Nondipole effects in helium ionization by intense soft x-ray laser pulses

Abstract

We consider the helium atom exposed to laser pulses in soft-x regime at intensities of the order of 10 17 − 10 20 W/cm 2. Two cases are investigated, first a pulse with a central frequency of 20 a.u. (∼ 544.2 eV) and a pulse with a central frequeny of 50 a.u. (∼ 1.36 keV). We solve the time-dependent Schrödinger equation (TDSE), nondipole (retardation) effects are included up to O(1/c) (c being the velocity of light). We study the single photoionization of helium with a focus on nondipole effects. We calculate the total and partial photoelectron energy spectra, and the photoelectron angular distributions. The nondipole effects associated with the A • P and A 2 coupling terms in the Hamiltonian (A denoting the vector potential of the field and P the momentum operator) are thoroughly analyzed in the region of one-photon resonance. We show that the nondipole contribution associated with A • P varies linearly with the intensity I while a three-photon transition involving A 2 increases like I 3 , in agreement with lowest order perturbation theory (LOPT). At high intensities these contributions compete and the nondipole transition becomes nonlinear. The physical mechanisms associated with nondipole couplings are discussed, as well as their effects on photoelectron energy and angular distributions. PACS. PACS-key discribing text of that key-PACS-key discribing text of that key

Photon Momentum Transfer in Single-Photon Double Ionization of Helium

“…The VG form of the Hamiltonian is obtained from the minimalcoupling Hamiltonian expanded to the first order with the removal of the A 2 ðtÞ term [28]. The VG form of the Hamiltonian has been applied in simulations for hydrogen [32] and for helium [33] with high intensities at 10 17 -10 20 W cm 2 . In our calculations, the light is assumed to propagate along the z axis.…”