5 October 2005 Influence of Anderson localization on nonlinear light localization in 1-D photonic crystal
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Abstract
Anderson localization in linear and weak nonlinear 1-D photonic crystal (PC) is considered. An influence of PC layers length fluctuations on nonlinear localization is also under consideration. The nonlinear light localization takes place due to self-formation of ultra-short high-intensity solitons, which reflect from boundaries between the linear and nonlinear layers as whole if nonlinear PC layers alternate with the linear ones. The variation (up to 20 %) of PC layer's length doesn't change the nonlinear localization process essentially. It results in increasing of input pulse intensity for which localization takes place. This aspect is very important for observing of it in physical experiment. In contrast to Anderson localization, the nonlinear one takes place not only in PC with big number of layers, but in a few-periodical structures too. The strong variation can either increase the quantity of initial pulse energy localized in PC, either damp the localization at all under the condition of unvaried intensity of input pulse.
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Vyacheslav A. Trofimov, Evgenii B. Tereshin, "Influence of Anderson localization on nonlinear light localization in 1-D photonic crystal", Proc. SPIE 5949, Nonlinear Optics Applications, 59490L (5 October 2005); doi: 10.1117/12.621794; https://doi.org/10.1117/12.621794
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