Efficient parallel implementation of the nonparaxial beam propagation method

Sanchez-Curto, J; Chamorro-Posada, P; McDonald, GS

Abstract

An efficient parallel implementation of a nonparaxial beam propagation method for the numerical study of the nonlinear Helmholtz equation is presented. Our solution focuses on minimizing communication and computational demands of the method which are dependent on a nonparaxiality parameter. Performance tests carried out on different types of parallel systems behave according theoretical predictions and show that our proposal exhibits a better behavior than those solutions based on the use of conventional parallel fast Fourier transform implementations. The application of our design is illustrated in a particularly demanding scenario: the study of dark solitons at interfaces separating two defocusing Kerr media, where it is shown to play a key role.

Citation

Sanchez-Curto, J., Chamorro-Posada, P., & McDonald, G. (2014). Efficient parallel implementation of the nonparaxial beam propagation method. Parallel Computing, 40(8), 394-407. https://doi.org/10.1016/j.parco.2014.06.003

• Journal Article Type: Article
• Acceptance Date: Jun 4, 2014
• Publication Date: Jun 14, 2014
• Deposit Date: Aug 8, 2014
• Journal: Parallel Computing
• Print ISSN: 0167-8191
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 40
• Issue: 8
• Pages: 394-407
• DOI: https://doi.org/10.1016/j.parco.2014.06.003
• Publisher URL: http://dx.doi.org/10.1016/j.parco.2014.06.003
• Related Public URLs: http://www.journals.elsevier.com/parallel-computing/
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A 85 (2012) 013836.; Funders : Spanish Ministerio de Educación y Ciencia;Junta de Castilla y León; Grant Number: TEC2010-21303-C04-04; Grant Number: VA300A12-1