用二维Sine-Gordon方程描述超短光子弹
Ultrashort light bullets described by the two-dimensional sine-Gordon equation
摘要：
通过将约化微扰技术应用于二能级模型，在慢变包络近似下，提出了一个控制飞秒时空光孤子在Kerr介质中传输的一般二维sine-Gordon演化方程.直接的数值模拟表明，在长波近似相反，没有崩溃发生，和鲁棒的（2+1）维超短光子弹可以形成从适当选择的几个周期的输入时空波的形式。与二次非线性的情况相反，光子弹在空间和时间上都是振荡的，因此不是稳态块。
英文摘要：
By using a reductive perturbation technique applied to a two-level model, this study puts forward a generic two-dimensional sine-Gordon evolution equation governing the propagation of femtosecond spatiotemporal optical solitons in Kerr media beyond the slowly varying envelope approximation. Direct numerical simulations show that, in contrast to the long-wave approximation, no collapse occurs, and that robust (2+1)-dimensional ultrashort light bullets may form from adequately chosen few-cycle input spatiotemporal wave forms. In contrast to the case of quadratic nonlinearity, the light bullets oscillate in both space and time and are therefore not steady-state lumps.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
