Simulation of spatiotemporal light dynamics based on the time-dependent Schrödinger equation

Abstract

We establish a first-principle model for the simulation of spatiotemporal light pulse dynamics based on the combination of the time-dependent Schrödinger equation and the unidirectional propagation equation. The proposed numerical scheme enables computationally efficient simulation while being stable and accurate. We use the new model to examine self-focusing of a short pulse in atomic hydrogen and show that an accurate description of the excited-levels dynamics can only be achieved by a propagation model with an ab-initio description of the light-matter interaction, which accounts for the laser-dressed multilevel structure of the system, including bound and free states, and its sub-cycle response.

Macroscopic effects in generation of attosecond XUV pulses via high-order frequency mixing in gases and plasma

“…The scope of this paper is the detailed study of the macroscopic properties of the HFM response. We study the generation and propagation of the fields, calculating the polarization response via the numerical solution of the time-dependent Schrödinger equation (TDSE), thus taking into account the temporal variation of the phase matching and the nonlinear modification of the generating fields (this approach is applied to the solutions of other light-matter interactions in [32][33][34]). This allows us to find factors limiting the efficiency of the macroscopic response for the HFM process.…”