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Propagation of a light beam in an absorbing medium with large-scale inhomogeneities

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Abstract

A method of solving the radiative transfer equation is proposed; it enables one to take into account the influence of absorption on the angular and spatial distributions of radiation under conditions of sharply anisotropic multiple scattering. For phase functions that decrease with an increase in the scattering angle by the power law, the total flux attenuation and profiles of the angular and spatial distributions in a strongly absorbing medium are studied. The obtained analytical dependences exhibit a good agreement with results of numerical solution of the radiative transfer equation.

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References

  1. A. Ishimaru, Wave Propagation and Scattering in Random Media (Academic, New York, 1978; Mir, Moscow, 1981).

    Google Scholar 

  2. Optics of Oceans, Vol. 1: Physical Optics of Oceans, Ed. by A. S. Monin (Nauka, Moscow, 1983) [in Russian].

    Google Scholar 

  3. E. P. Zege, A. P. Ivanov, and I. L. Katsev, Image Transfer in the Scattering Medium (Nauka i Tekhnika, Minsk, 1985).

    Google Scholar 

  4. L. S. Dolin and I. M. Levin, Handbook of the Theory of Underwater Vision (Gidrometeoizdat, Leningrad, 1991).

    Google Scholar 

  5. J. W. McLean, J. D. Freeman, and R. E. Walker, Appl. Opt. 37(21), 4701 (1998).

    Article  ADS  Google Scholar 

  6. R. E. Walker and J. W. McLean, Appl. Opt. 38(12), 2384 (1999).

    Article  ADS  Google Scholar 

  7. D. J. Gray, Appl. Opt. 51(28), 6753 (2012).

    Article  ADS  Google Scholar 

  8. Y. A. Ilyushin and V. P. Budak, J. Opt. Soc. Am. A 28(7), 1358 (2011).

    Article  ADS  Google Scholar 

  9. L. F. Rojas-Ochoa, S. Romer, F. Scheffold, and P. Schurtenberger, Phys. Rev. E 65(5), 051403 (2002).

    Article  ADS  Google Scholar 

  10. S. D. Campbell, T. P. Garvin, I. L. Goodin, Q. Su, and R. Grobe, Las. Phys. 19(2), 238 (2009).

    Article  ADS  Google Scholar 

  11. V. V. Tuchin, L. V. Wang, and D. A. Zimnyakov, Optical Polarization in Biomedical Applications (Springer, Berlin, 2006).

    Google Scholar 

  12. V. Turzhitsky, J. D. Rogers, N. N. Mutyal, H. K. Roy, and V. Backman, IEEE J. Sel. Top. Quant. Electron. 16(3), 619 (2010).

    Article  Google Scholar 

  13. V. Turzhitsky, A. J. Radosevich, J. D. Rogers, N. N. Mutyal, and V. Backman, J. Biomed. Opt. 16(6), 067007 (2011).

    Article  ADS  Google Scholar 

  14. V. V. Marinyuk and D. B. Rogozkin, Opt. Lett. 37(6), 1026 (2012).

    Article  ADS  Google Scholar 

  15. L. S. Dolin, Izv. Vyssh. Uchebn. Zaved., Radiofiz. 9(1), 61 (1966).

    Google Scholar 

  16. E. E. Gorodnichev, S. V. Ivliev, A. I. Kuzovlev, and D. B. Rogozkin, Opt. Spektrosk. 110(4), 586 (2011).

    Article  ADS  Google Scholar 

  17. E. E. Gorodnichev, S. V. Ivliev, A. I. Kuzovlev, and D. B. Rogozkin, Light Scattering Reviews, Ed. by A. A. Kokhanovsky (Springer-Praxis, 2013), Vol. 8, p. 317.

    Google Scholar 

  18. L. S. Dolin, Dokl. Akad. Nauk SSSR 260(6), 1344 (1981).

    ADS  Google Scholar 

  19. L. S. Dolin, Izv. Vyssh. Uchebn. Zaved., Radiofiz. 26(3), 300 (1983).

    ADS  Google Scholar 

  20. V. S. Remizovich, D. B. Rogozkin, and M. I. Ryazanov, Izv. AN SSSR, FAO 18(6), 623 (1982).

    Google Scholar 

  21. V. S. Remizovich, D. B. Rogozkin, and M. I. Ryazanov, Izv. Vyssh. Uchebn. Zaved., Radiofiz. 25(8), 891 (1982).

    ADS  Google Scholar 

  22. V. S. Remizovich, D. B. Rogozkin, and M. I. Ryazanov, Izv. AN SSSR, FAO 19(10), 1053 (1983).

    Google Scholar 

  23. K. N. Artem’ev and G. B. Sochilin, Opt. Spektrosk. 60(4), 1226 (1986).

    Google Scholar 

  24. L. O. Reynolds and N. J. McCormick, J. Opt. Soc. Am. 70(10), 1206 (1980).

    Article  ADS  Google Scholar 

  25. C. J. R. Sheppard, Opt. Lett. 32(2), 142 (2007).

    Article  MathSciNet  ADS  Google Scholar 

  26. S. V. Maleev and B. P. Toperverg, Zh. Eksp. Teor. Fiz. 78(1), 315 (1980).

    Google Scholar 

  27. D. B. Rogozkin, Izv. AN SSSR, FAO 23(4), 366 (1987).

    Google Scholar 

  28. E. E. Gorodnichev and D. B. Rogozkin, Zh. Eksp. Teor. Fiz. 107(1), 209 (1995).

    Google Scholar 

  29. L. S. Dolin, O. V. Kopelevich, I. M. Levin, and V. I. Feigel’s, Izv. AN SSSR, FAO 24(11), 1218 (1988).

    Google Scholar 

  30. L. S. Dolin, Izv. AN SSSR, FAO 16(1), 55 (1980).

    MathSciNet  Google Scholar 

  31. Handbook of Mathematical Functions, Ed. by M. Abramowitz and I. A. Stegun, 2nd ed. (Dover, New York, 1971; Nauka, Moscow, 1979).

    Google Scholar 

  32. E. E. Gorodnichev, A. I. Kuzovlev, and D. B. Rogozkin, Zh. Eksp. Teor. Fiz. 115(3), 769 (1999).

    Google Scholar 

  33. N. P. Kalashnikov, V. S. Remizovich, and M. I. Ryazanov, Collisions of Fast Charged Particles in Solids (Atomizdat, Moscow, 1980) [in Russian].

    Google Scholar 

  34. S. V. Maleyev, Phys. Rev. B 52(18), 13163 (1995).

    Article  ADS  Google Scholar 

  35. H. R. Gordon, Appl. Opt. 12(12), 2803 (1973).

    Article  ADS  Google Scholar 

  36. B. M. Golubitskii, I. M. Levin, and M. V. Tantashev, Izv. AN SSSR, FAO 10(7), 798 (1974).

    Google Scholar 

  37. H. C. Van de Hulst, Multiple Light Scattering: Tables, Formulas, and Applications (Academic, New York, 1980).

    Google Scholar 

  38. K. Stamnes and R. A. Swanson, J. Atmos. Sci. 38(2), 387 (1981).

    Article  MathSciNet  ADS  Google Scholar 

  39. K. Stamnes, S. C. Tsay, W. Wiscombe, and K. Jayaweera, Appl. Opt. 27, 2502 (1988).

    Article  ADS  Google Scholar 

  40. http://climate1.gsfc.nasa.gov/wiscombe/Multiple-Scatt/DISORTReport1.1.pdf.

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Authors and Affiliations

  1. Moscow Engineering Physics Institute (MEPhI), National Nuclear Research University, Moscow, 115409, Russia

    V. V. Marinyuk & D. B. Rogozkin

  2. Shirshov Institute of Oceanology, Russian Academy of Sciences, Moscow, 117997, Russia

    S. V. Sheberstov

Authors
  1. V. V. Marinyuk
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  2. D. B. Rogozkin
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  3. S. V. Sheberstov
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Corresponding author

Correspondence to V. V. Marinyuk.

Additional information

Original Russian Text © V.V. Marinyuk, D.B. Rogozkin, S.V. Sheberstov, 2014, published in Optika i Spektroskopiya, 2014, Vol. 117, No. 1, pp. 106–114.

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Marinyuk, V.V., Rogozkin, D.B. & Sheberstov, S.V. Propagation of a light beam in an absorbing medium with large-scale inhomogeneities. Opt. Spectrosc. 117, 102–110 (2014). https://doi.org/10.1134/S0030400X14070157

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  • DOI: https://doi.org/10.1134/S0030400X14070157

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