OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 9, Iss. 6 — Jun. 1, 1992
  • pp: 978–982

Enhanced backscattering of polarized light from discrete random media: calculations in exactly the backscattering direction

M. I. Mishchenko  »View Author Affiliations


JOSA A, Vol. 9, Issue 6, pp. 978-982 (1992)
http://dx.doi.org/10.1364/JOSAA.9.000978


View Full Text Article

Enhanced HTML    Acrobat PDF (580 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

Enhanced backscattering of polarized light by disordered media composed of independently scattering particles of arbitrary size and shape is studied theoretically. Rigorous relations between the cyclical and the ladder parts of the backscattering matrix in exactly the backscattering direction are derived for three commonly used representations of polarization, and the corresponding polarization backscattering enhancement factors are introduced. The ladder part of the Stokes-backscattering matrix is calculated by solving Chandrasekhar’s vector radiative transfer equation [ Radiative Transfer ( Clarendon, London, 1950)]. The general properties of the enhancement factors are studied, and the results of numerical computations are reported for finite and semi-infinite homogeneous slabs composed of spherical and randomly oriented nonspherical particles. It is shown that the enhancement factors depend strongly on the direction of light incidence, the optical thickness of the medium, the true absorption, and the particle size and shape.

© 1992 Optical Society of America

History
Original Manuscript: July 23, 1991
Manuscript Accepted: December 2, 1991
Published: June 1, 1992

Citation
M. I. Mishchenko, "Enhanced backscattering of polarized light from discrete random media: calculations in exactly the backscattering direction," J. Opt. Soc. Am. A 9, 978-982 (1992)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-9-6-978


