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Dynamics of quadratic soliton excitation

机译:二次孤子激发的动力学

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摘要

We study the dynamics of the soliton-radiation interaction in the process of soliton excitation in quadratic nonlinear media. The focus is on the dynamics of initial signals that are not weakly perturbed exact solitons. We use a combination of numerical experiments and analytical tools based on the integral conserved quantities of the wave evolution. We show the rate of convergence of representative, experimentally relevant inputs, to the asymptotic soliton states. A measure of soliton content of arbitrary input signals is introduced and evaluated in several representative examples. The dynamic evolution of oscillating solitons is studied using generalized Stokes parameters.
机译:我们研究了二次非线性介质中孤子激发过程中孤子-辐射相互作用的动力学。重点是初始信号的动力学,该信号不会对精确的孤子产生微弱的干扰。我们基于波浪演化的整体守恒量,结合使用了数值实验和分析工具。我们显示了代表性的,实验上相关的输入到渐近孤子状态的收敛速度。在几个代表性示例中,引入并评估了任意输入信号的孤子含量的度量。使用广义的斯托克斯参数研究了振荡孤子的动态演化。

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