A geometric optics method for high-frequency electromagnetic fields computations near fold caustics. II: The energy
type: Item
instance of: scholarly article
title: A geometric optics method for high-frequency electromagnetic fields computations near fold caustics. II: The energy
zbMATH Open document ID: 1054.78003
author: Jean-David Benamou
author: Olivier Lafitte
author: Ian Solliec
author: R. Sentis
published in: Journal of Computational and Applied Mathematics
publication date: 2004-08-16T00:00:00Z
review text: The paper presents an Eulerian numerical method for the simulation of the propagation of a laser wave in a material medium. The authors provide the computation of the amplitudes needed to evaluate the energy deposited by the laser wave in a plasma when a fold caustic forms. This paper is entirely in the scheme of geometric optics. They compute the caustic location, the phases associated to the two ray branches on its illuminated side and the amplitudes needed to evaluate the energy. They propose a new scheme which remains of order 1 at the caustic and present a partial theoretical analysis of the problem as well as a numerical validation. They also test the capability of their Eulerian geometric algorithm to produce a numerical solution of the Helmholtz equation and attempt to check their frequency asymptotic accuracy. For Part I, cf. ibid. 156, No. 1, 93--125 (2003; Zbl 1027.78011).
Mathematics Subject Classification ID: 78A05
Mathematics Subject Classification ID: 70S05
Mathematics Subject Classification ID: 78M25
zbMATH DE Number: 2091372
zbMATH Keywords: wave propagation
zbMATH Keywords: geometric optics
zbMATH Keywords: caustics
zbMATH Keywords: Eulerian method
zbMATH Keywords: transport equation
zbMATH Keywords: Helmholtz equation
reviewed by: Stanisław Janeczko
MaRDI profile type: Publication
full work available at URL: j.cam.2003.09.046
OpenAlex ID: W2017894066
cites work: Q3661894
cites work: Direct computation of multivalued phase space solutions for Hamilton-Jacobi equations
cites work: A geometrical optics-based numerical method for high frequency electromagnetic fields computations near fold caustics. I
cites work: Q3994915
cites work: Contact discontinuity capturing schemes for linear advection and compressible gas dynamics
cites work: Oscillatory integrals, lagrange immersions and unfolding of singularities
cites work: Q3805195
cites work: Uniform asymptotic expansions at a caustic
DOI: 10.1016/J.CAM.2003.09.046
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description: scientific article; zbMATH DE number 2091372