Study On Holographic Solitons In Photorefractive Crystals With Both The Linear And Quadratic Electrooptic Effects

In the field of nonlinear optics, the study of spatial optical solitons occupies a very high position. In the development of many years of research, the spatial optical solitons formed in the symmetric or asymmetric photorefractive crystal are widely studied. But there are few people involved in the photorefractive spatial soliton in the combination of the two properties。In recent years, it has been discovered that some crystals can be combined to realize the combination of the two properties, and then open the door to the study of the formation of spatial optical solitons under the combination of the two properties. In this paper, we mainly study the formation of holographic solitons in photorefractive crystals, which are both linear and two electro-optic effects, in which the one or two wave coupling theory is applied to the theoretical model of the holographic solitons.Firstly, we discuss the formation of holographic solitons in photorefractive crystals, which are not considered in the linear and the two electro-optic effects, and derive the coherent coupling equations of the two beams, on the basis of this, the bright and dark soliton solutions of the symmetric and asymmetric components are discussed. The bright and dark soliton solutions of two kinds of cases are numerically simulated by using PMN-0.33 PT crystal as an example.Secondly the formation of holographic solitons in photorefractive crystals, which base on linear and two electro-optic effects, considering crystal absorption. The absorption coefficient is used in the derivation and the phase shift between the interference fringe and the refractive index grating is 0 or π, According to the above conditions, the bright and dark soliton solutions are derived, and the bright and dark solitons are numerically simulated In the crystal of LiNb O3.In the end, the effect of temperature on the bright soliton in the Hamiltonian system with two linear and electro-optic effects is studied. By means of analysis, it is shown that the relative dielectric constant and dark radiation intensity are mainly influenced by the system. In the end, the main effect of temperature effect on soliton is simulated by using PMN-0.33 PT crystal as an example, and the influence of the two factors is compared.