Experimental, Theoretical and Numerical Studies on NonlinearDispersive Wave Propagation

本文提出用实验、理论和数值方法研究非线性色散波的传播。孤立波是能在非线性介质中无畸变传播的脉冲。这项工作的目的是提供启发式的推导方法来代替抽象的数学模型来描述孤子脉冲的演化、稳定性和传播。这些方法可以快速评估给定物理系统所能支持的孤子的存在性和性质。这些研究将应用于自折射对高功率激光束在非线性介质中传播的影响，并有助于理解脉冲在非线性光纤中的传播。它们还将应用于高分辨率声光光束偏转问题。

This proposal addresses studies of nonlinear dispersive wave propagation using experimental, theoretical and numerical methods. Solitary waves are pulses that can travel without distortion in nonlinear media. The aim of the work is to provide heuristic methods of derivation in place of abstract mathematical models to describe the evolution, stability and propagation of soliton pulses. These approaches can enable rapid assessment of the existence and nature of solitons that a given physical system can support. The studies will be applied to the effects of self-refraction on the propagation of high power laser beams in nonlinear media and will aid in the understanding of pulse propagation in nonlinear optical fibers. They will also be applied to problems of high resolution acousto-optic beam deflection.