We consider the theoretical description of intense laser pulses propagating through gases. Starting from a first-principles description of both the electromagnetic field and the electron motion within the gas atoms, we derive a hierarchy of reduced models. We obtain a parallel set of models, where the atomic electrons are treated classically on the one hand, and quantum-mechanically on the other. By working consistently in either a Lagrangian formulation or a Hamiltonian formulation, we ensure that our reduced models preserve the variational structure of the parent models. Taking advantage of the Hamiltonian formulation, we deduce a number of conserved quantities of the reduced models.
Publication Source (Journal or Book title)
Annals of Physics
Berman, S., Chandre, C., Dubois, J., Mauger, F., Perin, M., & Uzer, T. (2018). Variational formulation of classical and quantum models for intense laser pulse propagation. Annals of Physics, 399, 66-84. https://doi.org/10.1016/j.aop.2018.10.002