title: Spatiotemporal dispersion and wave envelopes with relativistic and pseudorelativistic characteristics.
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.
authors.affiliation: Joule Physics Laboratory, School of Computing, Science and Engineering, Materials & Physics Research Centre, University of Salford, Salford M5 4WT, United Kingdom.
authors.forename: J M
authors.initials: JM
authors.lastname: Christian
authors.forename: G S
authors.initials: GS
authors.lastname: McDonald
authors.forename: T F
authors.initials: TF
authors.lastname: Hodgkinson
authors.forename: P
authors.initials: P
authors.lastname: Chamorro-Posada