TY - JOUR
T1 - An Optimized Perfectly Matched Layer for the Schrödinger Equation
AU - Anna Nissen & Gunilla Kreiss
JO - Communications in Computational Physics
VL - 1
SP - 147
EP - 179
PY - 2011
DA - 2011/09
SN - 9
DO - http://doi.org/10.4208/cicp.010909.010410a
UR - https://global-sci.org/intro/article_detail/cicp/7495.html
KW - 
AB - <p style="text-align: justify;">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.</p>