Localization of Light In 2D Random Media

  • A. Orłowski
  • M. Rusek
  • J. Mostowski
Part of the NATO ASI Series book series (NSSE, volume 324)


The localization of the electron wave functions is a well-known concept in contemporary condensed matter physics. It originates from investigations of the electron transport in disordered solids, usually semiconductors [1]. In such media the propagation of electrons is altered by the presence of a random potential. As this phenomenon is completely based on the interference effects in multiple elastic scattering and since interference is a common property of all wave phenomena, many generalizations of the Anderson localization to other matter-waves (neutrons) as well as classical waves (electromagnetic and acoustic waves) have been proposed [2, 3, 4, 5, 6]. In this paper we focus our attention on electromagnetic waves. There is a variety of experimental investigations in this case, both in the optical and microwave domains. Weak localization, manifesting itself as enhanced coherent backscattering, is now experimentally established beyond any doubts [7, 8, 9, 10]. Weak localization is relatively well understood theoretically [11,12,13] and, as the coherent backscattering affects the diffusion constant describing the propagation of electromagnetic waves in strongly scattering random media, it is the precursor of strong localization.


Random Medium Free Field Weak Localization Anderson Localization Classical Wave 
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  1. 1.
    P. W. Anderson, Absence of diffusion in certain random lattices, Phys. Rev. 109, 1492–1505 (1958).ADSCrossRefGoogle Scholar
  2. 2.
    S. John, Electromagnetic absorption in a disordered medium near a photon mobility edge, Phys. Rev. Lett. 53, 2169–2172 (1984).ADSCrossRefGoogle Scholar
  3. 3.
    P. W. Anderson, The question of classical localization. A theory of white paint?, Philosophical Magazine B 52, 505–509 (1985)CrossRefGoogle Scholar
  4. 4.
    Scattering and Localization of Classical Waves in Random Media, edited by Ping Sheng (World Scientific, Singapore, 1990).Google Scholar
  5. 5.
    Analogies in Optics and Micro Electronics, edited by W. van Haeringen and D. Lenstra (Kluwer, Dordrecht, 1990)Google Scholar
  6. 6.
    Photonic Band Gaps and Localization, edited by C. M. Soukoulis, Proceedings of the NATO AS I Series (Plenum, New York, 1993)Google Scholar
  7. 7.
    I. Freund, M. Rosenbluh, R. Berkovits, and M. Kaveh, Coherent backscatter- ing of light in a quasi-two-dimensional system, Phys. Rev. Lett. 61, 1214–1217 (1988)ADSCrossRefGoogle Scholar
  8. 8.
    M. P. van Albada, A. Lagendijk, and M. B. van der Mark, Towards observation of Anderson localization of light, in Analogies in Optics and Micro Electronics, edited by W. van Haeringen and D. Lenstra ( Kluwer, Dordrecht, 1990 ) pp. 85–103.Google Scholar
  9. 9.
    M. P. Van Albada and A. Lagendijk, Observation of weak localization of light in a random medium, Phys. Rev. Lett.55, 2692–2695 (1985).ADSCrossRefGoogle Scholar
  10. 10.
    P. -E. Wolf and G. Maret, Weak localization and coherent backscattering of photons in disordered media, Phys. Rev. Lett.55, 2696-2699 (1985).ADSCrossRefGoogle Scholar
  11. 11.
    E. Akkermans, P. E. Wolf, and R. Maynard, Coherent backscattering of light by disordered media: Analysis of the peak line shape, Phys. Rev. Lett. 56, 1471–1474 (1986).ADSCrossRefGoogle Scholar
  12. 12.
    M. J. Stephen and G. Cwilich, Rayleigh scattering and weak localization: Effects of polarization, Phys. Rev. B 34, 7564–7572 (1986)ADSCrossRefGoogle Scholar
  13. 13.
    F. C. MacKintosh and S. John, Coherent backscattering of light in the presence of time-reversal-noninvariant and prity-nonconserving media, Phys. Rev. B 37, 1884–1897 (1988).ADSCrossRefGoogle Scholar
  14. 14.
    G. H. Watson Jr., P. A. Fleury, and S. L. McCall, Search for photon localization in the time domain, Phys. Rev. Lett. 58, 945–948 (1987).ADSCrossRefGoogle Scholar
  15. 15.
    A. Z. Genack, Optical transmition in disordered media, Phys. Rev. Lett. 58, 2043–2046 (1987).ADSCrossRefGoogle Scholar
  16. 16.
    J. M. Drake and A. Z. Genack, Observation of photon localization in a three- dimensional disordered system, Phys. Rev. Lett.66, 2064–2067 (1991).ADSCrossRefGoogle Scholar
  17. 17.
    A. Z. Genack and N. Garcia, Observation of photon localization in a three- dimensional disordered system, Phys. Rev. Lett.66, 2064–2067 (1991).ADSCrossRefGoogle Scholar
  18. 18.
    R. Dalichaouch, J. P. Armstrong, S. Schultz, P. M. Platzman, and S. L. McCall, Microwave lokalization by two-dimensional random scattering, Nature 354, 53–55 (1991)ADSCrossRefGoogle Scholar
  19. 19.
    S. John, Localization of light, Physics Today 44, 32–40(May 1991)ADSCrossRefGoogle Scholar
  20. 20.
    B. A. van Tiggelen and E. Kogan, Analogies between light and electrons: Density of states and FriedePs identity, Phys. Rev. A 49,708–713 (1994)ADSCrossRefGoogle Scholar
  21. 21.
    M. Born and E. Wolf, Principles of Optics( Pergamon Press, Oxford, 1965 )Google Scholar
  22. 22.
    C. F. Bohren and D. R. Huffman, Absorption and Scattering Light by Small Particles(Wiley, New York, 1983 )Google Scholar

Copyright information

© Kluwer Academic Publishers 1996

Authors and Affiliations

  • A. Orłowski
    • 1
  • M. Rusek
    • 1
  • J. Mostowski
    • 1
  1. 1.Instytut FizykiPolska Akademia NaukWarszawaPoland

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