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

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

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

Published online: 2011-09

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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.

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@Article{CiCP-9-406, author = {E. Lorin, S. Chelkowski and A. D. Bandrauk}, title = {The WASP Model: A Micro-macro System of Wave-Schrödinger-plasma Equations for Filamentation}, journal = {Communications in Computational Physics}, year = {2011}, volume = {9}, number = {2}, pages = {406--440}, 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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.071009.300410a}, url = {http://global-sci.org/intro/article_detail/cicp/7505.html} }
TY - JOUR T1 - The WASP Model: A Micro-macro System of Wave-Schrödinger-plasma Equations for Filamentation AU - E. Lorin, S. Chelkowski & A. D. Bandrauk JO - Communications in Computational Physics VL - 2 SP - 406 EP - 440 PY - 2011 DA - 2011/09 SN - 9 DO - http://dor.org/10.4208/cicp.071009.300410a UR - https://global-sci.org/intro/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-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.

E. Lorin, S. Chelkowski & A. D. Bandrauk. (1970). The WASP Model: A Micro-macro System of Wave-Schrödinger-plasma Equations for Filamentation. Communications in Computational Physics. 9 (2). 406-440. doi:10.4208/cicp.071009.300410a
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