Abstract
One investigates a light localization at laser pulse propagation in 1D (layered) or 2D nonlinear photonic structure. The light localization takes place due to appearance of spatial solitons which velocities depend on their intensities and location in the photonic crystal. This results in changing of velocities of sub-pulses which are not soliton and reflect or transmit through the nonlinear photonic crystal. We found out the formation of two types of solitons. One of them is appeared in separate layer. This soliton appear because of cubic nonlinear response. The second type of soliton spreads over some layers of the photonic crystal. This soliton is found out on the base of solving the eigenvalue function. We consider also the Anderson localization in photonic crystal with nonlinearity. The main result of this part of the investigation is a prevalence of nonlinear localization over the Anderson localization. The formation of soliton depends on input light intensity, duration of pulse and shape of elements from which the photonic crystal consists. In 2D case the soliton formation depends on focusing of laser beam and on presence of laser energy in neighbouring elements of the photonic crystal. These solitons move with slow velocity inside the elements of the photonic crystal. Under certain conditions the soliton can stop. This phenomenon can be used for data storage. The similar solitons can appear in many elements of the photonic crystal.
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