An efficient scattering algorithm for smooth and sharp surfaces: Coiflet-based scalar MFIE

George Pan, Ming Jin, Lisha Zhang, Ming Bai, Jungang Miao

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

We present a scattering algorithm using the magnetic-field integral equation (MFIE). The MFIE is a second kind integral equation and is well posed, rendering good condition number and fast convergence of the iteration solver. Nonetheless, the MFIE is derived assuming smooth surface, while the RWG discretizes a smooth curved surface into triangular facets with nonsmooth edges. This inconsistency greatly degrades the MFIE performance. In contrast, Coiflets are highly regular and completely differentiable. As a high-order function, the Coiflet basis conforms to the geometry in expansion, and it is dually used in conformal testing, preserving all merits of the MFIE. Due to its high-precision one-point quadrature (OPQ), the Coiflet algorithm results in O(N) for smooth surfaces up to 1800 λ2 and begins trend of O(N log N) when surface increases to 3200 λ2. Numerical results are compared with the RWG-MLFMA-based commercial software, FEKO, and the Mie theory. Good agreement has been observed.

Original languageEnglish (US)
Article number6813596
Pages (from-to)4241-4250
Number of pages10
JournalIEEE Transactions on Antennas and Propagation
Volume62
Issue number8
DOIs
StatePublished - Aug 2014

Keywords

  • Coifman wavelets
  • EFIE
  • Galerkin procedure
  • MFIE
  • fast wavelet transform
  • scattering

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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