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. 11, Iss. 12 — Dec. 1, 1994
  • pp: 3274–3283

Surface reflections and multiple scattering in one, two, and three dimensions

Isaac Freund  »View Author Affiliations


JOSA A, Vol. 11, Issue 12, pp. 3274-3283 (1994)
http://dx.doi.org/10.1364/JOSAA.11.003274


View Full Text Article

Enhanced HTML    Acrobat PDF (1250 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

Surface reflections in multiple-scattering media are treated theoretically for the coherent backscattering of light, the optical memory effect, time correlations in dynamical systems, and frequency correlations in static systems. A finite number of surface reflections and a finite separation between the surface of the scattering medium and the reflecting surface are included in the theory and are found to induce a variety of new effects. Simple, closed-form expressions are given for one, two, and three dimensions. The theory is found to be in good accord with recent experiments on the coherent backscattering of light.

© 1994 Optical Society of America

History
Original Manuscript: June 21, 1993
Revised Manuscript: January 24, 1994
Manuscript Accepted: July 8, 1994
Published: December 1, 1994

Citation
Isaac Freund, "Surface reflections and multiple scattering in one, two, and three dimensions," J. Opt. Soc. Am. A 11, 3274-3283 (1994)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-11-12-3274


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. A. Ishimaru, Wave Propagation and Scattering in Random Media (Academic, New York, 1978), Vols. 1 and 2.
  2. Y. Kuga, A. Ishimaru, “Retroreflectance from a dense distribution of spherical particles,” J. Opt. Soc. Am. A 1, 831–835 (1984). [CrossRef]
  3. M. P. van Albada, A. Lagendijk, “Observation of weak localization of light in a random medium,” Phys. Rev. Lett. 55, 2692–2695 (1985). [CrossRef] [PubMed]
  4. P. E. Wolf, G. Maret, “Weak localization and coherent backscattering of photons in disordered media,” Phys. Rev. Lett. 55, 2696–2699 (1985). [CrossRef] [PubMed]
  5. E. Akkermans, P. E. Wolf, R. Maynard, “Coherent backscattering of light by disordered media; analysis of the peak line shape,” Phys. Rev. Lett. 56, 1471–1474 (1986). [CrossRef] [PubMed]
  6. S. Etemad, R. Thompson, M. J. Andrejco, “Weak localization of photons: universal fluctuations and ensemble averaging,” Phys. Rev. Lett. 57, 575–578 (1986). [CrossRef] [PubMed]
  7. M. Kaveh, M. Rosenbluh, I. Edrei, I. Freund, “Weak localization and light scattering from disordered solids,” Phys. Rev. Lett. 57, 2049–2052 (1986). [CrossRef] [PubMed]
  8. M. J. Stephen, G. Cwillich, “Rayleigh scattering and weak localization: effects of polarization,” Phys. Rev. B 34, 7564–7572 (1986). [CrossRef]
  9. E. Akkermans, “Propagation d’ondes dans les milieux desordennés,” Ph.D. dissertation (University of Grenoble, Grenoble, France, 1986).
  10. F. C. MacKintosh, S. John, “Coherent backscattering of light in the presence of time-reversal-noninvariant and non-parity conserving media,” Phys. Rev. B 37, 884–897 (1988). [CrossRef]
  11. 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]
  12. S. Feng, C. Kane, P. A. Lee, A. D. Stone, “Correlations and fluctuations of coherent wave transmission through disordered media,” Phys. Rev. Lett. 61, 834–837 (1988). [CrossRef] [PubMed]
  13. I. Freund, M. Rosenbluh, S. Feng, “Memory effects in propagation of optical waves through disordered media,” Phys. Rev. Lett. 61, 2328–2331 (1988). [CrossRef] [PubMed]
  14. I. Freund, M. Rosenbluh, R. Berkovits, “Geometric scaling of the optical memory effect in coherent-wave propagation through random media,” Phys. Rev. B 39, 12,403–12,406 (1989). [CrossRef]
  15. G. Maret, P. E. Wolf, “Multiple light scattering from disordered media: the effect of brownian motion of scatterers,” Z. Phys. B 65, 409–413 (1987). [CrossRef]
  16. M. Kaveh, M. Rosenbluh, I. Freund, “Speckle patterns permit direct observation of phase breaking,” Nature (London) 326, 778–780 (1987). [CrossRef]
