On the construction and analysis of absorbing layers in CEM.

*(English)*Zbl 0924.35160Summary: 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.

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.

##### MSC:

35Q60 | PDEs in connection with optics and electromagnetic theory |

65Z05 | Applications to the sciences |

78A40 | Waves and radiation in optics and electromagnetic theory |

##### Keywords:

Maxwell’s equations; analytic solutions; electro-magnetic waves in artificial absorbing layers; semi-infinite layers
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\textit{S. Abarbanel} and \textit{D. Gottlieb}, Appl. Numer. Math. 27, No. 4, 331--340 (1998; Zbl 0924.35160)

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##### References:

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