Study On Soliton Propagation Dynamics In Boundary Force Field

In this paper,the dynamic properties of spatial optical solitons in thermal nonlinear media and their stability in the force field formed by the boundary conditions of transmission media are studied.The special dynamic characteristics of spatial optical solitons are found in the force field generated by the transmission medium under the square boundary condition,and the distribution of the field intensity and the torque of the field generated by the boundary condition is calculated.It is found in this paper that when the space light soliton is released from the center of the force field,the space light soliton has a special motion state,and the trajectory formed by this special motion state is similar to the Lissajous-Figure.The formation of the boundary field inherits the symmetry of the boundary,so the boundary field also has symmetry axis.When the space optical soliton is far away from one field symmetry axis and exceeds the critical point,the motion state of the spatial optical soliton will have a sudden change,and the motion region of the optical soliton bound to the field symmetry axis will become attached to another symmetry axis.Some special oscillatory states such as the trajectories of Lissajous-Figure are found in the dynamic properties of solitons.In addition,the boundary conditions of regular pentagons and regular hexagons are also studied,and the motion characteristics of spatial optical solitons are given.1.The theoretical content of this paper is presented.Based on Maxwell’s equations,the nonlinear Schrodinger equation is given.Then the transport equations in the thermal response nonlocal nonlinear transport media are derived and the normalized equation results are given.In the dynamic part of spatial optical solitons,the equation of Ehrenfest’s theory is derived and its dynamic characteristics are studied by numerical simulation.2.The special dynamic phenomenon of spatial optical solitons in the transmission medium with polygon boundary conditions is found.The soliton motion has special regionality in the non-local nonlinear transmission medium with square boundary condition.The special dynamic characteristics are studied and analyzed systematically,the transition point of each moving region is given,and the linear variation of the transition point is found.The spatial optical solitons with regular pentagonal boundary conditions have different abrupt changes.The change of the motion state is described by the parameter of orbital precession Angle.Under the boundary condition of regular hexagon,spatial optical solitons have different mutation properties from that under the boundary condition of quadrilateral.3.The refractive index variation of the propagation medium and the intensity distribution of the optical solitons in vortex space are given when they are transmitted in the transmission medium with different boundary conditions.The stability of third-order optical solitons in vortex space in transmission media is studied,and the stability of optical solitons in vortex space with topological charge M ≤2 is verified.4.It is found that the quasi-periodic motion stability of third-order vortex spatial optical solitons in the transmission medium is affected by boundary conditions,and increases with the increase of the number of boundary conditions of the transmission medium,and reaches its maximum under the circular boundary conditions of the transmission medium.The propagation phenomena of regular triangle,regular quadrilateral,regular pentagonal and circular boundary conditions are given,and the conclusion that the boundary conditions of transmission media affect the stability of optical solitons in vortex space is proved to be accurate.