Skip to main content
Log in

Weak Localization in Media with Refractive-Index Gradient: the Diffusion Approximation

  • Published:
Radiophysics and Quantum Electronics Aims and scope

We consider the effect of weak localization of waves in the scattering medium with regular refractive-index gradient. The solution within the diffusion approximation of the radiative transfer theory is obtained. Reasonable qualitative agreement of the approximate solution with the results of numerical simulation is shown.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Yu.N.Barabenkov, Radiophys. Quantum Electron., 16, 1, 65 (1973).

    Article  ADS  Google Scholar 

  2. B. Hapke, Icarus, 88, 407 (1990).

    Article  ADS  Google Scholar 

  3. A. Battaglia, S. Tanelli, S. Kobayashi, et al., J. Quant. Spectrosc., Rad. Transfer, 111, No. 6, 917 (2010).

    Article  ADS  Google Scholar 

  4. A. Afanasiev, J. Atmos. Solar-Terr. Phys., 67, 1002 (2005).

    Article  ADS  Google Scholar 

  5. Y. A. Ilyushin, Planet. Space Sci., 57, 1458 (2009).

    Article  ADS  Google Scholar 

  6. Y. A. Ilyushin, Planet. Space Sci., 52, 1195 (2004).

    Article  ADS  Google Scholar 

  7. Y. A. Ilyushin, J. Quant. Spectrosc. Rad. Transfer, 117, 133 (2013).

    Article  ADS  Google Scholar 

  8. Y. A. Ilyushin, J. Opt. Soc. Am. A, 30, 1305 (2013).

    Article  ADS  Google Scholar 

  9. V. V. Marinyuk and D.B.Rogozkin, Laser Phys., 19, 176 (2009).

    Article  ADS  Google Scholar 

  10. E. Akkermans, P.E.Wolf, and R.Maynard, Phys. Rev. Lett ., 56, 1471 (1986).

    Article  ADS  Google Scholar 

  11. A. Ishimaru, Wave Propagation and Scattering in Random Media, Vol. 2, Academic Press, New York (1978).

    Google Scholar 

  12. M. L. Shendeleva, J. Opt. Soc. Am. A, 21, 2464 (2004).

    Article  ADS  MathSciNet  Google Scholar 

  13. R.C. Haskell, L.O. Svaasand, T.-T.Tsay, et al., J. Opt. Soc. Am. A, 11, 2727 (1994).

    Article  ADS  Google Scholar 

  14. L.Elsgolts, Differential Equations and the Calculus of Variations Mir Publishers, Moscow (1970).

    Google Scholar 

  15. L. G. Henyey and J. L.Greenstein, Astrophys. J ., 93, 70 (1941).

    Article  ADS  Google Scholar 

  16. S. M. Ermakov and G. A. Mikhailov, Statistical Simulation [in Russian], Fizmatlit, Moscow (1982).

    Google Scholar 

  17. Vl. V. Voevodin, S.A. Zhymatiy, S. I. Sobolev, et al., Lomonosov Supercomputer Practice [in Russian], Otkrytye Sistemy, Moscow (2012).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ya. A. Ilyushin.

Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 57, No. 10, pp. 817–824, October 2014.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ilyushin, Y.A. Weak Localization in Media with Refractive-Index Gradient: the Diffusion Approximation. Radiophys Quantum El 57, 730–736 (2015). https://doi.org/10.1007/s11141-015-9559-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11141-015-9559-4

Keywords

Navigation