Absorbing boundaries in numerical solutions of the time-dependent Schrödinger equation on a grid using exterior complex scaling

F. He, C. Ruiz, and A. Becker
Phys. Rev. A 75, 053407 – Published 10 May 2007

Abstract

We study the suppression of reflections in the numerical simulation of the time-dependent Schrödinger equation for strong-field problems on a grid using exterior complex scaling (ECS) as an absorbing boundary condition. It is shown that the ECS method can be applied in both the length and the velocity gauge as long as appropriate approximations are applied in the ECS transformation of the electron-field coupling. It is found that the ECS method improves the suppression of reflection as compared to the conventional masking function technique in typical simulations of atoms exposed to an intense laser pulse. Finally, we demonstrate the advantage of the ECS technique to avoid unphysical artifacts in the evaluation of high harmonic spectra.

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  • Received 7 September 2006

DOI:https://doi.org/10.1103/PhysRevA.75.053407

©2007 American Physical Society

Authors & Affiliations

F. He, C. Ruiz, and A. Becker

  • Max-Planck-Institut für Physik of komplexer Systeme, Nöthnitzer Str.38, D-01187 Dresden, Germany

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Issue

Vol. 75, Iss. 5 — May 2007

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