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. P. Sheng, ed., Scattering and Localization of Classical Waves in Random Media (World Scientific, Singapore, 1990).
  2. M. Nieto-Vesperinas, J. C. Dainty, eds., Scattering in Volumes and Surfaces (North-Holland, Amsterdam, 1990).
  3. A. Ishimaru, L. Tsang, “Backscattering enhancement of random discrete scatters of moderate sizes,” J. Opt. Soc. Am. A 5, 228–236 (1988). [CrossRef]
  4. M. B. van der Mark, M. P. van Albada, A. Lagendijk, “Light scattering in strongly scattering media: multiple scattering and weak localization,” Phys. Rev. B 37, 3575–3592 (1988). [CrossRef]
  5. Y. N. Barabanenkov, V. D. Ozrin, “Diffusion approximation for coherent amplification of backscattered radiation in a randomly inhomogeneous medium,” Zh. Eksp. Teor. Fiz. 94(6), 56–64 (1938).
  6. E. Akkermans, P. E. Wolf, R. Maynard, G. Maret, “Theoretical study of the coherent backscattering of light by disordered media,”J. Phys. (Paris) 49, 77–98 (1988). [CrossRef]
  7. E. E. Gorodnichev, S. L. Dudarev, D. B. Rogozkin, “Coherent wave backscattering by random medium. Exact solution of the albedo problem,” Phys. Lett. A 144, 48–54 (1990). [CrossRef]
  8. Y. Kuga, L. Tsang, A. Ishimaru, “Depolarization effects of the enhanced retroreflectance from a dense distribution of spherical particles,” J. Opt. Soc. Am. A 2, 616–618 (1985). [CrossRef]
  9. M. J. Stephen, G. Cwilich, “Rayleigh scattering and weak localization: effects of polarization,” Phys. Rev. B 34, 7564–7572 (1986). [CrossRef]
  10. F. C. MacKintosh, S. John, “Coherent backscattering of light in the presence of time-reversal-noninvariant and parity-nonconserving media,” Phys. Rev. B 37, 1884–1897 (1988). [CrossRef]
  11. M. P. van Albada, A. Lagendijk, “Vector character of light in weak localization: spatial anisotropy in coherent backscattering from a random medium,” Phys. Rev. B 36, 2353–2356 (1987). [CrossRef]
  12. C. E. Mandt, L. Tsang, A. Ishimaru, “Copolarized and depolarized backscattering enhancement of random discrete scatterers of large size based on second-order ladder and cyclical theory,” J. Opt. Soc. Am. A 7, 585–592 (1990). [CrossRef]
  13. A. Ishimaru, C. W. Yeh, “Matrix representations of the vector radiative-transfer theory for randomly distributed nonspherical particles,” J. Opt. Soc. Am. A 1, 359–364 (1984). [CrossRef]
  14. D. S. Saxon, “Tensor scattering matrix for the electromagnetic field,” Phys. Rev. 100, 1771–1775 (1955). [CrossRef]
  15. J. W. Hovenier, C. V. M. van der Mee, “Fundamental relationships relevant to the transfer of polarized light in a scattering atmosphere,” Astron. Astrophys. 128, 1–16 (1983).
  16. A. P. Prishivalko, V. A. Babenko, V. N. Kuz’min, Scattering and Absorption of Light by Inhomogeneous and Anisotropic Spherical Particles (Nauka i Tekhnika, Minsk, Byelorussia, 1984).
  17. B. Wen, L. Tsang, D. P. Winebrenner, A. Ishimaru, “Dense medium radiative transfer theory: comparison with experiment and application to microwave remote sensing and polarimetry,”IEEE Trans. Geosci. Remote Sens. 28, 46–59 (1990). [CrossRef]
  18. S. Chandrasekhar, Radiative Transfer (Clarendon, London, 1950).
  19. J. E. Hansen, L. D. Travis, “Light scattering in planetary atmospheres,” Space Sci. Rev. 16, 527–610 (1974). [CrossRef]
  20. V. V. Sobolev, Light Scattering in Planetary Atmospheres (Pergamon, Oxford, 1975).
  21. A. Ishimaru, Wave Propagation and Scattering in Random Media (Academic, New York, 1978).
  22. H. C. van de Hulst, Multiple Light Scattering (Academic, New York, 1980).
  23. J. Lenoble, ed., Radiative Transfer in Scattering and Absorbing Atmospheres: Standard Computational Procedures (Deepak, Hampton, Va., 1985).
  24. H. C. van de Hulst, Light Scattering by Small Particles (Wiley, New York, 1957).
  25. C. F. Bohren, D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983).
  26. W. A. de Rooij, “Reflection and transmission of polarized light by planetary atmospheres,” Ph.D. dissertation (Free University, Amsterdam, 1985).
  27. M. I. Mishchenko, “The fast invariant imbedding method for polarized light: computational aspects and numerical results for Rayleigh scattering,”J. Quant. Spectrosc. Radiat. Transfer 43, 163–171 (1990). [CrossRef]
  28. M. I. Mishchenko, “Light scattering by randomly oriented axially symmetric particles,” J. Opt. Soc. Am. A 8, 871–882 (1991). [CrossRef]
  29. M. I. Mishchenko, “Reflection of polarized light by plane-parallel slabs containing randomly-oriented, nonspherical particles,”J. Quant. Spectrosc. Radiat. Transfer 46, 171–181 (1991). [CrossRef]
  30. P. E. Wolf, G. Maret, E. Akkermans, R. Maynard, “Optical coherent backscattering by random media: an experimental study,”J. Phys. (Paris) 49, 63–75 (1988). [CrossRef]
  31. M. P. van Albada, M. B. van der Mark, A. Lagendijk, “Polarization effects in weak localization of light,”J. Phys. D 21, S28–S31 (1988). [CrossRef]
  32. S. Etemad, R. Thompson, M. J. Andrejco, S. John, F. C. MacKintosh, “Weak localization of photons: termination of coherent random walks by absorption and confined geometry,” Phys. Rev. Lett. 59, 1420–1423 (1987). [CrossRef] [PubMed]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited