Anomalous Localization of Light in One-Dimensional Disordered Photonic Superlattices
Main Article Content
Keywords
anderson localization, anomalous phenomenon brewster, optical Impedance.
Abstract
The Anderson localization of light in one-dimensional disordered photonic superlattices is theoretically studied. The system is considered to be made of alternating dispersive and nondispersive layers of different randomthickness. Dispersive slabs of the heterostructure are characterized by Drude-like frequency-dependent electric permittivities and magnetic permeabilities. Numerical results for the localization length are obtained via an analytical model, only valid in the case of weak disorder, and also through its general definition involving the transmissivity of the multilayered system. Anomalous λ4- and λ-4-dependencies of the localization length in positive-negative disordered photonic superlattices are obtained, in certain cases, in the long and short wavelength limits, respectively.
PACS: 78.67.Pt; 42.25.-p; 46.65.+g; 72.15.Rn
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References
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[3] J. B. Pendry, “Symmetry and transport of waves in one-dimensional disordered systems,” Advances in Physics, vol. 43, pp. 461-542, 1994.
[4] M. M. Sigalas, C. M. Soukoulis, C. T. Chan, R. Biswas and K. M. Ho, “Effect of disorder on photonic band gaps,” Phys. Rev. B, vol. 59, pp. 12767-12770, 1999.
[5] J. Bertolotti, S. Gottardo and D. S. Wiersma, “Optical Necklace States in Anderson Localized 1D Systems,” Phys. Rev. Lett., vol. 94, pp. 113903, 2005.
[6] J. Bertolotti, M. Galli, R. Sapienza, M. Ghulinyan, S. Gottardo, L. C. Andreani, L. Pavesi and D. S. Wiersma, “Wave transport in random systems: Multiple resonance character of necklace modes and their statistical behavior,” Phys. Rev. E, vol. 74, pp. 035602, 2006.
[7] S. F. Liew and H. Cao, “Optical properties of 1D photonic crystals with correlated and uncorrelated disorder,” Journal of Optics, vol. 12, pp. 024011, 2010.
[8] 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. B, vol. 47, pp. 13120-13125, 1993.
[9] D. S. Wiersma, P. Bartolini, A. Lagendijk and R. Righini, “Localization of light in a disordered medium,” Nature, vol. 390, pp. 671-673, 1997.
[10] J. Topolancik, B. Ilic and F. Vollmer, “Experimental Observation of Strong Photon Localization in Disordered Photonic CrystalWaveguides,” Phys. Rev. Lett., vol. 99, pp. 253901, 2007.
[11] A. A. Asatryan, L. C. Botten, M. A. Byrne, V. D. Freilikher, S. A. Gredeskul, I. V. Shadrivov, R. C. McPhedran and Y. S. Kivshar, “Suppression of Anderson Localization in Disordered Metamaterials,” Phys. Rev. Lett., vol. 99, pp. 193902, 2007.
[12] Y. Lahini, A. Avidan, F. Pozzi, M. Sorel, R. Morandotti, D. N. Christodoulides and Y. Silberberg, “Anderson Localization and Nonlinearity in One-Dimensional Disordered Photonic Lattices,” Phys. Rev. Lett., vol. 100, pp. 013906, 2008.
[13] F. M. Izrailev and N. M. Makarov, “Localization in Correlated Bilayer Structures: From Photonic Crystals to Metamaterials and Semiconductor Superlattices,” Phys. Rev. Lett., vol. 102, pp. 203901, 2009.
[14] D. Mogilevtsev, F. A. Pinheiro, R. R. dos Santos, S. B. Cavalcanti and L. E. Oliveira, “Suppression of Anderson localization of light and Brewster anomalies in disordered superlattices containing a dispersive metamaterial,” Phys. Rev. B, vol. 82, pp. 081105, 2010.
[15] D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser and S. Schultz, “Composite Medium with Simultaneously Negative Permeability and Permittivity,” Phys. Rev. Lett., vol. 84, pp. 4184-4187, 2000.
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[19] E. Reyes-Gómez, A. Bruno-Alfonso, S. B. Cavalcanti and L. E. Oliveira, “Anderson localization and Brewster anomalies in photonic disordered quasiperiodic lattices,” Phys. Rev. E, vol. 84, pp. 036604, 2011.
[20] M. Mazilu and K. Dholakia, “Optical impedance of metallic nano-structures,” Optics Express, vol. 14, pp. 7709-7722, 2006.
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Published
Sep 26, 2013
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How to Cite
Aristizábal-Giraldo, D., & Reyes-Gómez, E. (2013). Anomalous Localization of Light in One-Dimensional Disordered Photonic Superlattices. Ingeniería Y Ciencia, 9(18), 141–151. https://doi.org/10.17230/ingciecia.9.18.8
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Vicerrectoría de Investigación, Sistema de Bienestar Universitario and Instituto de Física Universidad de Antioquia
Author Biography
E Reyes-Gómez, Universidad de Antioquia
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