Linear-linear basis functions for MLFMA solutions of magnetic-field and combined-field integral equations

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Ergul O., Gurel L.

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, vol.55, no.4, pp.1103-1110, 2007 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 55 Issue: 4
  • Publication Date: 2007
  • Doi Number: 10.1109/tap.2007.893393
  • Journal Name: IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1103-1110
  • Keywords: basis functions, combined-field integral equation, magnetic-field integral equation, multilevel fast multipole algorithm, CONFORMING BASIS FUNCTIONS, ELECTROMAGNETIC SCATTERING, DISCRETIZATION
  • Middle East Technical University Affiliated: No

Abstract

We present the linear-linear (LL) basis functions to improve the accuracy of the magnetic-field integral equation (MFIE) and the combined-field integral equation (CFIE) for three-dimensional electromagnetic scattering problems involving closed conductors. We consider the solutions of relatively large scattering problems by employing the multilevel fast multipole algorithm. Accuracy problems of MFIE and CFIE arising from their implementations with the conventional Rao-Wilton-Glisson (RWG) basis functions can be mitigated by using the LL functions for discretization. This is achieved without increasing the computational requirements and with only minor modifications in the existing codes based on the RWG functions.