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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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.
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|Schools:||Colleges and Schools > College of Science & Technology > School of Computing, Science and Engineering > Materials & Physics Research Centre|
|Journal or Publication Title:||Journal of Modern Optics|
|Publisher:||Taylor & Francis|
|Depositing User:||GS McDonald|
|Date Deposited:||14 Oct 2011 11:21|
|Last Modified:||20 Aug 2013 17:14|
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