Implementation of fictitious absorbing layers with deceleration effects for one-dimensional Schrödinger equations
Keyword(s):
Absorbing boundary conditions or layers are used in simulations to reduce or eliminate wave reflections from the boundary; one of the most widely used absorbing layers is Berenger's perfectly matched layer (PML). In this paper, PML is extended to a compound absorbing layer which has multiple effects of damping and deceleration, and is applied to linear and nonlinear Schrödinger equations. The deceleration extends the time to damp out the modes with higher phase velocities, leading to remarkably reduced total reflection for dispersive waves. By invoking the two effects independently, the flexibility and performance are enhanced. Since this method is based on the WKB formalism, it requires an absorbing layer of a moderate size.
2011 ◽
Vol 10
(5)
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pp. 1280-1304
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2006 ◽
Vol 104
(1)
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pp. 103-127
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2004 ◽
Vol 42
(4)
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pp. 1527-1551
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2017 ◽
Vol 35
(1)
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pp. 1-18
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2011 ◽
Vol 33
(2)
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pp. 1008-1033
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Absorbing boundary conditions for time-dependent Schrödinger equations: A density-matrix formulation
2019 ◽
Vol 150
(11)
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pp. 114111
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