Ivanov Sergey K, Suchorski Jules-Elémir, Kamchatnov Anatoly M, Isoard Mathieu, Pavloff Nicolas
Moscow Institute of Physics and Technology, Institutsky Lane 9, Dolgoprudny, Moscow Region 141700, Russia.
Institute of Spectroscopy, Russian Academy of Sciences, Troitsk, Moscow 108840, Russia.
Phys Rev E. 2020 Sep;102(3-1):032215. doi: 10.1103/PhysRevE.102.032215.
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 steplike 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.
我们采用基于惠特姆平均法的古列维奇 - 皮塔耶夫斯基方法，来研究强光脉冲在可饱和非线性介质中传播时色散冲击波的形成。尽管在这种情况下惠特姆调制方程无法对角化，但色散冲击波的主要特征可通过分析这些方程在冲击波边界处的性质得出。我们的方法将先前对阶梯状初始强度分布的分析推广到更现实的初始光脉冲类型，并使得在具有实验意义的设定中能够确定诸如波破碎时间或冲击波边缘的位置和光强等可测量量的值。
