Volume 9, Issue 2
The WASP Model: A Micro-macro System of Wave-Schrödinger-plasma Equations for Filamentation

E. Lorin ,  S. Chelkowski and A. D. Bandrauk

10.4208/cicp.071009.300410a

Commun. Comput. Phys., 9 (2011), pp. 406-440.

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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-Schr ¨odinger 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.

  • History

Published online: 2011-09

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