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Light Transport in Complex Photonic Systems

From Random Lasers to Photonic Crystals

  • Conference paper
Wave Scattering in Complex Media: From Theory to Applications

Part of the book series: NATO Science Series ((NAII,volume 107))

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Abstract

The transport of light in complex dielectric materials is a rich and fascinating topic of research. With complex dielectrics we intend dielectric structures with an index of refraction that has variations on a length scales that is very roughly comparable to the wavelength. Such structures strongly scatter light. A possible building block for constructing a complex dielectric is a micro sphere of diameter comparable to the wavelength and of a certain refractive index that is different from its surrounding medium. The single scattering from such a sphere has a rich structure due to internal resonances in the sphere, but its behaviour is well-understood and can be calculated using the formalism of Mie-scattering [1]. A complex dielectric material can then be realized by micro-assembly of several micro spheres.

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References

  1. See e.g. H.C. van de Hulst, Light Scattering by Small Particles (Dover, New York, 1981).

    Google Scholar 

  2. See for instance: P. Sheng, Introduction to Wave Scattering, Localization, and Meso-scopic Phenomena (Academic Press, San Diego, 1995).

    Google Scholar 

  3. I. Freund, M. Rosenbluh, and Shechao Feng, Phys. Rev. Lett. 61, 2328 (1988); Shechao Feng, Ch. Kane, P.A. Lee, and A. D. Stone, Phys. Rev. Lett. 61, 834 (1988); N. Garcia and A.Z. Genack, Phys. Rev. Lett. 63, 1678 (1989); M.P. van Albada, J.F. de Boer, and A. Lagendijk, Phys. Rev. Lett. 64, 2787 (1990). P. Sebbah, B. Hu, A.Z. Genack, R. Pnini, and B. Shapiro, Phys. Rev. Lett. 88, 123901 (2002).

    Article  Google Scholar 

  4. F. Scheffold and G. Maret, Phys. Rev. Lett. 81, 5800 (1998).

    Article  Google Scholar 

  5. Y. Kuga and A. Ishimaru, J. Opt. Soc. Am. A 8, 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, 2696 (1985).

    Article  Google Scholar 

  6. S. John, Phys. Rev. Lett. 53, 2169 (1984); P.W. Anderson, Philos. Mag. B 52, 505 (1985); R. Dalichaouch, J.P. Armstrong, S. Schultz, P.M. Platzman, and S.L. McCall, Nature 354, 53 (1991); A.Z. Genack and N. Garcia, Phys. Rev. Lett. 66, 2064 (1991); D.S. Wiersma, P. Bartolini, A. Lagendijk, and R. Righini, Nature 390, 671 (1997); A.A. Chabanov and A.Z. Genack, Phys. Rev. Lett. 87, 233903 (2001).

    Article  Google Scholar 

  7. G. Maret and P.E. Wolf, Z. Phys. B 65, 409 (1987); D.J. Pine, D.A. Weitz, P.M. Chaikin, and E. Herbolzheimer, Phys. Rev. Lett. 60, 1134 (1988); S. Fraden and G. Maret, Phys. Rev. Lett. 65, 512 (1990).

    Article  Google Scholar 

  8. E. Yablonovitch, Phys. Rev. Lett. 58, 2059 (1987); S. John, Phys. Rev. Lett. 58, 2486 (1987).

    Article  Google Scholar 

  9. Photonic Bandgap Materials, edited by C.M. Soukoulis (Kluwer, Dordrecht, 1996); J.D. Joannopoulos, R.D. Meade, and J.N. Winn, Photonic Crystals (Princeton University Press, Princeton, NJ, 1995).

    Google Scholar 

  10. A. Sparenberg, G.L.J.A. Rikken, and B.A. van Tiggelen, Phys. Rev. Lett. 79, 757 (1997).

    Article  Google Scholar 

  11. B.A. van Tiggelen, Phys. Rev. Lett. 75, 422 (1995); G.L.J.A. Rikken and B.A. van Tiggelen, Nature 381, 54 (1996).

    Article  Google Scholar 

  12. D.S. Wiersma, Mol. Cryst. and Liq. Cryst. 375, 15 (2002).

    Google Scholar 

  13. A. Yodh and B. Chance, Physics Today 48(3), 34 (1995).

    Article  Google Scholar 

  14. V.S. Letokhov, Zh. Eksp. Teor. Fiz. 53, 1442 (1967) [Sov. Phys. JETP 26, 835 (1968)]; A.Y. Zyuzin, Phys. Rev. E 51, 5274 (1995); S. John and G. Pang, Phys. Rev. A 54, 3642 (1996); D.S. Wiersma and A. Lagendijk, Phys. Rev. E 54, 4256 (1996); G.A. Berger, M. Kempe, and A.Z. Genack, Phys. Rev. E 56, 6118 (1997); Xunya Jiang and C.M. Soukoulis, Phys. Rev. Lett. 85, 70 (2000). G. van Soest, F.J. Poelwijk, R. Sprik, and A. Lagendijk, Phys. Rev. Lett. 86, 1522 (2001).

