Optical dispersive shock waves in defocusing colloidal media

PHYSICA D-NONLINEAR PHENOMENA

卷:342

Article

An, X.¹  Marchant, T. R.¹  Smyth, N. F.^1,2 

[1] Univ Wollongong, Sch Math & Appl Stat, Northfields Ave, Wollongong, NSW 2522, Australia

[2] Univ Edinburgh, Sch Math, James Clerk Maxwell Bldg,Kings Bldg, Edinburgh, Midlothian, Scotland

关键词: Undular bores;    Dispersive shock waves;    Optical solitary waves;    Modulation theory;    Colloidal media;   

DOI  :  10.1016/j.physd.2016.11.004

来源: Elsevier

【 摘 要 】

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 Schrodinger 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 Schrodinger 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 Schrodinger equation and the full colloid equations for arbitrary light intensity. These results are compared with numerical solutions of the colloid equations. (C) 2016 Elsevier B.V. All rights reserved.

【 授权许可】

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