Spatial grid symmetries and reduced models in the simulation of beam counterpropagation in a nonlinear medium

Mcdonald, GS and Firth, WJ 1993, 'Spatial grid symmetries and reduced models in the simulation of beam counterpropagation in a nonlinear medium' , Journal of Modern Optics, 40 (1) , pp. 23-32.

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Abstract

In the context of the nonlinear interaction of counterpropagating light beams, we demonstrate the unrealistic symmetries that arise in the simulation of spontaneous pattern formation when using square computational grids. We have formulated a generalization of the split-step Fourier method which allows for non-orthogonal spatial grids. Implementation is shown to be simple and to entail negligible computational overheads. Results for two-dimensional Gaussian and extended cosine-bell input beam profiles are presented.

Item Type:	Article
Themes:	Energy Media, Digital Technology and the Creative Economy Subjects outside of the University Themes
Schools:	Schools > School of Computing, Science and Engineering > Salford Innovation Research Centre
Journal or Publication Title:	Journal of Modern Optics
Publisher:	Taylor & Francis
Refereed:	Yes
ISSN:	0950-0340
Related URLs:	http://www.tandfonline.com/doi/abs/10.10...
Depositing User:	GS McDonald
Date Deposited:	14 Oct 2011 11:21
Last Modified:	09 Aug 2017 02:05
URI:	http://usir.salford.ac.uk/id/eprint/18352

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