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High-frequency wave propagation by the segment projection method
KTH, School of Computer Science and Communication (CSC), Numerical Analysis, NA.
KTH, Superseded Departments, Numerical Analysis and Computer Science, NADA.ORCID iD: 0000-0002-6321-8619
2002 (English)In: Journal of Computational Physics, ISSN 0021-9991, E-ISSN 1090-2716, Vol. 178, no 2, 373-390 p.Article in journal (Refereed) Published
Abstract [en]

Geometrical optics is a standard technique used for the approximation of high-frequency wave propagation. Computational methods based on partial differential equations instead of the traditional ray tracing have recently been applied to geometrical optics. These new methods have a number of advantages but typically exhibit difficulties with linear superposition of waves. In this paper we introduce a new partial differential technique based on the segment projection method in phase space. The superposition problem is perfectly resolved and so is the problem of computing amplitudes in the neighborhood of caustics. The computational complexity is of the same order as that of ray tracing. The new algorithm is described and a number of computational examples are given. including a simulation of waveguides.

Place, publisher, year, edition, pages
2002. Vol. 178, no 2, 373-390 p.
Keyword [en]
wave equation, eikonal equation, geometrical optics, segment projection method, finite-difference calculation, geometrical-optics, computation, equations, fronts
National Category
Computer and Information Science
URN: urn:nbn:se:kth:diva-21546DOI: 10.1006/jcph.2002.7033ISI: 000175596000006OAI: diva2:340244
QC 20100525Available from: 2010-08-10 Created: 2010-08-10 Last updated: 2012-02-26Bibliographically approved

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Engquist, BjörnRunborg, OlofTornberg, Anna Karin
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