NDLI: Dispersive Waves and PML Performance for Large-Stencil Differencing in the Parabolic Equation

Content Provider	IEEE Xplore Digital Library
Author	Keefe, L.
Copyright Year	1963
Abstract	The discrete reflection/absorption performance of perfectly matched layer (PML) boundary conditions is a function of the field discretization scheme throughout the computational domain and the form of the complex coordinate extension that characterizes the PML region. Most previous work analyzing PML reflection performance has assumed use of low-order (second- or fourth-), small-stencil (three- or five-point) spatial discretizations whose dispersion is poor outside a narrow low-wavenumber band. Large-stencil differencing schemes, regardless of order, are easily created with physically realistic, wide-band dispersive characteristics, but the effect their adoption has on PML performance has not been analyzed previously. In the context of a semi-discrete approximation to the parabolic/paraxial equation, this work derives the analytic form of the discrete PML reflection coefficient for an arbitrary-order/arbitrary-stencil interior differencing scheme coupled to an arbitrary-order/arbitrary-stencil PML region. This result is then used to show that the absorption performance of the PML regions is largely insensitive to changes in interior differencing. As a consequence, the benefits of superior dispersion characteristics provided by use of large-stencil differencing in the interior physical domain can be had without incurring discrete reflection penalties at the PML.
Sponsorship	IEEE Antennas and Propagation Society
Starting Page	5268
Ending Page	5277
Page Count	10
File Size	1246496
File Format	PDF
ISSN	0018926X
Volume Number	60
Issue Number	11
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-11-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Equations Mathematical model Dispersion Boundary conditions Propagation Vectors Analytical models perfectly matched layer Absorbing boundary condition atmospheric propagation finite difference methods numerical dispersion parabolic wave equation
Content Type	Text
Resource Type	Article
Subject	Condensed Matter Physics Electrical and Electronic Engineering

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