Numerical microlocal analysis of harmonic wavefields

Authors:
Jean-David Benamou;Francis Collino;Olof Runborg
Affiliations:
INRIA, B.P. 105, F-78153 Le Chesnay Cedex, France;INRIA, B.P. 105, F-78153 Le Chesnay Cedex, France;INRIA, B.P. 105, F-78153 Le Chesnay Cedex, France
Venue:
Journal of Computational Physics
Year:
2004

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Abstract

We present and test a numerical method which, given an analytical or numerical solution of the Helmholtz equation in a neighborhood of a fixed observation point and assuming that the geometrical optics approximation is relevant, determines at this point the number of crossing rays and computes their directions and associated complex amplitudes.