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

Mcdonald, GS; Firth, WJ

Authors

WJ Firth



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.

Citation

Mcdonald, G., & Firth, W. (1993). Spatial grid symmetries and reduced models in the simulation of beam counterpropagation in a nonlinear medium. Journal of Modern Optics, 40(1), 23-32. https://doi.org/10.1080/09500349314550041

Journal Article Type Article
Publication Date Jan 1, 1993
Deposit Date Oct 14, 2011
Journal Journal of Modern Optics
Print ISSN 0950-0340
Publisher Taylor and Francis
Peer Reviewed Peer Reviewed
Volume 40
Issue 1
Pages 23-32
DOI https://doi.org/10.1080/09500349314550041
Publisher URL http://dx.doi.org/ 10.1080/09500349314550041
Related Public URLs http://www.tandfonline.com/doi/abs/10.1080/09500349314550041