  17. M. Rosenbluh, M. Hoshen, I. Freund, M. Kaveh, “Time evolution of universal optical fluctuations,” Phys. Rev. Lett. 58, 2754–2757 (1987). [CrossRef] [PubMed]
  18. M. J. Stephen, “Temporal fluctuations in wave propagation in random media,” Phys. Rev. B 37, 1–5 (1988). [CrossRef]
  19. D. J. Pine, D. A. Weitz, P. M. Chaiken, E. Herbolzheimer, “Diffusing wave spectroscopy,” Phys. Rev. Lett. 60, 1134–1137 (1988). [CrossRef] [PubMed]
  20. D. N. Qu, J. C. Dainty, “Polarization dependence of dynamic light scattering by dense disordered media,” Opt. Lett. 13, 1066–1068 (1988). [CrossRef] [PubMed]
  21. F. C. MacKintosh, J. X. Zhu, D. J. Pine, D. A. Weitz, “Polarization memory of multiply scattered light,” Phys. Rev. B 40, 9342–9345 (1989). [CrossRef]
  22. I. Freund, M. Kaveh, “Comment on ‘Polarization memory of multiply scattered light,’” Phys. Rev. B 45, 8162–8164 (1992). [CrossRef]
  23. B. Shapiro, “Large intensity fluctuations for wave propagation in random media,” Phys. Rev. Lett. 57, 2168–2171 (1986). [CrossRef] [PubMed]
  24. M. J. Stephen, G. Cwillich, “Intensity correlation functions and fluctuations in light scattered from a random medium,” Phys. Rev. Lett. 59, 285–288 (1987). [CrossRef] [PubMed]
  25. A. Z. Genack, “Optical transmission in disordered media,” Phys. Rev. Lett. 58, 2043–2046 (1987). [CrossRef] [PubMed]
  26. I. Edrei, M. Kaveh, “Wavelength dependence of static intensity correlation functions,” Phys. Rev. B 38, 950–953 (1988). [CrossRef]
  27. A. Z. Genack, J. M. Drake, “Relationship between optical intensity, fluctuations, and pulse propagation in random media,” Europhys. Lett. 11, 331–336 (1990). [CrossRef]
  28. A. Lagendijk, R. Vreeker, P. De Vries, “Influence of internal reflection on diffusive transport in strongly scattering media,” Phys. Lett. A 136, 81–88 (1989). [CrossRef]
  29. I. Freund, R. Berkovits, “Surface reflections and optical transport through random media: coherent backscattering, optical memory effect, frequency, and dynamical correlations,” Phys. Rev. B 41, 496–503 (1990); in the definition of xfollowing Eq. (8) in this reference, xshould be multiplied by 2 [Erratum, Phys. Rev. B 41, 9540 (1990).] [CrossRef]
  30. J. X. Zhu, D. J. Pine, D. A. Weitz, “Internal reflection of diffuse light in random media,” Phys. Rev. A 44, 3948–3959 (1991). [CrossRef] [PubMed]
  31. D. Ben-Avraham, H. Taitelbaum, G. H. Weiss, “Boundary conditions for a model of photon migration in turbid media,” Lasers Life Sci. 4, 1–8 (1991).
  32. I. Freund, “Surface reflections and boundary conditions for diffusive photon transport,” Phys. Rev. A 45, 8854–8858 (1992). [CrossRef] [PubMed]
  33. Th. M. Nieuwenhuizen, J. M. Luck, “The skin layer in diffusive media,” Phys. Rev. E 48, 569–588 (1993). [CrossRef]
  34. M. Ospeck, S. Fraden, “Boundary conditions and the weak localization of light,” Phys. Rev. E 49, 4578–4589 (1994). [CrossRef]
  35. I. Freund, M. Rosenbluh, R. Berkovits, M. Kaveh, “Coherent backscattering of light in a quasi-two-dimensional system,” Phys. Rev. Lett. 61, 1214–1217 (1988). [CrossRef] [PubMed]
  36. I. Freund, “Polarization correlations in two-dimensional random media,” Waves Random Media 1, 245–263 (1991). [CrossRef]
  37. P. M. Morse, H. Feschbach, Methods of Theoretical Physics (McGraw-Hill, New York, 1953), Chap. 2.
  38. P. M. Saulnier, G. H. Watson, “Role of surface reflectivity in coherent backscattering measurements,” Opt. Lett. 17, 946–948 (1992). [CrossRef] [PubMed]
  39. M. Born, E. Wolf, Principles of Optics (Macmillan, New York, 1959).
  40. R. Berkowits, M. Kaveh, “Weak localization of photons in a disordered two-dimensional medium,” J. Phys. C 20, L181–L185 (1987). [CrossRef]
  41. G. Cwillich, M. J. Stephen, “Rayleigh scattering and weak localization: geometric effects and fluctuations,” Phys. Rev. B 35, 6517–6520 (1987). [CrossRef]
  42. M. Abramowits, I. A. Stegun, Handbook of Mathematical Functions (U.S. Government Printing Office, Washington, D.C., 1964).

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.

Figures

Fig. 1 Fig. 2 Fig. 3
 
Fig. 4
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited