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Comparison of Two Statistical Approaches to a Solution of the Stochastic Radiative Transfer Equation

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Russian Physics Journal Aims and scope

The method of direct simulation of photon trajectories in a stochastic medium is compared with the method of closed equations suggested by G. A. Titov. A comparison is performed for the model of the stochastic medium in the form of a cloudy field of constant thickness comprising rectangular clouds whose boundaries are determined by a stationary Poisson flow of points. It is demonstrated that the difference between the calculated results can reach 20–30%; however, in some cases (for some sets of initial data) the difference is limited by 5% irrespective of the cloud cover index.

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References

  1. S. M. Prigarin, T. B. Zhuravleva, and P. V. Volikova, Opt. Atm. Okeana, 15, No. 10, 917–924 (2002).

    Google Scholar 

  2. B. A. Kargin and S. M. Prigarin, Opt. Atm. Okeana, 7, No. 9, 1275–1287 (1994).

    Google Scholar 

  3. S. M. Prigarin, B. A. Kargin, and U. G. Oppel, Pure Appl. Opt., 7, 1389–1402 (1998).

    Article  ADS  Google Scholar 

  4. V. E. Zuev and G. A. Titov, Optics of the Atmosphere and Climate [in Russian], Spektr Publishing House, Tomsk (1996).

  5. G. A. Titov, T. B. Zhuravleva, and V. E. Zuev, J. Geophys. Res., 102, No. D2, 1819–1832 (1997).

    Article  ADS  Google Scholar 

  6. T. B. Zhuravleva and K. M. Firsov, Opt. Atm. Okeana, 17, No. 11, 903–911 (2004).

    Google Scholar 

  7. T. B. Zhuravleva, Opt. Atm. Okeana, 21, No. 3, 189–202 (2008).

    Google Scholar 

  8. F. X. Kneizys, E. P. Shettle, G. P. Anderson, et al., User Guide to LOWTRAN-7, Hansom AFB, MA 01731 (1988).

  9. G. I. Marchuk, G. A. Mikhailov, M. A. Nazaraliev, et al., Monte Carlo Method in Atmospheric Optics [in Russian], Nauka, Novosibirsk (1976).

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Authors and Affiliations

  1. V. E. Zuev Institute of Atmospheric Optics of the Siberian Branch of the Russian Academy of Sciences, Tomsk, Russia

    I. V. Kirnos, M. V. Tarasenkov & V. V. Belov

  2. National Research Tomsk State University, Tomsk, Russia

    I. V. Kirnos, M. V. Tarasenkov & V. V. Belov

Authors
  1. I. V. Kirnos
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  2. M. V. Tarasenkov
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  3. V. V. Belov
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Correspondence to I. V. Kirnos.

Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 12, pp. 89–92, December, 2015.

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Kirnos, I.V., Tarasenkov, M.V. & Belov, V.V. Comparison of Two Statistical Approaches to a Solution of the Stochastic Radiative Transfer Equation. Russ Phys J 58, 1767–1770 (2016). https://doi.org/10.1007/s11182-016-0714-y

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  • DOI: https://doi.org/10.1007/s11182-016-0714-y

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