The Effects Of Boundary Conditions On The Transmission Characteristics Of The Spatial Optical Soliton

The spatial optical soliton has wide applications in the optical drive, the optical switch, the optical communication, the optical information storage, the particle control and the atomic cooling, etc. So the study of dynamics of spatial solitons is of great importance both in theory and in practice.The effects of boundary conditions on the transmission characteristics of the spatial optical soliton are mainly investigated in this thesis, which include the following two parts:1. Effects of boundaries in the thermal nonlinear media on spatial optical solitons.Based on the experimental results of the lead glass samples with the rectangular and the circular cross-sections, the effects of the two boundary conditions on the oscillatory trajectory and the period of the spatial optical soliton are discussed theoretically by the heat transfer equation and the paraxial nonlinear wave equation when the paraxial light beam is launched off center.2. Effects of hollow cylinder boundary conditions on the two-dimensional spatial optical solitons in strongly nonlocal nonlinear media.By using the Self-Similar Method to solve NLSE with distributed coefficients, the Self-Similar Solitons in Bessel Lattice are studied under the hollow cylinder boundary conditions and the analytical solutions are obtained. In addition, the analytical results are shown in figures from the software MATLAB, which are compared with the numerical results from the software COMSOL. Some analysis and discussions are made accordingly in this section.