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A wavefront-based Gaussian beam method for computing high frequency wave propagation problems
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Numerical Analysis, NA. KTH, Centres, SeRC - Swedish e-Science Research Centre.ORCID iD: 0000-0002-6321-8619
2015 (English)In: Computers and Mathematics with Applications, ISSN 0898-1221, Vol. 69, no 9, 949-963 p.Article in journal (Refereed) Published
Abstract [en]

We present a novel wavefront method based on Gaussian beams for computing high frequency wave propagation problems. Unlike standard geometrical optics, Gaussian beams compute the correct solution of the wave field also at caustics. The method tracks a front of two canonical beams with two particular initial values for width and curvature. In a fast post-processing step, from the canonical solutions we recreate any other Gaussian beam with arbitrary initial data on the initial front. This provides a simple mechanism to include a variety of optimization processes, including error minimization and beam width minimization, for a posteriori selection of optimal beam initial parameters. The performance of the method is illustrated with two numerical examples.

Place, publisher, year, edition, pages
2015. Vol. 69, no 9, 949-963 p.
Keyword [en]
Asymptotic approximation, High frequency, Summation of Gaussian beams, Wave propagation, Wavefront methods
National Category
Other Mathematics
URN: urn:nbn:se:kth:diva-166945DOI: 10.1016/j.camwa.2015.02.021ISI: 000353613500004ScopusID: 2-s2.0-84926422117OAI: diva2:815088
Swedish eā€Science Research Center

QC 20150529

Available from: 2015-05-29 Created: 2015-05-21 Last updated: 2015-06-12Bibliographically approved

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Runborg, Olof
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Numerical Analysis, NASeRC - Swedish e-Science Research Centre
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