Study On Gap Solitons In Parity-Time Optical Lattice

The research of solitons has attracted wide interest in recent years. It is very important to study the theory and the practical application of optical solitons. In theory, the research of the optical solitons can promote the development of the adjacent subjects, and improve the basic theory of nonlinear optics. In application,spatial optical solitons can be used to realize fast optical switch and optical routing,and has broad application prospects in all optical networks and optical computing.The theoretical research of spatial optical soliton can provide guidance to its practical application.In this paper, we used numerical methods to study the transmission dynamics of solitons in optical lattice.The numerical methods used in this paper include: the Modified Squared-Operator Iteration Method, the Plane Wave-Expansion Method, the Split-Step Method and the Fourier Collocation Method. Nonlocal nonlinear Schrodinger equation is very different from the local nonlinear Schrodinger equation,for these different, we improved the numerical calculation methods of the existing ones.In this paper, we studied the multi-peak solitons in the PT symmetric optical lattice in the form of superlattice and dual superlattice. The structure of the optical lattice can have great influences on the formation and stability of the soliton. The transmission dynamic of the soliton can be controlled by controlling the structure and parameters of the optical lattice. The superlattice structure can be created by adding another cycle on the existing potential function. We studied how the relative depth of superlattice and the PT potential of lattice can affect the transmission dynamics of solitons.We also studied the existence and stability of two dimensional solitons in nonlocal optical lattice. Different from the local media, the nonlinear response of each point in the nonlocal media is not only related to the intensity of this point, but also related to the intensity of all region. Spatial optical solitons in nonlocal optical lattice is different from the local media. In this paper, we studied how the degrees ofnonlocality affect the spatial solitons existence and stability, and we also studied nonlocal spatial optical solitons transmission dynamics in PT optical lattice.