Augmented EFIE with Normally Constrained Magnetic Field and Static Charge Extraction

Jin Cheng, Robert J. Adams, John C. Young, Michael A. Khayat

Research output: Contribution to journalArticlepeer-review

20 Scopus citations


A new surface integral equation formulation for scattering from perfectly conducting objects is presented. The formulation is developed by adding a constraint on the normal component of the magnetic field to the augmented electric field integral equation (AEFIE) and extracting the static charge solution. The resulting AEFIEnH-S formulation is discretized using the method of moments with Rao-Wilton-Glisson (RWG) source functions and Buffa-Christiansen (BC) test functions. An iterative diagonal matrix scaling algorithm is used to improve the conditioning of the discrete system. Numerical examples demonstrate that the AEFIEnH-S is stable and accurate as the frequency is reduced for closed, open, and multiscale multiply connected geometries. The formulation relies only on diagonal preconditioning, it accurately models the near electric, near magnetic, and far fields, it does not require frequency scaling of the unknowns, and it does not incorporate any type of Helmholtz decomposition.

Original languageEnglish
Article number7268849
Pages (from-to)4952-4963
Number of pages12
JournalIEEE Transactions on Antennas and Propagation
Issue number11
StatePublished - Nov 1 2015

Bibliographical note

Publisher Copyright:
© 2015 IEEE.


  • Electric field integral equation
  • low frequency
  • method of moments
  • multiscale
  • numerical stability

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


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