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On the construction and analysis of absorbing layers in CEM. (English) Zbl 0924.35160
Summary: A recently introduced system of partial differential equations, based on physical considerations, which describes the behavior of electro-magnetic waves in artificial absorbing layers, is analyzed. Analytic solutions are found, for the cases of semi-infinite layers and finite depth layers, both for primitive and characteristic boundary conditions.
A different set of equations that seem to offer some advantages is proposed in this paper. The properties of its solutions for the same geometries and boundary condition are also discussed.

35Q60 PDEs in connection with optics and electromagnetic theory
65Z05 Applications to the sciences
78A40 Waves and radiation in optics and electromagnetic theory
Full Text: DOI
[1] Abarbanel, S.; Gottlieb, D., A mathematical analysis of the PML method, J. comput. phys., 134, 357-363, (1997) · Zbl 0887.65122
[2] Berenger, J.-P., A perfectly matched layer for the absorption of electromagnetic waves, J. comput. phys., 114, 185-200, (1994) · Zbl 0814.65129
[3] Breuer, S.; Gottlieb, D., The reduction of linear ordinary differential equations with constant coefficients, J. math. anal. appl., 32, 62-76, (1970) · Zbl 0177.11701
[4] P.G. Petropoulos, L. Zhao and A.C. Cangellaris, A reflectionless sponge layer absorbing boundary condition for the solution of Maxwell’s equations with high-order staggered finite difference schemes, J. Comput. Phys., to appear. · Zbl 0915.65123
[5] Zhao, L.; Cangellaris, A.C., A general approach for the development of unsplit field time domain implementations of perfectly matched layers for FDTD grid truncation, IEEE microwave and guided wave letters, 6, 209-211, (1996)
[6] Ziolkowski, R., Time-derivative Lorentz-material model-based absorbing boundary condition, IEEE trans. antennas propagation, 45, 1530-1535, (1997)
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