Fano interference governs wave transport in disordered systems

Nature Communications

Volumn 3, Issue , 2012, Pages

  Poddubny, Alexander N ^a,b   Rybin, Mikhail V ^a,b   Limonov, Mikhail F ^a,b   Kivshar, Yuri S ^a,c  

^a ITMO UNIVERSITY   (Russian Federation)

^b IOFFE INSTITUTE   (Russian Federation)

^c AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; BRAGG SCATTERING; DISORDERED SYSTEM; ELECTROMAGNETIC RADIATION; FANO INTERFERENCE; LIGHT SCATTERING; SPECTRUM; SYSTEM ANALYSIS;

EID: 84863328122     PISSN: None     EISSN: 20411723     Source Type: Journal    
DOI: 10.1038/ncomms1924     Document Type: Article

References (49)

1. Wiersma, D. S., Bartolini, P., Lagendijk, A. & Righini, R. Localization of light in a disordered medium. Nature 3 90, 671-673 (1997). (Pubitemid 28016351)
2. Chabanov, A. A., Stoytchev, M. & Genack, A. Z. Statistical signatures of photon localization. Nature 404, 850-853 (2000). (Pubitemid 30230331)
3. Schwartz, T., Bartal, G., Fishman, S. & Segev, M. Transport and Anderson localization in disordered two-dimensional photonic lattices. N ature 4 46, 52-55 (2007). (Pubitemid 46348050)
4. Billy, J. et al. Direct observation of Anderson localization of matter waves in a controlled disorder. Nature 4 53, 891-894 (2008). (Pubitemid 351832566)
5. Roati, G. et al. Anderson localization of a non-interacting Bose-Einstein condensate. N ature 453, 895-898 (2008). (Pubitemid 351832573)
6. Kappus, M. & Wegner, F. Anomaly in the band centre of the one-dimensional Anderson model. Z. Phys. B. 4 5, 15-21 (1981).
7. Lifshits, I., Gredeskul, S. & Pastur, L. I ntroduction to the Th eory of Disordered Systems (Wiley, New York, 1988).
8. Philipps, P. & Wu, H.- L. Localization and its absence: a new metallic state for conducting polymers. Science 252, 1805-1812 (1991). (Pubitemid 21917098)
9. Sánchez, A., Maciá, E. & Domínguez-Adame, F. Suppression of localization in Kronig-Penney models with correlated disorder. P hys. Rev. B. 4 9, 147-157 (1994).
10. Pendry, J. B. Quasi-extended electron states in strongly disordered systems. J. Phys. C Solid State Phys. 20, 733-742 (1987).
11. Bertolotti, J. et al. Wave transport in random systems: multiple resonance character of necklace modes and their statistical behavior. Phys. Rev. E 74, 035602 (2006).
12. Fano, U. Eff ects of confi guration interaction on intensities and phase shift s. Phys. Rev. 1 24, 1866-1878 (1961).
13. Connerade, J.- P. & Lane, A. Interacting resonances in atomic spectroscopy. Rep. Prog. Phys. 51, 1439 (1988).
14. Miroshnichenko, A. E., Flach, S. & Kivshar, Y. S. Fano resonances in nanoscale structures. R ev. Mod. Phys. 8 2, 2257-2298 (2010).
15. Yeh, P., Yariv, A. & Hong, C.- S. Electromagnetic propagation in periodic stratifi ed media. I. General theory. J. Opt. Soc. Am. 67, 423-437 (1977).
16. McGurn, A. R., Christensen, K. T., Mueller, F. M. & Maradudin, A. A. A. Anderson localization in one-dimensional randomly disordered optical systems that are periodic on average. P hys. Rev. B. 4 7, 13120-13125 (1993).
17. Freilikher, V. D., Liansky, B. A., Yurkevich, I. V., Maradudin, A. A. & McGurn, A. R. Enhanced transmission due to disorder. Phys. Rev. E 5 1, 6301-6304 (1995).
18. Vlasov, Y. A., Kaliteevski, M. I. & Nikolaev, V. V. Diff erent regimes of light localization in a disordered photonic crystal. Phys. Rev. B. 6 0, 1555-1562 (1999).
19. Kaliteevski, M. A., Beggs, D. M., Brand, S., Abram, R. A. & Nikolaev, V. V. Statistics of the eigenmodes and optical properties of one-dimensional disordered photonic crystals. Phys. Rev. E 7 3, 056616 (2006).
20. Greshnov, A., Kaliteevski, M., Abram, R., Brand, S. & Zegrya, G. Density of states in 1D disordered photonic crystals: Analytical solution. Solid State Commun. 146, 157-160 (2008).
21. Izrailev, F., Makarov, N. & Torres-Herrera, E. Anderson localization in bi-layer array with compositional disorder: Conventional photonic crystals versus metamaterials. Phys. B 4 05, 3022-3025 (2010).
22. Rybin, M. V. et al. Fano resonance between Mie and Bragg scattering in photonic crystals. P hys. Rev. Lett. 1 03, 023901 (2009).
