An Eulerian numerical method for geometric optics

Free access article

Issue		ESAIM: Proc. Volume 11, 2002 Actes du 32ème Congrès d'Analyse Numérique : CANum 2000


Page(s)		13 - 40
DOI		http://dx.doi.org/10.1051/proc:2002028

ESAIM: Proc., 2002, Vol. 11, pp. 13-40
DOI: 10.1051/proc:2002028

An Eulerian numerical method for geometric optics

Jean-David Benamou

INRIA-Rocquencourt B.P. 105 F-78153 Le Chesnay Cedex, France

Abstract
The classical description for geometric optics is Lagrangian. It is possible to switch to an Eulerian representation but, in presence of caustics, the full Lagrangian solution cannot be computed using a Eulerian method. We present the mathematical background of the problem and several numerical tools developed to overcome this limitation.

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