Transverse localization of light in nonlinear photonic lattices with dimensionality crossover
- Institute of Physics, University of Belgrade, P. O. Box 68, 11001 Belgrade (Serbia)
- Texas A and M University at Qatar, P.O. Box 23874, Doha (Qatar)
- Institut fuer Angewandte Physik and Center for Nonlinear Science (CeNoS), Westfaelische Wilhelms-Universitaet Muenster, D-48149 Muenster (Germany)
In a numerical study, we demonstrate the dimensionality crossover in Anderson localization of light. We consider crossover from the two-dimensional (2D) to the one-dimensional (1D) lattice, optically induced in both linear and nonlinear dielectric media. The joint influence of nonlinearity and disorder on Anderson localization in such systems is discussed in some detail. We find that, in the linear regime, the localization is more pronounced in two dimensions than in one dimension. We also find that the localization in the intermediate cases of crossover is less pronounced than in both the pure 1D and 2D cases in the linear regime, whereas in the nonlinear regime this depends on the strength of the nonlinearity. There exist strongly nonlinear regimes in which 1D localization is more pronounced than the 2D localization, opposite to the case of the linear regime. We find that the dimensionality crossover is characterized by two different localization lengths, whose behavior is different along different transverse directions.
- OSTI ID:
- 22093367
- Journal Information:
- Physical Review. A, Vol. 84, Issue 4; Other Information: (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
- Country of Publication:
- United States
- Language:
- English
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