On the Long-Time Behavior of Unsplit Perfectly Matched Layers
- 10 May 2004
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Antennas and Propagation
- Vol. 52 (5), 1335-1342
- https://doi.org/10.1109/tap.2004.827253
Abstract
This paper shows how to eliminate an undesirable long-time linear growth of the electromagnetic field in a class of unsplit perfectly matched layers (PML) typically used as absorbing boundary conditions in computational electromagnetics codes. For the new PML equations, we give energy arguments that show the fields in the layer are bounded by a time-independent constant, hence they are long-time stable. Numerical experiments confirm the elimination of the linear growth, and the long-time boundedness of the fields.This publication has 16 references indexed in Scilit:
- Application of the CFS PML to the absorption of evanescent waves in waveguidesIEEE Microwave and Wireless Components Letters, 2002
- On the analysis of Bérenger's Perfectly Matched Layers for Maxwell's equationsESAIM: Mathematical Modelling and Numerical Analysis, 2002
- Long Time Behavior of the Perfectly Matched Layer Equations in Computational ElectromagneticsJournal of Scientific Computing, 2002
- A Stable, Perfectly Matched Layer for Linearized Euler Equations in Unsplit Physical VariablesJournal of Computational Physics, 2001
- Stability characteristics of absorbing boundary conditions in microwave circuit simulationsIEEE Transactions on Antennas and Propagation, 2001
- Convolution PML (CPML): An efficient FDTD implementation of the CFS–PML for arbitrary mediaMicrowave and Optical Technology Letters, 2000
- Reflectionless Sponge Layers as Absorbing Boundary Conditions for the Numerical Solution of Maxwell Equations in Rectangular, Cylindrical, and Spherical CoordinatesSIAM Journal on Applied Mathematics, 2000
- An anisotropic perfectly matched layer-absorbing medium for the truncation of FDTD latticesIEEE Transactions on Antennas and Propagation, 1996
- Frequency dependence of the constitutive parameters of causal perfectly matched anisotropic absorbersIEEE Microwave and Guided Wave Letters, 1996
- Poynting's theorem for the finite‐difference–time‐domain methodMicrowave and Optical Technology Letters, 1995