Efficient and accurate numerical modeling of a micro–macro nonlinear optics model for intense and short laser pulses

In this work we are interested in the fast simulation of ultrashort and intense laser pulses propagating in macroscopic nonlinear media. In this goal, we consider the numerical micro–macro Maxwell–Schrödinger-Plasma model originally presented by Lorin et al. [9] and [10]. Although this model is, in theory, applicable to large domains, due to its computational complexity, only short distances of propagation could be considered (less than 1 mm so far, see [9]). In the present paper, we explore some simple, but fast and accurate techniques allowing to reduce the computational complexity by a large factor (up to 60) and then to consider larger domains. This reduction is naturally essential to make this model relevant to study realistic laser–matter interactions at a macroscopic scale. Numerical simulations are proposed to illustrate the chosen approach.

► In this work we are interested in the fast simulation of ultrashort and intense laser pulses propagating in macroscopic nonlinear media. ► In this goal, we use the micro–macro Maxwell–Schrödinger-Plasma model originally presented in [10] and [9]. ► Although this model is, in theory, applicable to large domains, due to its computational complexity, only short distances of propagation could be considered (less than 1 mm so far, see [9] and [12]). ► In the present paper, we explore some simple, but fast and accurate techniques allowing to consider much larger (50–100 times larger) domains. ► This question is naturally essential to make this model relevant to study realistic laser–matter interactions at a macroscopic scale. ► Numerical simulations are proposed to illustrate the chosen approach.