The Multipole Modes And Their Stability Analysis In Nonlocal Nonlinear Optical Lattices

Recently, spatial solitons are study due to great potential applications in all-optical information technology. Because of spatial solitons have unique physical attributes, it become the important way of all optical communication. Based on a study of background, we introduced the relevant contents of spatial soliton, including its classification and some nonlinear responses materials. The thesis focuses on analysis and simulation of propagation dynamics of spatial solitons in the nonlocal nonlinear Kerr medium and in nonlinear Kerr-type media with an imprinted optical lattice. The main contents are as follows:1. We first get the nonlocal nonlinear Schrodinger equation by the Maxwell equations—the general theory model of soliton. Introduced the nonlinear media with an exponential response function and the propagation equation of soliton in nonlocal nonlinear Kerr medium. At the same time, this paper presents two study numerical method—Fourier transform method and Newton iterative algorithm.2. We address the propagation, existence and dynamics behavior of spatial solitons in the nonlocal nonlinear Kerr medium. Optical model is showed by numerical simulation and dynamics behavior of soliton in the process of transmission through Fourier transform method. It is revealed that ground-state solitons and dipole-mode solitons are stable in the entire domain of their existence. But triple-mode and quadrupole-mode solitons are oscillatory unstable in the some domain.3. We address the model and stability of multipole-mode solitons in nonlinear Kerr-type media with an imprinted optical lattice, we numerically solve the nonlinear Schrodinger equation and obtain their stationary solutions. We address the evolution of the energy flow of odd, even and first twisted solitons with the propagation constant in nonlocal nonlinear optical lattices. Specially, we present the optical mode of third twisted solitons and fourth twisted solitons in nonlocal nonlinear optical lattices and analyzes that the profiles of higher order solitons for the different lattice modulation depth and the degree of nonlocality of nonlinear response, and discuss their stabilities by the linear stability analysis, The results indicated that their range of instabilities have somewhat expanded. We manipulate multipole-mode soliton by changing the modulation parameters of light such as cycle grid. We believe that the important practical significance due to its potential application in all-optical control and all-optical information.