    Google Scholar 

  15. N.M. Lawandy, R.M. Balachandran, A.S.L. Gomes, and E. Sauvin, Nature 368, 436 (1994); but see also the discussion on weak scattering in: D.S. Wiersma, M. van Albada, A. Lagendijk, Nature 373, 203 (1995).

    Article  Google Scholar 

  16. C. Gouedard, D. Husson, C. Sauteret, F. Auzel, and A.J. Migus, J. Opt. Soc. Am. B 10, 2358 (1993).

    Google Scholar 

  17. C.W.J. Beenakker, Phys. Rev. Lett. 81, 1829 (1998).

    Article  Google Scholar 

  18. H. Cao, Y.G. Zhao, S.T. Ho, E.W. Seelig, Q.H. Wang, and R.P.H. Chang, Phys. Rev. Lett. 82, 2278 (1999); H. Cao, Y. Ling, J.Y. Xu, C.Q. Cao, and Prem Kumar, Phys. Rev. Lett. 86, 4524 (2001); but see also Y. Sun, J.B. Ketterson, and G.K.L. Wong, Appl. Phys. Lett. 77, 2322 (2000).

    Article  Google Scholar 

  19. P.G. de Gennes and J. Prost, The Physics of Liquid Crystals, 2nd edition (Oxford, New York, 1993); S. Chandrasekhar, Liquid Crystals (Cambridge Univ. Press, Cambridge, 1977).

    Google Scholar 

  20. D.S. Wiersma, M. Colocci, R. Righini, and F. Aliev, Phys. Rev. B 64, 144208 (2001).

    Article  Google Scholar 

  21. See for instance Liquid Crystal Dispersions, P. S. Drzaic, (World Scientific, Singapore, 1995); A. Mertelj, L. Spindler, and M. Copic, Phys. Rev. E 56, 549 (1997); J.H.M. Neijzen, H.M.J. Boots, F.A.M.A. Paulissen, M.B. van der Mark, and H.J. Cornelissen, Liq. Cryst. 22, 255 (1997); L. Leclercq, U. Maschke, B. Ewen, X. Co-queret, L. Mechernene, and M. Benmouna, Liq. Cryst. 26, 415 (1999); T. Bellini, N.A. Clark, V. Degiorgio, F. Mantegazza, and G. Natale, Phys. Rev. E 57, 2996 (1998).

    Article  Google Scholar 

  22. D.S. Wiersma and S. Cavalieri, Nature 414, 708 (2001); D.S. Wiersma and S. Cav-alieri, Phys. Rev. E 66, 056612 (2002).

    Article  Google Scholar 

  23. Refractive index values at λ = 632.8 nm. See D.A. Dunmur, M.R. Manterfield, W.H. Miller, and J.K. Dunleavy, Mol. Cryst. Liq. Cryst. 45, 127 (1978).

    Google Scholar 

  24. Liquid Crystals in Complex Geometries Formed by Polymer and Porous Networks, edited by G.P. Crawford and S. Zumer (Taylor & Francis, London, 1996); T. Bellini, N.A. Clark, C.D. Muzny, L. Wu, C.W. Garland, D.W. Schaefer, and B.J. Olivier, Phys. Rev. Lett. 69, 788 (1992).

    Google Scholar 

  25. D.V. Vlasov, L.A. Zubkov, N.V. Orekhova, and V.P. Romanov, Pis’ma Zh. Eksp. Teor. Fiz. 48, 86 (1988) [JETP Lett. 48, 91 (1988)]; H.K.M. Vithana, L. Asfaw, and D.L. Johnson, Phys. Rev. Lett. 70, 3561 (1993).