23. Palacios-Lidón, E., Juárez, B. H., Castillo-Mart í nez, E. & López, C. Optical and morphological study of disorder in opals. J. Appl. Phys. 9 7, 063502 (2005).
24. Vlasov, Y. A. et al. Manifestation of intrinsic defects in optical properties of self-organized opal photonic crystals. Phys. Rev. E. 6 1, 5784-5793 (2000).
25. Baryshev, A. V., Kosobukin, V. A., Samusev, K. B., Usvyat, D. E. & Limonov, M. F. Light diff raction from opal-based photonic crystals with growth-induced disorder: Experiment and theory. P hys. Rev. B. 7 3, 205118 (2006).
26. Baryshev, A. V. et al. Resonant behavior and selective switching of stop bands in three-dimensional photonic crystals with inhomogeneous components. Phys. Rev. Lett. 99, 063906 (2007).
27. Rybin, M. V. et al. Selective manipulation of stop-bands in multi-component photonic crystals: opals as an example. Phys. Rev. B. 77, 205106 (2008).
28. Yariv, A. & Yeh, P. Optical Waves in Crystals (John Wiley and Sons, 1984)
29. Fouque, J.- P., Garnier, J., Papanicolaou, G. & S ø lna, K. W ave Propagation and Time Reversal in Randomly Layered Media (Springer, New York, 2007)
30. Tsang, L., Kong, J. & Ding, K. Scattering of Electromagnetic Waves: Th eories and Applications. Wiley series in remote sensing (J. Wiley, 2000).
31. Crisanti, A., Paladin, G. & Vulpiani, A. Products of Random Matrices in Statistical Physics. Springer series in solid-state sciences (Springer, 1993).
32. Biswas, R., Sigalas, M. M., Subramania, G., Soukoulis, C. M. & Ho, K.- M. Photonic band gaps of porous solids. Phys. Rev. B. 61, 4549-4553 (2000).
33. Li, Z.- Y. & Zhang, Z.- Q. Fragility of photonic band gaps in inverse-opal photonic crystals. P hys. Rev. B. 6 2, 1516-1519 (2000).
34. Koenderink, A. F., Lagendijk, A. & Vos, W. L. Optical extinction due to intrinsic structural variations of photonic crystals. Phys. Rev. B. 72, 153102 (2005).
35. Rengarajan, R., Mittleman, D., Rich, C. & Colvin, V. Eff ect of disorder on the optical properties of colloidal crystals. Phys. Rev. E 7 1, 016615 (2005).
36. Allard, M. & Sargent, E. H. Impact of polydispersity on light propagation in colloidal photonic crystals. Appl. Phys. Lett. 85, 5887-5889 (2004). (Pubitemid 40817929)
37. Hopfi eld, J. J., Dean, P. J. & Th omas, D. G. Interference between intermediate states in the optical properties of nitrogen-doped gallium phosphide. Phys. Rev. 158, 748-755 (1967).
38. Cerdeira, F., Fjeldly, T. A. & Cardona, M. Eff ect of free carriers on zone-center vibrational modes in heavily doped p-type Si. II. Optical modes. Phys. Rev. B. 8, 4734-4745 (1973).
39. Friedl, B, Th omsen, C. & Cardona, M. Determination of the superconducting gap in RBa2 Cu3 O7. P hys. Rev. Lett. 65 915-918 1990
40. Madhavan, V., Chen, W., Jamneala, T., Crommie, M. F. & Wingreen, N. S. Tunneling into a single magnetic atom: Spectroscopic evidence of the Kondo resonance. S cience 2 80, 567-569 (1998). (Pubitemid 28227755)
41. Limonov, M. F., Rykov, A. I., Tajima, S. & Yamanaka, A. Raman scattering study on fully oxygenated YBa 2 Cu 3 O 7 single crystals: x-y anisotropy in the superconductivity-induced eff ects. P hys. Rev. Lett. 8 0, 825-828 (1998). (Pubitemid 128623871)
42. Luk' yanchuk, B. et al. Th e Fano resonance in plasmonic nanostructures and metamaterials. Nat. Mater. 9, 707-715 (2010).
43. Borrmann, G. Die Absorption von R ö ntgenstrahlen im Fall der Interferenz. Zeitschrift f ü r Physik 127, 297-323 (1950).
44. Vinogradov, A. P. et al. Inverse Borrmann eff ect in photonic crystals. Phys. Rev. B. 8 0, 235106 (2009).
45. John, S. Strong localization of photons in certain disordered dielectric superlattices. Phys. Rev. Lett. 58, 2486-2489 (1987).
46. Faist, J. et al. Quantum cascade laser. Science 264, 553-556 (1994). (Pubitemid 24186835)
47. Rochat, M. et al. Low-threshold terahertz quantum-cascade lasers. Appl. Phys. Lett. 8 1, 1381-1383 (2002).
48. Hendrickson, J. et al. Excitonic polaritons in Fibonacci quasicrystals. Opt. Express 1 6, 15382-15387 (2008).
49. Werchner, M. et al. One dimensional resonant Fibonacci quasicrystals: noncanonical linear and canonical nonlinear eff ects. O pt. Express 1 7, 6813-6828 (2009).