Christian, JM, McDonald, GS, Hodgkinson, TF and Chamorro-Posada, P 2012, 'Spatiotemporal dispersion and wave envelopes with relativistic and pseudorelativistic characteristics' , Physical Review Letters, 108 (3) , 034101-1-034101-5.

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Abstract

A generic nonparaxial model for pulse envelopes is presented. Classic Schro¨dinger-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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