Advertisement

Intensity Correlations and Fluctuations of Waves Transmitted through Random Media

  • J. J. Sáenz
  • L. S. Froufe-Pérez
  • A. GarcíA-Martín
Conference paper
Part of the NATO Science Series book series (NAII, volume 107)

Abstract

The correlations between waves transmitted through random media are analyzed by use of a random matrix approach. Although the intensity and conductance fluctuations are practically independent of the sample length, the correlations present an unexpected strong dependence on the length of the disordered region. Interestingly, we show that the long range correlations C (2) and C (3) usually associated with intensity and conductance fluctuations, respectively, become negative as the length of the system decreases. Flux conservation is shown to be the main source of negative correlations in the quasi-ballistic regime.

Keywords

Speckle Pattern Diffusive Regime Speckle Contrast Flux Conservation Conductance Fluctuation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    J.C. Dainty (Ed.), Laser Speckle Patterns and Related Phenomena (Springer-Verlag, Berlin, 1984).Google Scholar
  2. 2.
    P. Sebbah (Ed.), Waves and Imaging through Complex Media (Kluwer, Dordretch, 2001).Google Scholar
  3. 3.
    Y. Kuga and J. Ishimaru, J. Opt. Soc. Am. A 1, 831 (1984); M.P. van Albada and A. Lagendijk, Phys. Rev. Lett. 55, 2692 (1985); P.E. Wolf and G. Maret, Phys. Rev. Lett. 55, 1696 (1985). E. Akkermans, P.E. Wolf and R. Maynard, Phys. Rev. Lett. 56, 1471 (1986); M. Kaveh, M. Rosenbulth, M. Edrei and I. Freud, Phys. Rev. Lett. 57, 2949 (1986)CrossRefGoogle Scholar
  4. 4.
    S. Feng, C. Kane, P.A. Lee and A.D. Stone, Phys. Rev. Lett. 61, 834 (1988); J. Freund, M. Rosenbluh and S. Feng, Phys. Rev. Lett. 61, 2328 (1988)CrossRefGoogle Scholar
  5. 5.
    P.A. Mello, E. Akkermans and B. Shapiro, Phys. Rev. Lett. 61, 459 (1988); P.A. Mello, J. Phys. A 23, 4061 (1990); P.A. Mello and A.D. Stone, Phys. Rev. B 44, 3559 (1991).CrossRefGoogle Scholar
  6. 6.
    R. Pnini and B. Shapiro, Phys. Rev. B 39, 6986 (1989); R. Pnini, pp. 391–412 in Ref. [2].CrossRefGoogle Scholar
  7. 7.
    N. García and A.Z. Genack, Phys. Rev. Lett. 63, 1678 (1989); A.Z. Genack, N. Garcia, J.H. Li and W. Polkosnik, Phys. Rev. Lett. 65, 2129 (1990); P. Sebbah, R. Pnini and A.Z. Genack, Phys. Rev. E 62, 7348 (2000).CrossRefGoogle Scholar
  8. 8.
    M.P. van Albada, J.F. de Boer and A. Lagendijk, Phys. Rev. Lett. 64, 2787 (1990); J.F. de Boer, M.P. van Albada and A. Lagendijk, Phys. Rev. B 45, 658 (1992).CrossRefGoogle Scholar
  9. 9.
    M.C.W. van Rossum and T.M. Nieuwenhuizen, Rev. Mod. Phys. 71, 313 (1999); R. Berkovits and S. Feng, Phys. Rep. 238, 135 (1994).CrossRefGoogle Scholar
  10. 10.
    F. Scheffold, W. Härtl, G. Maret and E. Matijević, Phys. Rev. B 56, 10942 (1997).CrossRefGoogle Scholar
  11. 11.
    E. Bascones, M.J. Calderón, D. Castelo, T. López and J.J. Sáenz, Phys. Rev. B 55, R11911 (1997).CrossRefGoogle Scholar
  12. 12.
    D.B. Rogozkin, JETP Lett. 69, 117 (1999).CrossRefGoogle Scholar
  13. 13.
    B. Shapiro, Phys. Rev. Lett. 83, 4733 (1999); S.E. Skipetrov and R. Maynard, Phys. Rev. B 62, 886 (2000).CrossRefGoogle Scholar
  14. 14.
    C.P. Umbach, S. Washburn, R.B. Laibowitz and R.A. Webb, Phys. Rev. B 30, 4048 (1984); R.A. Webb, S. Washburn, C.P. Umbach and R.B. Laibowitz, Phys. Rev. Lett. 54, 2696 (1995).CrossRefGoogle Scholar
