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Suppression of reflection from the grid boundary in solving the time-dependent Schroedinger equation by split-step technique with fast Fourier transform

2006/07/12 by Arkady Gonoskov, A. A. Gonoskov, Gonoskov, A. A. +3
Earth and Planetary Sciences · Engineering · Physics and Astronomy · #Atomic Physics (physics.atom-ph) #Electromagnetic Scattering and Analysis #Electromagnetic Simulation and Numerical Methods #FOS: Physical sciences #Meteorological Phenomena and Simulations #Optics (physics.optics) #physics.atom-ph #physics.optics

paper · pdf · doi:10.48550/arxiv.physics/0607120

4 pages, 3 figures

arxiv created 2006/07/12 · openalex publication_date 2006/07/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present an approach to numerically solving the time-dependent Schroedinger equation and other parabolic equations by the split-step technique with fast Fourier transform, which suppresses the backreflection of waves from the grid boundaries with any specified accuracy. Most importantly, all known methods work well only for a narrow region of incident waves spectrum, and the proposed method provides absorption of any wave whose length is large enough in comparison with the size of absorption region.

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