Joule Physics Laboratory, School of Computing, Science and Engineering, Materials & Physics Research Centre, University of Salford, Salford M5 4WT, United Kingdom.
Phys Rev Lett. 2012 Jan 20;108(3):034101. doi: 10.1103/PhysRevLett.108.034101. Epub 2012 Jan 17.
A generic nonparaxial model for pulse envelopes is presented. Classic Schrödinger-type descriptions of wave propagation have their origins in slowly-varying envelopes combined with a Galilean boost to the local time frame. By abandoning these two simplifications, a picture of pulse evolution emerges in which frame-of-reference considerations and space-time transformations take center stage. A wide range of effects, analogous to those in special relativity, then follows for both linear and nonlinear systems. Explicit demonstration is presented through exact bright and dark soliton pulse solutions.
本文提出了一种通用的非傍轴脉冲包络模型。经典的薛定谔型波传播描述源于缓变包络与局部时帧伽利略变换的结合。通过放弃这两个简化条件，可以得到一个脉冲演化的图景，其中参考系考虑和时空变换占据了中心舞台。对于线性和非线性系统，都会出现类似于狭义相对论的广泛效应。通过精确的亮暗孤子脉冲解进行了明确的演示。
