Simulation of laser beam propagation with a paraxial model in a tilted frame

Authors:
Marie Doumic;Frédéric Duboc;François Golse;Rémi Sentis
Affiliations:
I.N.R.I.A Rocquencourt, BANG Project, Domaine de Voluceau, B.P. 105, 78153 Rocquencourt, France;CEA, DAM, DIF, Bruyères, 91297 Arpajon Cedex, France;Ecole Polytechnique, Centre de Mathématiques Laurent Schwartz, 91128 Palaiseau Cedex, France;CEA, DAM, DIF, Bruyères, 91297 Arpajon Cedex, France
Venue:
Journal of Computational Physics
Year:
2009

Citing 2
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Abstract

We study the Schrodinger equation which comes from the paraxial approximation of the Helmholtz equation in the case where the direction of propagation is tilted with respect to the boundary of the domain. In a first part, a mathematical analysis is made which leads to an analytical formula of the solution in the simple case where the refraction index and the absorption coefficients are constant. Afterwards, we propose a numerical method for solving the initial problem which uses the previous analytical expression. Numerical results are presented. We also sketch an extension to a time dependent model which is relevant for laser-plasma interaction.