A geometrical optics-based numerical method for high frequency electromagnetic fields computations near fold caustics--Part I

Authors:
J.-D. Benamou;O. Lafitte;R. Sentis;I. Solliec
Affiliations:
INRIA, B.P. 105, F-78153, Le Chesnay Cedex, France;Département de Mathématiques, Université Paris 13, Av. J.-B. Clement 99, 93430 Villetaneuse, France;CEA-DCSA, 91680 Bruyères-le-Châtel, France;INRIA, B.P. 105, F-78153, Le Chesnay Cedex, France
Venue:
Journal of Computational and Applied Mathematics
Year:
2003

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Abstract

This paper presents an Eulerian numerical method for the computation of a bi-valued solution of Hamilton-Jacobi type equation in a particular geometric setting. More precisely we consider high frequency electromagnetic fields in the vicinity of fold caustics.