Qprop-ND: A Nondipole Extension of the Qprop Package for Strong-Field Laser Physics
Haoyuan He, Zhao-Han Zhang, Karen Z. Hatsagortsyan, Christoph H. KeiteL
Abstract
The Qprop 3.0 package for the solution of the time-dependent Schrödinger equation for an electron in a laser field and atomic potential is extended to incorporate nondipole effects related to the laser wave propagation. The developed code can be used for the simulation of strong field atomic phenomena in the nondipole regime, such as above-threshold ionization, ionization stabilization in high-frequency laser fields, high-order harmonic generation, when the effects connected with the magnetic field are non-negligible or when the laser wavelength is comparable with the atomic size. Similar to the dipole Qprop the wave function is expanded in spherical harmonics, the time-propagation of the wave functions is performed using the Crank- Nicolson approach, and the photoelectron spectra are calculated employing the t-SURFF or i- SURFV methods. The validity and accuracy of the implementation are demonstrated through several illustrative examples.
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