A geometrical optics-based numerical method for high frequency electromagnetic fields computations near fold caustics. I
type: Item
instance of: scholarly article
title: A geometrical optics-based numerical method for high frequency electromagnetic fields computations near fold caustics. I
zbMATH Open document ID: 1027.78011
DOI: 10.1016/S0377-0427(02)00907-X
published in: Journal of Computational and Applied Mathematics
publication date: 2003-07-29T00:00:00Z
review text: The authors deal with the propagation of a laser wave in a material medium. They present a new method for the direct Eulerian computation of the multivalued solution of the Hamilton-Jacobi equation in the case of a fold caustic. The authors show that the accuracy of the usual method degenerates near the caustic and provide a numerical formula to close the system while maintaining a first-order accuracy. Moreover, they give a systematic initialization procedure of the system when the Cauchy data are only available for the incident wave.
Mathematics Subject Classification ID: 78A60
Mathematics Subject Classification ID: 78A05
zbMATH DE Number: 1956161
zbMATH Keywords: Hamilton-Jacobi
zbMATH Keywords: Hamiltonian system
zbMATH Keywords: Ray tracing
zbMATH Keywords: Viscosity solution
zbMATH Keywords: Upwind scheme
zbMATH Keywords: Geometric optics
zbMATH Keywords: Wave equation
zbMATH Keywords: Laser
zbMATH Keywords: Plasma
zbMATH Keywords: Electromagnetism
author: Jean-David Benamou
author: Olivier Lafitte
author: R. Sentis
author: Ian Solliec
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
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full work available at URL: s0377-0427(02)00907-x
OpenAlex ID: W2033236026
description: scientific article; zbMATH DE number 1956161