Double absorbing boundaries for finite-difference time-domain electromagnetics

被引:9
作者
LaGrone, John [1 ]
Hagstrom, Thomas [1 ]
机构
[1] Southern Methodist Univ, Dept Math, POB 750156, Dallas, TX 75275 USA
关键词
Radiation boundary conditions; Maxwell's equations; Wave equation; Yee scheme; PERFECTLY MATCHED LAYERS; EVANESCENT WAVES; MAXWELLS EQUATIONS; PML; ABSORPTION; MEDIA;
D O I
10.1016/j.jcp.2016.09.014
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
We describe the implementation of optimal local radiation boundary condition sequences for second order finite difference approximations to Maxwell's equations and the scalar wave equation using the double absorbing boundary formulation. Numerical experiments are presented which demonstrate that the design accuracy of the boundary conditions is achieved and, for comparable effort, exceeds that of a convolution perfectly matched layer with reasonably chosen parameters. An advantage of the proposed approach is that parameters can be chosen using an accurate a priorierror bound. (C) 2016 Elsevier Inc. All rights reserved.
引用
收藏
页码:650 / 665
页数:16
相关论文
共 15 条
[1]  
[Anonymous], [No title captured]
[2]   An effective PML for the absorption of evanescent waves in waveguides [J].
Berenger, JP .
IEEE MICROWAVE AND GUIDED WAVE LETTERS, 1998, 8 (05) :188-190
[3]   A PERFECTLY MATCHED LAYER FOR THE ABSORPTION OF ELECTROMAGNETIC-WAVES [J].
BERENGER, JP .
JOURNAL OF COMPUTATIONAL PHYSICS, 1994, 114 (02) :185-200
[4]   A hybrid Hermite-discontinuous Galerkin method for hyperbolic systems with application to Maxwell's equations [J].
Chen, Xi ;
Appeloe, Daniel ;
Hagstrom, Thomas .
JOURNAL OF COMPUTATIONAL PHYSICS, 2014, 257 :501-520
[5]   Absorbing boundary conditions and perfectly matched layers - An analytic time-domain performance analysis [J].
de Hoop, AT ;
van den Berg, PM ;
Remis, RF .
IEEE TRANSACTIONS ON MAGNETICS, 2002, 38 (02) :657-660
[6]   A time domain analysis of PML models in acoustics [J].
Diaz, J. ;
Joly, P. .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2006, 195 (29-32) :3820-3853
[7]   Generalized perfectly matched layer for the absorption of propagating and evanescent waves in lossless and lossy media [J].
Fang, JY ;
Wu, ZH .
IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, 1996, 44 (12) :2216-2222
[8]   The Double Absorbing Boundary method [J].
Hagstrom, Thomas ;
Givoli, Dan ;
Rabinovich, Daniel ;
Bielak, Jacobo .
JOURNAL OF COMPUTATIONAL PHYSICS, 2014, 259 :220-241
[9]   HIGH-ORDER RADIATION BOUNDARY CONDITIONS FOR STRATIFIED MEDIA AND CURVILINEAR COORDINATES [J].
Hagstrom, Thomas .
JOURNAL OF COMPUTATIONAL ACOUSTICS, 2012, 20 (02)
[10]   COMPLETE RADIATION BOUNDARY CONDITIONS: MINIMIZING THE LONG TIME ERROR GROWTH OF LOCAL METHODS [J].
Hagstrom, Thomas ;
Warburton, Timothy .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2009, 47 (05) :3678-3704