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Published on: February 13, 2018
Spatiotemporal dispersion and wave envelopes with relativistic and pseudorelativistic characteristics
J M Christian1, G S McDonald, T F Hodgkinson
1Joule Physics Laboratory, School of Computing, Science and Engineering, Materials & Physics Research Centre, University of Salford, Salford M5 4WT, United Kingdom.
Abstract:
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.
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