Optical dispersive shock waves in defocusing colloidal media

Xin An, Timothy Marchant, Noel Smyth

Research output: Contribution to journalArticlepeer-review

Abstract

The propagation of an optical dispersive shock wave, generated from a jump discontinuity in light
intensity, in a defocusing colloidal medium is analysed. The equations governing nonlinear light
propagation in a colloidal medium consist of a nonlinear Schrödinger equation for the beam and an
algebraic equation for the medium response. In the limit of low light intensity, these equations reduce to a
perturbed higher order nonlinear Schrödinger equation. Solutions for the leading and trailing edges of the
colloidal dispersive shock wave are found using modulation theory. This is done for both the perturbed
nonlinear Schrödinger equation and the full colloid equations for arbitrary light intensity. These results
are compared with numerical solutions of the colloid equations.

Original languageEnglish
Pages (from-to)45-56
Number of pages12
JournalPhysica D: Nonlinear Phenomena
Volume342
Early online date24 Nov 2016
DOIs
Publication statusPublished - 1 Mar 2017

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