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Efficient finite element solution of low-frequency scattering problems via anisotropic metamaterial layers

2008-03-01
Ozgun, Ozlern
Kuzuoğlu, Mustafa
We introduce a new technique which remedies the drawbacks in the Finite Element solution of low-frequency electromagnetic scattering problems, through the usage of an anisotropic metamaterial layer which is designed by employing the coordinate transformation approach. The usual finite element method should utilize a "challenging" mesh generation scheme to accurately simulate the "small" objects in scattering problems; on the contrary, the proposed technique provides a considerable reduction in the number of unknowns, and requires a more convenient and simpler mesh structure inside the computational domain. The most interesting feature of the proposed method is its capability to handle arbitrarily shaped "small" scatterers by using a "single" mesh and by modifying only the constitutive parameters inside the matamaterial layer. We report some numerical results for two-dimensional electromagnetic scattering problems. (c) 2008 Wiley Periodicals, Inc.