摘要
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.
