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

Journal Article · Thu Feb 19 23:00:00 EST 2009 · Journal of Computational Physics

DOI:https://doi.org/10.1016/j.jcp.2008.10.009· OSTI ID:21167749

Doumic, Marie ^[1]; Duboc, Frederic ^[2]; Golse, Francois ^[3]; Sentis, Remi ^[2]

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1. I.N.R.I.A Rocquencourt, BANG Project, Domaine de Voluceau, B.P. 105, 78153 Rocquencourt (France)
2. CEA, DAM, DIF, Bruyeres, 91297 Arpajon Cedex (France)
3. Ecole Polytechnique, Centre de Mathematiques Laurent Schwartz, 91128 Palaiseau Cedex (France)

We study the Schroedinger 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.

• OSTI ID: 21167749
• Journal Information: Journal of Computational Physics, Journal Name: Journal of Computational Physics Journal Issue: 3 Vol. 228; ISSN JCTPAH; ISSN 0021-9991
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ABSORPTION
APPROXIMATIONS
LASERS
MATHEMATICAL SOLUTIONS
REFRACTION
SCHROEDINGER EQUATION
SIMULATION
TIME DEPENDENCE