  15. 15.
    P.A. Lee and A.D. Stone, Phys. Rev. Lett. 55, 1622 (1985); B.L. Alt’shuler, JETP Lett. 41, 648 (1985); P.A. Lee, A.D. Stone and H. Fukuyama, Phys. Rev. B 35, 1039 (1987).CrossRefGoogle Scholar
  16. 16.
    K.A. Muttalib, J.-L. Pichard and A.D. Stone, Phys. Rev. Lett. 59, 2475 (1987).CrossRefGoogle Scholar
  17. 17.
    P.A. Mello, Phys. Rev. Lett. 60, 1089 (1988).CrossRefGoogle Scholar
  18. 18.
    S. Feng and P.A. Lee, Science 251, 633 (1991).CrossRefGoogle Scholar
  19. 19.
    A.R. McGurn, A.A. Maradudin and V. Celli, Phys. Rev. B 31, 4866 (1985); V. Celli, A.A. Maradudin, A.M. Marvin and A.R. McGurn, J. Opt. Soc. Am. A 2, 2225 (1985); E.R. Mendez and K.A. O7#x2019;Donnell, Opt. Commun. 61, 91 (1987); K.A. O’Donnell and E.R. Mendez, J. Opt. Soc. Am. A 4, 1194 (1987); C.S. West and K.A. O’Donnel, J. Opt. Soc. Am. A 12, 390 (1995); M. Meto-Vesperinas and J.M. Soto-Crespo, Opt. Lett. 12, 979 (1987); J.M. Soto-Crespo and M. Nieto-Vesperinas, J. Opt. Soc. Am. A 6, 3 (1989).CrossRefGoogle Scholar
  20. 20.
    D. Léger, E. Mathieu and J.C. Perrin, Appl. Opt. 14, 872 (1975); D. Léger and J. Perrin, J. Opt. Soc. Am. 66, 1210 (1976); M. Meto-Vesperinas and J.A. Sanchez-Gil, Phys. Rev. B 46, 3112 (1992); J. Opt. Soc. Am. A 10, 150 (1993); A. Arsenieva and S. Feng, Phys. Rev. B 47, 13047 (1993).CrossRefGoogle Scholar
  21. 21.
    D.S. Wiersma et al., Nature 390, 671 (1997); ibid. 398, 207 (1999); F. Scheffold and G. Maret, ibid. 398, 206 (1999); A. A. Chabanov, M. Stoytchev, and A. Z. Genack, ibid. 404, 850 (2000); J. Gomez-Rivas et al., Phys. Rev. E 63, 046613 (2001).CrossRefGoogle Scholar
  22. 22.
    F. Scheffold and G. Maret, Phys. Rev. Lett. 81, 5800 (1998).CrossRefGoogle Scholar
  23. 23.
    F. Scheffold and G. Maret, p. 413–434 in Ref. [2].Google Scholar
  24. 24.
    P. Sebbah, B. Hu, A. Z. Genack, R. Pnini and B. Shapiro, Phys. Rev. Lett. 88, 123901 (2002).CrossRefGoogle Scholar
  25. 25.
    C.W.J. Beennakker, Rev. Mod. Phys. 69, 731 (1997).CrossRefGoogle Scholar
  26. 26.
    Y. Imry, Europhys. Lett. 1, 249 (1986).CrossRefGoogle Scholar
  27. 27.
    O.N. Dorokhov, Solid State Commun. 51, 381 (1984).CrossRefGoogle Scholar
  28. 28.
    P.A. Mello, P. Pereyra and N. Kumar, Ann. Phys. (N.Y.) 181, 290 (1988).CrossRefGoogle Scholar
  29. 29.
    A. García Martín, F. Scheffold, M. Nieto-Vesperinas and J.J. Sáenz, Phys. Rev. Lett. 88, 143901 (2002).CrossRefGoogle Scholar
  30. 30.
    A. García-Martín et al., Appl. Phys. Lett. 71, 1912 (1997); Phys. Rev. Lett. 80, 4165 (1998); ibid. 81, 329 (1998); ibid. 84, 3578 (2000).CrossRefGoogle Scholar
  31. 31.
    R. Carminati, J.J. Sáenz, J.-J. Greffet and M. Nieto-Vesperinas, Phys. Rev. A 62, 012712 (2000).CrossRefGoogle Scholar
  32. 32.
    L.S. Froufe-Pérez, A. García-Martín and J.J. Sáenz, unpublished (2002).Google Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2003

Authors and Affiliations

  • J. J. Sáenz
    • 1
  • L. S. Froufe-Pérez
    • 2
  • A. GarcíA-Martín
    • 3
  1. 1.Laboratoire d’Energétique Moléculaire et Macroscopique, CombustionEcole Centrale Paris, Centre National de la Recherche ScientifiqueChâtenay-Malabry CedexFrance
  2. 2.Departamento de Física de la Materia CondensadaUniversidad Autónoma de MadridMadridSpain
  3. 3.Institut für Theorie der Kondensierten MaterieUniversität KarlsruheKarlsruheGermany

Personalised recommendations