Calderón preconditioner: From eFIE and MFIE to n-mller equations

Su Yan, Jian Ming Jin, Zaiping Nie

Research output: Contribution to journalArticlepeer-review


The N-Mller equations for scattering by a dielectric object are derived by preconditioning the electric-field integral equations (EFIE) and the magnetic-field integral equations (MFIE) with Caldern preconditioners. By employing the Caldern relation and the Caldern identities, it is shown that the sum of the preconditioned EFIE and MFIE equations yields the N-Mller equations, which explains the good spectrum property of the N-Mller equations from a different aspect. The N-Mller equations are discretized and solved by using the n̂× Buffa-Christiansen (BC) functions as testing functions, which avoids the appearance of the contour integral. It is demonstrated that the proposed solution of the N-Mller equations has a fast convergence and an excellent accuracy and is free of internal resonance corruption.

Original languageEnglish (US)
Article number5582263
Pages (from-to)4105-4110
Number of pages6
JournalIEEE Transactions on Antennas and Propagation
Issue number12
StatePublished - Dec 2010


  • Calderón preconditioners
  • EFIE equations
  • MFIE equations
  • N-Mller equations
  • dielectric object
  • electromagnetic scattering

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


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