论文标题
在可饱和的非线性介质中形成色散冲击波
Formation of dispersive shock waves in a saturable nonlinear medium
论文作者
论文摘要
我们使用基于WHITHAM平均方法的Gurevich-Pitaevskii方法来研究通过可饱和的非线性培养基传播的强光脉冲中分散性冲击波的形成。尽管在这种情况下不能将WHITHAM调制方程对角线化，但分散性休克的主要特征可以通过分析在冲击边界上对这些方程的性质进行分析来得出。我们的方法将先前对阶梯式初始强度分布的分析推广到更现实的初始光脉冲类型，并可以在实验感兴趣的情况下确定可测量数量的值，例如断波浪时间或冲击边缘的位置和光强度。
We use the Gurevich-Pitaevskii approach based on the Whitham averaging method for studying the formation of dispersive shock waves in an intense light pulse propagating through a saturable nonlinear medium. Although the Whitham modulation equations cannot be diagonalized in this case, the main characteristics of the dispersive shock can be derived by means of an analysis of the properties of these equations at the boundaries of the shock. Our approach generalizes a previous analysis of step-like initial intensity distributions to a more realistic type of initial light pulse and makes it possible to determine, in a setting of experimental interest, the value of measurable quantities such as the wave-breaking time or the position and light intensity of the shock edges.
