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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 27, Iss. 3 — Feb. 1, 1988
  • pp: 599–602

Exact solution of the characteristic equation for transfer in the anisotropically scattering and absorbing medium

Vladimir I. Haltrin  »View Author Affiliations


Applied Optics, Vol. 27, Issue 3, pp. 599-602 (1988)
http://dx.doi.org/10.1364/AO.27.000599


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Abstract

A special form of anisotropic scattering phase function is shown to provide an exact solution of the characteristic equation for radiation transfer at depth within a scattering and absorbing medium. The solution is the Henyey-Greenstein function, the degree of extension of which depends on the albedo for single scattering and on the parameter of the phase function. Good applicability of the formulas obtained for a description of integral parameters of light fields in the seawater depth has been demonstrated.

© 1988 Optical Society of America

History
Original Manuscript: June 8, 1987
Published: February 1, 1988

Citation
Vladimir I. Haltrin, "Exact solution of the characteristic equation for transfer in the anisotropically scattering and absorbing medium," Appl. Opt. 27, 599-602 (1988)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-27-3-599


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References

  1. This study was reported at the Ninth Plenary Session of Working Group on Oceanic Optics USSR Academy of Sciences, Batumi, 3–5 Oct. 1984: V. I. Khalturin (V. I. Haltrin), “One Accurate Solution of the Equation for Transport in the Depth of a Scattering Medium,” in Optics of Sea and Atmosphere: Theses of Reports, K. S. Shifrin, B. I. Utenkov, Eds. (S. I. Vavilov State Optical Institute, Leningrad, 1984), pp. 175–176.
  2. E. P. Zege, A. P. Ivanov, I. L. Katsev, Image Transfer in Scattering Media (NaukaTekh., Minsk, 1985), 328 pp.
  3. B. Friedman, Principles and Techniques of Applied Mathematics (Wiley, New York, 1965), 315 pp.
  4. V. S. Vladimirov, Equations of Mathematical Physics (Dekker, New York, 1971), 418 pp.
  5. A. Morel, R. Smith, “Terminology and Units in Optical Oceanography,” Mar. Geod. 5 (4), 335 (1982). [CrossRef]
  6. V. A. Timofeyeva, “Determination of Light-Field Parameters in the Depth Regime from Irradiance Measurements,” Izv. Akad. Nauk. SSSR Fiz. Atmos. Okeana 15, 774 (1979).
  7. H. R. Gordon, D. B. Brown, M. M. Jackobs, “Computed Relationships Between the Inherent and Apparent Optical Properties of a Flat Homogeneous Ocean,” Appl. Opt. 14, 417 (1975). [CrossRef] [PubMed]
  8. G. A. Gamburtsev, “The Question of Sea Color,” J. Russ. Phys. Chem. Soc. Phys. Sec.56, 226 (1924).
  9. M. Gurevich, “Über eine Rationelle Klassifikation der Lichtenstreuenden Medien,” Phys. Z. 31, 753 (1930).
  10. P. Kubelka, F. Munk, “Ein Beitrag zur Optik der Farbanstriche,” Z. Tech. Phys. 12, 593 (1931).
  11. A. Morel, L. Prieur, “Analysis of Variations in Ocean Color,” Limnol. Oceanogr. 22, 709 (1977). [CrossRef]
  12. V. I. Khalturin (V. I. Haltrin), “The Self-Consistent Two-Flux Approximation to the Theory of Radiation Transfer,” Izv. Akad. Nauk SSSR Fiz. Atmos. Okeana 21, 589 (1985).

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