Spatiotemporal dispersion and wave envelopes with relativistic and pseudorelativistic characteristics

Christian, JM; McDonald, GS; Hodgkinson, TF; Chamorro-Posada, P

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.

Citation

Christian, J., McDonald, G., Hodgkinson, T., & Chamorro-Posada, P. (2012). Spatiotemporal dispersion and wave envelopes with relativistic and pseudorelativistic characteristics. Physical Review Letters, 108(3), 034101-1. https://doi.org/10.1103/PhysRevLett.108.034101

• Journal Article Type: Article
• Publication Date: Jan 1, 2012
• Deposit Date: Mar 29, 2012
• Publicly Available Date: Apr 5, 2016
• Journal: Physical Review Letters
• Print ISSN: 0031-9007
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 108
• Issue: 3
• Pages: 034101-1
• DOI: https://doi.org/10.1103/PhysRevLett.108.034101
• Publisher URL: http://dx.doi.org/10.1103/PhysRevLett.108.034101