    Google Scholar 

  26. D. Langevin, Solid State Comm. 14, 435 (1974); D. Langevin and M.-A. Bouchiat, J. Phys. (Paris) C 1, 197 (1975); A.Y. Val’kov and V.P. Romanov, Zh. Eksp. Teor. Viz. 82, 1777 (1982) [Sov. Phys. JETP 56, 1028 (1983)].

    Article  Google Scholar 

  27. M.H. Kao, K.A. Jester, A.G. Yodh, and P.J. Collings, Phys. Rev. Lett. 77, 2233 (1996).

    Article  Google Scholar 

  28. D.S. Wiersma, A. Muzzi, M. Colocci, and R. Righini, Phys. Rev. Lett. 83, 4321 (1999).

    Article  Google Scholar 

  29. V.P. Romanov and A.N. Shalaginov, Opt. Spectrosc. (USSR) 64, 774 (1988); B.A. van Tiggelen, R. Maynard, and A. Heiderich, Phys. Rev. Lett. 77, 639 (1996); H. Stark and T.C. Lubensky, Phys. Rev. Lett. 77, 2229 (1996); B.A. van Tiggelen and H. Stark, Rev. Mod. Phys. 72, 1017 (2000).

    Google Scholar 

  30. P.M. Johnson, B.P.J. Bret, J.G. Rivas, J.J. Kelly, and A. Lagendijk, Phys. Rev. Lett. 89, 243901 (2002).

    Article  Google Scholar 

  31. T. Fujiwara and T. Ogawa, Quasicrystals (Springer Verlag, Berlin, 1990).

    Book  Google Scholar 

  32. G. Gumbs and M.K. Ali, Phys. Rev. Lett. 60, 1081 (1988).

    Article  MathSciNet  Google Scholar 

  33. See e.g. Franco Nori and J. P. Rodriguez, Phys. Rev. B 34, 2207 (1986); R.B. Capaz, B. Koiller, and S.L.A. de Queiroz, Phys. Rev. B 42, 6402 (1990).

    Article  Google Scholar 

  34. T. Fujiwara, M. Kohmoto, and T. Tokihiro, Phys. Rev. B 40, 7413 (1989); C.M. Soukoulis and E.N. Economou, Phys. Rev. Lett. 48, 1043 (1982).

    Article  Google Scholar 

  35. M. Kohmoto, B. Sutherland, and K. Iguchi, Phys. Rev. Lett. 58, 2436 (1987); B. Sutherland and M. Kohmoto, Phys. Rev. B 36, 5877 (1987).

    Article  Google Scholar 

  36. R. Merlin, K. Bajema, R. Clarke, F.Y. Juang, and P.K. Bhattacharya, Phys. Rev. Lett. 55, 1768 (1985).

    Article  Google Scholar 

  37. J.B. Sokoloff Phys. Rev. Lett. 58, 2267 (1987); Ch.Wang and R.A. Barrio, Phys. Rev. Lett. 61, 191 (1988); E. Maciá and F. Domínguez-Adame, Phys. Rev. Lett. 76, 2957 (1996); F. Piéchon, Phys. Rev. Lett. 76, 4372 (1996); X. Huang and Ch. Gong, Phys. Rev. B 58, 739 (1998); F. Steinbach, A. Ossipov, Tsampikos Kottos, and T. Geisel, Phys. Rev. Lett. 85, 4426 (2000).

    Article  Google Scholar 

  38. W. Gellermann, M. Kohmoto, B. Sutherland, and P.C. Taylor, Phys. Rev. Lett. 72, 633 (1994).

    Article  Google Scholar 

  39. T. Hattori, N. Tsurumachi, S. Kawato, and H. Nakatsuka, Phys. Rev. B 50, 4220, (1994).

    Article  Google Scholar 

  40. L. dal Negro, C.J. Oton, Z. Gaburro, L. Pavesi, P. Johnson, A. Lagendijk, R. Righini, M. Colocci, D.S. Wiersma, Phys. Rev. Lett. 90, 055501 (2003).

    Article  Google Scholar 

  41. R.H.J. Kop and R. Sprik, Rev. Sci. Instrum. 66, 5459 (1995).

    Article  Google Scholar 

  42. A. Imhof, W.L. Vos, R. Sprik, and A. Lagendijk, Phys. Rev. Lett. 83, 2942 (1999).

    Article  Google Scholar 

  43. F.L. Pedrotti and L.S. Pedrotti, Introduction to Optics (Prentice-Hall, 1987); A. Kavokin, G. Malpuech, A. Di Carlo, P. Lugli, and F. Rossi, Phys. Rev. B 61, 4413 (2000).

