The use of curl-conforming basis functions for the magnetic-field integral equation

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Ergul O., Gurel L.

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, vol.54, no.7, pp.1917-1926, 2006 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 54 Issue: 7
  • Publication Date: 2006
  • Doi Number: 10.1109/tap.2006.877159
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1917-1926
  • Keywords: fast multipole method, integral equations, magnetic-field integral equation (MFIE), method of moments (MoM), H-FIELD, SCATTERING
  • Middle East Technical University Affiliated: No


Divergence-conforming Rao-Wilton-Glisson (RWG) functions are commonly used in integral-equation formulations to model the surface current distributions on planar triangulations. In this paper, a novel implementation of the magnetic-field integral equation (MFIE) employing the curl-conforming (n) over tilde x RWG basis and testing functions is introduced for improved current modelling. Implementation details are outlined in the contexts of the method of moments, the fast multipole method, and the multilevel fast multipole algorithm. Based on the examples of electromagnetic modelling of conducting scatterers, it is demonstrated that significant improvement in the accuracy of the MFIE can be obtained by using the curl-conforming (n) over tilde x RWG functions.