A light energy transfer of femtosecond pulse through band-gap of 1-D nonlinear photonic crystal (PC) with
disorder of layers length or without it is shown. To realize this phenomenon it is necessary to use a light
pulse with sufficient short duration. This pulse can penetrate in photonic crystal despite on band-gap. After
that the nonlinear response of photonic crystal results in shifting of structure frequency and for pulse with
sufficient intensity a transparence of PC appears. Computer simulation was made on the base of original approach
for describing of laser light propagation in photonic crystal. As boundary conditions the nonreflecting boundary conditions developed for this problem are used.
An effect of light localization in nonlinear 1-D photonic crystal (PC) with a few layers pairs is considered. Computer simulation of the femtosecond pulse propagation shown a self-formation of ultra-short high-intensity solitons, which reflect from boundaries of 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 localization process essentially. It results in increasing of input pulse intensity for which localization takes place. This aspect is very important for observing of effect in physical experiment. The stronger 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. Computer simulation based on a new approach for this class of problems proposed by authors recently. Our method has advantages in comparison to the widely used splitting method.
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.
A new effect of light localization in nonlinear layers of photonic crystal is predicted. It is shown that during the initial pulse propagation through the nonlinear medium an ultra-short high-intensity solitons, which are reflected from the boundaries of the linear and nonlinear layers as a whole, are formed. Hence, the soliton sub-pulses are captured by the nonlinear layer of the photonic crystal. Soliton interaction is discussed as well. Computer simulation based on a new approach for this class ofproblems is proposed by the authors.
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