    Google Scholar 

  44. M. Scalora et al., Phys. Rev. E 54, R1078 (1996).

    Article  Google Scholar 

  45. K. Busch and S. John, Phys. Rev. Lett. 83, 967 (1999).

    Article  Google Scholar 

  46. K. Yoshino, Y. Shimoda, Y. Kawagishi, K. Nakayama, and M. Ozaki, Appl. Phys. Lett. 75, 932 (1999); S.W. Leonard, J.P. Mondia, H.M. van Driel, O. Toader, S. John, K. Busch, A. Birner, U. Gosele, and V. Lehmann, Phys. Rev. B 61, R2389 (2000).

    Article  Google Scholar 

  47. D. Kang, J.E. Maclennan, N.A. Clark, A.A. Zakhidov, and R.H. Baughman, Phys. Rev. Lett. 86, 4052 (2001).

    Article  Google Scholar 

  48. Y. Shimoda, M. Ozaki, and K. Yoshino, Appl. Phys. Lett. 79, 3627 (2001); Q.B. Meng, C.H. Fu, S. Hayami, Z.Z. Gu, O. Sato, and A. Fujishima, J. Appl. Phys. 89, 5794 (2001); P. Mach, P. Wiltzius, M. Megens, D.A. Weitz, Keng-hui Lin, T.C. Lubensky, and A.G. Yodh, Phys. Rev. E 65, 031720 (2002).

    Article  Google Scholar 

  49. J.E.G.J. Wijnhoven and W.L. Vos, Science 281, 802 (1998); J.E.G.J. Wijnhoven, L. Bechger, and W.L. Vos, Chem. Mater. 13, 4486 (2001).

    Article  Google Scholar 

  50. A.F. Koenderink, L. Bechger, H.P. Schriemer, A. Lagendijk, and W.L. Vos, Phys. Rev. Lett. 88, 143903 (2002).

    Article  Google Scholar 

  51. G. Mertens, T. Röder, R. Schweins, K. Huber, and Heinz-S. Kitzerow, Appl. Phys. Lett. 80, 1885 (2002).

    Article  Google Scholar 

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Author information

Authors and Affiliations

  1. European Laboratory for Non-linear Spectroscopy and INFM, Via Nello Carrara 1, 50019, Sesto-Fiorentino (Florence), Italy

    D. S. Wiersma, S. Gottardo, R. Sapienza, S. Mujumdar, S. Cavalieri, M. Colocci & R. Righini

  2. INFM and Dept. of Physics, Univ. of Trento, via Sommarive 14, Povo (TN), Italy

    L. Dal Negro, C. Oton, M. Ghulinyan, Z. Gaburro & L. Pavesi

  3. Dept of Physics, Univ. of Puerto Rico, PO Box 23343, Rio Pedros, San Juan, Puerto Rico

    F. Aliev

  4. Univ. of Amsterdam, Valckenierstraat 65, 1018, XE Amsterdam, The Netherlands

    P. M. Johnson, A. Lagendijk & W. L. Vos

  5. Dept. of Appl. Physics & MESA + Research Inst., Univ. of Twente, P.O. Box 217, Enschede, The Netherlands

    P. M. Johnson, A. Lagendijk & W. L. Vos

Authors
  1. D. S. Wiersma
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  2. S. Gottardo
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  3. R. Sapienza
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  5. S. Cavalieri
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  6. M. Colocci
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  7. R. Righini
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  8. L. Dal Negro
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  9. C. Oton
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  10. M. Ghulinyan
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  11. Z. Gaburro
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  12. L. Pavesi
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  13. F. Aliev
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  14. P. M. Johnson
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  15. A. Lagendijk
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  16. W. L. Vos
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Editors and Affiliations

  1. Laboratoire de Physique et Modélisation des Milieux Condensés, CNRS, Université Joseph Fourier, Grenoble, France

    Bart A. van Tiggelen  & Sergey E. Skipetrov  & 

  2. Moscow State University, Russia

    Sergey E. Skipetrov

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Wiersma, D.S. et al. (2003). Light Transport in Complex Photonic Systems. In: van Tiggelen, B.A., Skipetrov, S.E. (eds) Wave Scattering in Complex Media: From Theory to Applications. NATO Science Series, vol 107. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0227-1_1

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  • DOI: https://doi.org/10.1007/978-94-010-0227-1_1

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