TY - JOUR T1 - The WASP Model: A Micro-Macro System of Wave-Schrödinger-Plasma Equations for Filamentation JO - Communications in Computational Physics VL - 2 SP - 406 EP - 440 PY - 2011 DA - 2011/09 SN - 9 DO - http://doi.org/10.4208/cicp.071009.300410a UR - https://global-sci.org/intro/article_detail/cicp/7505.html KW - AB -

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.