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Advances in Radio Science An open-access journal of the U.R.S.I. Landesausschuss in der Bundesrepublik Deutschland e.V.
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Volume 9
Adv. Radio Sci., 9, 39–44, 2011
https://doi.org/10.5194/ars-9-39-2011
© Author(s) 2011. This work is distributed under
the Creative Commons Attribution 3.0 License.
Adv. Radio Sci., 9, 39–44, 2011
https://doi.org/10.5194/ars-9-39-2011
© Author(s) 2011. This work is distributed under
the Creative Commons Attribution 3.0 License.

  29 Jul 2011

29 Jul 2011

Modeling of field singularities at dielectric edges using grid based methods

C. Classen1, E. Gjonaj2, U. Römer2, R. Schuhmann1, and T. Weiland2 C. Classen et al.
  • 1University of Paderborn, Fachgebiet Theoretische Elektrotechnik, Germany
  • 2TU Darmstadt, Institut Theorie Elektromagnetischer Felder, Germany

Abstract. Electric field singularities at sharp metallic edges or at a dielectric contact line can be described analytically by asymptotic expressions. The a priori known form of the field distribution in the vicinity of these edges can be used to construct numerical methods with improved accuracy. This contribution focuses on a modified Finite Integration Technique and on a Discontinuous Galerkin Method with singular approximation functions. Both methods are able to handle field singularities at perfectly electric conducting as well as at dielectric edges. The numerical accuracy of these methods is investigated in a number of simulation examples including static and dynamic field problems.

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