Perfect absorption in Schrodinger-like problems using non-equidistant complex grids

JOURNAL OF COMPUTATIONAL PHYSICS

卷:333

Article

Weinmueller, Markus¹  Weinmueller, Michael¹  Rohland, Jonathan¹  Scrinzi, Armin¹ 

[1] Ludwig Maximilians Univ Munchen, Dept Phys, D-80333 Munich, Germany

关键词: Absorbing boundary condition;    Finite difference;    Non-equidistant grid;    Finite-element discrete variable representation;    Complex scaling;    Schrodinger equation;   

DOI  :  10.1016/j.jcp.2016.12.029

来源: Elsevier

【 摘 要 】

Two non-equidistant grid implementations of infinite range exterior complex scaling are introduced that allow for perfect absorption in the time dependent Schrodinger equation. Finite element discrete variables discretizations provide as efficient absorption as the corresponding finite elements discretizations. This finding is at variance with results reported in literature [L. Tao et al., Phys. Rev. A 48, 063419 (2009)]. For finite differences, a new class of generalized Q-point schemes for non-equidistant grids is derived. Convergence of absorption is exponential similar to Delta x(Q-1) and numerically robust. Local relative errors less than or similar to 10(-9) are achieved in a standard problem of strong-field ionization. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

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