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An Optimized Perfectly Matched Layer for the Schrödinger Equation

An Optimized Perfectly Matched Layer for the Schrödinger Equation
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Year:    2011

Communications in Computational Physics, Vol. 9 (2011), Iss. 1 : pp. 147–179

Abstract

We derive a perfectly matched layer (PML) for the Schrödinger equation using a modal ansatz. We derive approximate error formulas for the modeling error from the outer boundary of the PML and the error from the discretization in the layer and show how to choose layer parameters so that these errors are matched and optimal performance of the PML is obtained. Numerical computations in 1D and 2D demonstrate that the optimized PML works efficiently at a prescribed accuracy for the zero potential case, with a layer of width less than a third of the de Broglie wavelength corresponding to the dominating frequency.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.010909.010410a

Communications in Computational Physics, Vol. 9 (2011), Iss. 1 : pp. 147–179

Published online:    2011-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    33

Keywords:   

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