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.
Similar content being viewed by others
Literature cited
V. V. Sobolev, Light Scattering in Planetary Atmospheres, Pergamon (1974).
É. P. Zege, “Two-flux approximation in the theory of radiation transfer,” Preprint IF Akad. Nauk BSSR, Minsk (1971).
G. V. Rozenberg, Usp. Fiz. Nauk,11, No. 2, (1960).
E. M. Feigel'son and L. D. Krasnokutskaya, Solar Radiation Fluxes and Clouds [in Russian], Gidrometeoizdat, Leningrad (1978).
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).
T. A. Germogenova, Zh. Vychisl. Mat. M/at. Fiz., No. 6 (1961).
B. A. Savel'ev, Dep. VINITI, Reg. No. 547-78 Dep.
S. B. Mogil'nitskii, and B. A. Savel'eva, Dep. VINITI, Reg. No. 2033–79.
A. P. Ivanov, Physical Foundations of Hydrooptics [in Russian], Nauka i Tekhnika, Minsk (1975).
V. E. Zuev, Propagation of Visible and Infrared Waves in the Atmosphere [in Russian], Sov. Radio, Moscow (1970).
S. B. Mogil'nitskii, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 11, 117 (1979).
Author information
Authors and Affiliations
Additional information
Translated from Izvestiya Vysshikh Uchebnykh Zavednii, Fizika, No. 8, pp. 82–85, August, 1982.
Rights and permissions
About this article
Cite this article
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
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF00895255