamon (1974).

  2. É. P. Zege, “Two-flux approximation in the theory of radiation transfer,” Preprint IF Akad. Nauk BSSR, Minsk (1971).

  3. G. V. Rozenberg, Usp. Fiz. Nauk,11, No. 2, (1960).

  4. E. M. Feigel'son and L. D. Krasnokutskaya, Solar Radiation Fluxes and Clouds [in Russian], Gidrometeoizdat, Leningrad (1978).

    Google Scholar 

  5. G. I. Marchuk, G. A. Mikhailov, M. A. Nazaraliev, and R. A. Derbinyan, Solution of Direct and Some Inverse Problems by the Monte Carlo Method [in Russian], Nauka, Novosibirsk (1968).

    Google Scholar 

  6. T. A. Germogenova, Zh. Vychisl. Mat. M/at. Fiz., No. 6 (1961).

  7. B. A. Savel'ev, Dep. VINITI, Reg. No. 547-78 Dep.

  8. S. B. Mogil'nitskii, and B. A. Savel'eva, Dep. VINITI, Reg. No. 2033–79.

  9. A. P. Ivanov, Physical Foundations of Hydrooptics [in Russian], Nauka i Tekhnika, Minsk (1975).

    Google Scholar 

  10. V. E. Zuev, Propagation of Visible and Infrared Waves in the Atmosphere [in Russian], Sov. Radio, Moscow (1970).

    Google Scholar 

  11. S. B. Mogil'nitskii, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 11, 117 (1979).

    Google Scholar 

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Translated from Izvestiya Vysshikh Uchebnykh Zavednii, Fizika, No. 8, pp. 82–85, August, 1982.

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Savel'ev, V.A., Mogil'nitskii, S.B. Transport of light radiation in a spatially finite three-dimensional scattering medium. Soviet Physics Journal 25, 752–756 (1982). https://doi.org/10.1007/BF00895255

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  • DOI: https://doi.org/10.1007/BF00895255

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