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Spatiotemporal dispersion and wave envelopes with relativistic and pseudorelativistic characteristics

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.

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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.

Item Type: Article
Themes: Subjects outside of the University Themes
Schools: Schools > School of Computing, Science and Engineering > Salford Innovation Research Centre (SIRC)
Journal or Publication Title: Physical Review Letters
Publisher: American Physical Society
Refereed: Yes
ISSN: 0031-9007
Depositing User: Users 29196 not found.
Date Deposited: 29 Mar 2012 16:09
Last Modified: 29 Oct 2015 00:10
URI: http://usir.salford.ac.uk/id/eprint/20823

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