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Gaussian Beam Decomposition of High Frequency Wave Fields Using Expectation-Maximization
Department of Mathematics, Bar-Ilan University, Ramat Gan, Israel.
Department of Mathematics, The University of Texas at Austin, Austin, USA.
Department of Mathematics, The University of Texas at Austin, Austin, USA.
Department of Mathematics, The University of Texas at Austin, Austin, USA.
2011 (English)In: Journal of Computational Physics, ISSN 0021-9991, E-ISSN 1090-2716, Vol. 230, no 6, 2303-2321 p.Article in journal (Refereed) Published
Abstract [en]

A new numerical method for approximating highly oscillatory wave fields as a superposition of Gaussian beams is presented. The method estimates the number of beams and their parameters automatically. This is achieved by an expectation–maximization algorithm that fits real, positive Gaussians to the energy of the highly oscillatory wave fields and its Fourier transform. Beam parameters are further refined by an optimization procedure that minimizes the difference between the Gaussian beam superposition and the highly oscillatory wave field in the energy norm.

Place, publisher, year, edition, pages
Elsevier, 2011. Vol. 230, no 6, 2303-2321 p.
Keyword [en]
Gaussian beams, Expectation–maximization, High frequency waves, Wave equation
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-71805DOI: 10.1016/j.jcp.2010.12.018ISI: 000287425400007OAI: oai:DiVA.org:kth-71805DiVA: diva2:487058
Note
QC 20120201Available from: 2012-01-31 Created: 2012-01-31 Last updated: 2017-12-08Bibliographically approved

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