The strong field approximation within a Faddeev-like formalism for laser-matter interactions

TL;DR

This paper introduces a Faddeev-like formalism within the strong-field approximation to improve the convergence of calculations for laser-atom interactions, demonstrated on hydrogen ionization spectra.

Contribution

A novel perturbative series in the binding potential using a Faddeev-like formalism within the strong-field approximation is proposed, showing faster convergence than standard methods.

Findings

The new series converges rapidly to TDSE results.

Application to hydrogen ionization with photon energy above ionization potential.

Demonstrates improved computational efficiency and accuracy.

Abstract

We consider the interaction of atomic hydrogen with an intense laser field within the strong-field approximation. By using a Faddeev-like formalism, we introduce a new perturbative series in the binding potential of the atom. As a first test of this new approach, we calculate the electron energy spectrum in the very simple case of a photon energy higher than the ionisation potential. We show that by contrast to the standard perturbative series in the binding potential obtained within the strong field approximation, the first terms of the new series converge rapidly towards the results we get by solving the corresponding time-dependent Schroedinger equation.