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The WASP Model: A Micro-Macro System of Wave-Schrödinger-Plasma Equations for Filamentation

Published online by Cambridge University Press:  20 August 2015

E. Lorin ,
S. Chelkowski  and
A. D. Bandrauk
E. Lorin*
Affiliation:
School of Mathematics and Statistics, Carleton University, Ottawa, K1S 5B6, Canada
S. Chelkowski*
Affiliation:
Laboratoire de Chimie Théorique, Faculté des Sciences, Université de Sherbrooke, Sherbrooke, J1K 2R1, Canada
A. D. Bandrauk*
Affiliation:
Laboratoire de Chimie Théorique, Faculté des Sciences, Université de Sherbrooke, Sherbrooke, J1K 2R1, Canada
*
Corresponding author.Email:elorin@math.carleton.ca
Email:stephane.chelkowski@USherbrooke.ca
Email:Andre.Bandrauk@USherbrooke.ca
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Abstract

In this paper, we model laser-gas interactions and propagation in some extreme regimes. After a mathematical study of a micro-macro Maxwell-Schrödinger model [1] for short, high-frequency and intense laser-gas interactions, we propose to improve this model by adding a plasma equation in order to precisely take into account free electron effects. We examine if such a model can predict and explain complex structures such as filaments, on a physical and numerical basis. In particular, we present in this paper a first numerical observation of nonlinear focusing effects using an ab-initio gas representation and linking our results with existing nonlinear models.

Keywords

35M1078A6065Z05Maxwell equationsSchrödinger equationlaser-gas interactionfilamentationquantum nonlinear optics
Type
Research Article
Information
Communications in Computational Physics , Volume 9 , Issue 2 , February 2011 , pp. 406 - 440
Copyright
Copyright © Global Science Press Limited 2011

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References

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