Abstract
We suggested and substantiated an algorithm for solving the inverse problem of determining the coefficient of absorption of light for the case of a disperse medium (body) V from the known time scans of the powers (fluxes) of radiation. The algorithm is based on strict integral relations and is applied when the coefficient of scattering, scattering indicatrix, and the optical dimensions of the body V are unknown. Using the properties of the solutions of direct boundary-value problems of radiation transfer theory and statistical modeling, the efficiency of the algorithm for disperse media of various configurations is shown.
Similar content being viewed by others
REFERENCES
G. V. Rozenberg, in: B. I. Stepanov (ed.), Spectroscopy of Light Scattering Media[in Russian], Collection of Papers, Minsk (1963), pp. 5–36.
B. I. Stepanov and A. P. Ivanov (eds.), in: Theoretical and Applied Problems of Light Scattering[in Russian], Minsk (1971), pp. 245–292.
EÉ. P. Zege and I. L. Katsev, Zh. Prikl. Spektrosk., 33, 550–556 (1980).
EÉ. P. Zege and I. L. Katsev, Temporal Asymptotic Solutions of the Equation of Radiation Transfer and Their Application[in Russian], Preprint of the Institute of Physics of the BSSR Academy of Sciences, Minsk (1973).
I. N. Minin, in: The Theory of Radiation Transfer in the Atmospheres of Planets[in Russian], Moscow (1988), pp. 138–140.
V. V. Tuchin, Usp. Fiz. Nauk, 167, No. 5, 517–539 (1997).
A. P. Ivanov, I. I. Kalinin, A. L. Skrelin, and I. D. Sherbaf, Izv. Akad. Nauk SSSR, Fiz. Atm. Okeana, 8, No. 8, 884–890 (1972).
C. F. Bohren and D. R. Huffman, in: Absorption and Scattering of Light by Small Particles[Russian translation], Moscow (1986), pp. 396–407.
N. N. Rogovtsov, Dokl. Akad. Nauk Belarusi, 37, No. 4, 34–38 (1993).
N. N. Rogovtsov, in: Properties and Principles of Invariance. Application to Solution of the Problems of Mathematical Physics[in Russian], Pt. 1, Minsk (1999), pp. 369–374.
N. N. Rogovtsov, Dokl. Akad. Nauk BSSR, 25, No. 5, 420–423 (1981).
B. C. Wilson and S. L. Jacques, IEEE J. Quant. Electron., 26, No. 12, 2186–2199 (1990).
V. S. Korolyuk, N. I. Portenko, A. V. Skorokhod, et al., in: Handbook Probability Theory and Mathematical Statistics[in Russian], Moscow, (1985), pp. 240–245.
D. I. Nagirner, Astrofizika., 10, No. 3, 445–469 (1974).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Anisimov, V.Y., Rogovtsov, N.N. Determination of the Coefficient of Light Absorption via Transformation of a Pulse in a Disperse Medium. Journal of Applied Spectroscopy 69, 884–895 (2002). https://doi.org/10.1023/A:1022418622113
Issue Date:
DOI: https://doi.org/10.1023/A:1022418622113