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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 20, Iss. 16 — Jul. 30, 2012
  • pp: 18156–18164

Route to strong localization of light: the role of disorder

Diego Molinari and Andrea Fratalocchi  »View Author Affiliations


Optics Express, Vol. 20, Issue 16, pp. 18156-18164 (2012)
http://dx.doi.org/10.1364/OE.20.018156


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Abstract

By employing Random Matrix Theory (RMT) and first-principle calculations, we investigated the behavior of Anderson localization in 1D, 2D and 3D systems characterized by a varying disorder. In particular, we considered random binary layer sequences in 1D and structurally disordered photonic crystals in two and three dimensions. We demonstrated the existence of a unique optimal degree of disorder that yields the strongest localization possible. In this regime, localized modes are constituted by defect states, which can show subwavelength confinement properties. These results suggest that disorder offers a new avenue for subwavelength light localization in purely dielectric media.

© 2012 OSA

OCIS Codes
(260.5740) Physical optics : Resonance
(290.4210) Scattering : Multiple scattering
(290.5825) Scattering : Scattering theory

ToC Category:
Scattering

History
Original Manuscript: June 15, 2012
Revised Manuscript: July 15, 2012
Manuscript Accepted: July 18, 2012
Published: July 23, 2012

Citation
Diego Molinari and Andrea Fratalocchi, "Route to strong localization of light: the role of disorder," Opt. Express 20, 18156-18164 (2012)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-20-16-18156


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References

  1. P. Anderson, “Absence of diffusion in certain random lattices,” Phys. Rev.109, 1492–1505 (1958). [CrossRef]
  2. S. John, “Strong localization of photons in certain disordered dielectric superlattices,” Phys. Rev. Lett.58, 2486–2489 (1987). [CrossRef] [PubMed]
  3. C. Conti and A. Fratalocchi, “Dynamic light diffusion, three-dimensional Anderson localization and lasing in inverted opals,” Nature Phys.4, 794–798 (2008). [CrossRef]
  4. M. P. V. Albada and A. Lagendijk, “Observation of weak localization of light in a random medium,” Phys. Rev. Lett.55, 2692–2695 (1985). [CrossRef] [PubMed]
  5. S. Gentilini, A. Fratalocchi, L. Angelani, G. Ruocco, and C. Conti, “Ultrashort pulse propagation and the Anderson localization,” Opt. Lett.34, 130–132 (2009). [CrossRef] [PubMed]
  6. P.-E. Wolf and G. Maret, “Weak localization and coherent backscattering of photons in disordered media,” Phys. Rev. Lett.55, 2696–2699 (1985). [CrossRef] [PubMed]
  7. D. S. Wiersma, P. Bartolini, A. Lagendijk, and R. Righini, “Localization of light in a disordered medium,” Nature390, 671–673 (1997). [CrossRef]
  8. A. A. Chabanov, M. Stoytchev, and A. Z. Genack, “Statistical signatures of photon localization,” Nature404, 850–853 (2000). [CrossRef] [PubMed]
  9. S. Gentilini, A. Fratalocchi, and C. Conti, “Signatures of Anderson localization excited by an optical frequency comb,” Phys. Rev. B81, 014209 (2010). [CrossRef]
  10. T. Schwartz, G. Bartal, S. Fishman, and M. Segev, “Transport and Anderson localization in disordered two-dimensional photonic lattices,” Nature446, 52–55 (2007). [CrossRef] [PubMed]
  11. M. Störzer, P. Gross, C. M. Aegerter, and G. Maret, “Observation of the critical regime near Anderson localization of light,” Phys. Rev. Lett.96, 063904 (2006). [CrossRef] [PubMed]
  12. R. Frank, A. Lubatsch, and J. Kroha, “Theory of strong localization effects of light in disordered loss or gain media,” Phys. Rev. B73, 245107 (2006). [CrossRef]
  13. F. Scheffold, R. Lenke, R. Tweer, and G. Maret, “Localization or classical diffusion of light,” Nature398, 206–209 (1999). [CrossRef]
  14. S. E. Skipetrov and B. A. van Tiggelen, “Dynamics of Anderson localization in open 3D media,” Phys. Rev. Lett.96, 043902 (2006). [CrossRef] [PubMed]
  15. S. John, “Electromagnetic absorption in a disordered medium near a photon mobility edge,” Phys. Rev. Lett.53, 2169–2174 (1984). [CrossRef]
  16. A. R. McGurn, K. T. Christensen, F. M. Mueller, and A. A. Maradudin, “Anderson localization in one-dimensional randomly disordered optical systems that are periodic on average,” Phys. Rev. B47, 13120–13125 (1993). [CrossRef]
  17. V. D. Freilikher, B. A. Liansky, I. V. Yurkevich, A. A. Maradudin, and A. R. McGurn, “Enhanced transmission due to disorder,” Phys. Rev. E51, 6301–6304 (1995). [CrossRef]
  18. Y. A. Vlasov, M. I. Kaliteevski, and V. V. Nikolaev, Phys. Rev. B, “Different regimes of light localization in a disordered photonic crystal,” Phys. Rev. B60, 1555–1562 (1999). [CrossRef]
  19. M. A. Kaliteevski, D. M. Beggs, S. Brand, R. A. Abram, and V. V. Nikolaev, “Statistics of the eigenmodes and optical properties of one-dimensional disordered photonic crystals,” Phys. Rev. E73, 056616–(10) (2006). [CrossRef]
  20. P. Sheng, Introduction to Wave Scattering, Localization, and Mesoscopic Phenomena (Academic Press, San Diego, 1995).
  21. 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). [CrossRef] [PubMed]
  22. A. Crisanti, G. Paladin, and A. Vulpiani, Products of Random Matrices in Statistical Physics (Springer, Berlin, 1993). [CrossRef]
  23. P. Markos and C. M. Soukoulis, Wave Propagation: from Electrons to Photonic Crystals and Left-Handed Materials (Princeton University Press, New Jersey, 2008).
  24. S. Zhang, J. Park, V. Milner, and A. Z. Genack, “Photon delocalization transition in dimensional crossover in layered media,” Phys. Rev. Lett.101, 183901 (2008). [CrossRef] [PubMed]
  25. M. Ghulinyan, “Periodic oscillations in transmission decay of Anderson localized one-dimensional dielectric systems,” Phys. Rev. Lett.99, 063905 (2007). [CrossRef] [PubMed]
  26. S. Ghosh, N. D. Psaila, R. R. Thomson, B. P. Pal, R. K. Varshney, and A. K. Kar, “Ultrafast laser inscribed waveguide lattice in glass for direct observation of transverse localization of light,” Appl. Phys. Lett.100, 101102 (2012). [CrossRef]
  27. J. M. Deutsch and G. Paladin, “Product of random matrices in a microcanonical ensemble,” Phys. Rev. Lett.62, 695–698 (1989). [CrossRef] [PubMed]
  28. F. Haake, Quantum Signatures of Chaos (Springer, New York, 2001).

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