Smooth local cosine based Galerkin method for scattering problems

George W. Pan, Youri V. Tretiakov, Barry Kent Gilbert

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

The smooth local trigonometric (SLT) functions are employed as the basis and testing functions in the Galerkin based method of moments (MoM), and sparse impedance matrices are obtained. The basic idea of SLT is to use smooth cutoff functions to split the function and to fold overlapping parts back into the intervals so that the orthogonality of the system is preserved. Moreover, by choosing the correct trigonometric basis, rapid convergence in the case of smooth functions is ensured. The SLT system is particularly suitable to handle electrically large scatterers, where the integral kernel behaves in a highly oscillatory manner. Numerical examples demonstrate the scattering of electromagnetic waves from two-dimensional objects with smooth contours as well as with sharp edges. A comparison of the new approach versus the traditional MoM and wavelet methods is provided.

Original languageEnglish (US)
Pages (from-to)1177-1184
Number of pages8
JournalIEEE Transactions on Antennas and Propagation
Volume51
Issue number6
DOIs
StatePublished - Jun 2003

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Galerkin methods
Scattering
Method of moments
Electromagnetic waves
Testing

Keywords

  • Method of moments (MoM)
  • Scattering coefficients
  • Smooth local cosine (SLC)
  • Wavelets

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Computer Networks and Communications

Cite this

Smooth local cosine based Galerkin method for scattering problems. / Pan, George W.; Tretiakov, Youri V.; Gilbert, Barry Kent.

In: IEEE Transactions on Antennas and Propagation, Vol. 51, No. 6, 06.2003, p. 1177-1184.

Research output: Contribution to journalArticle

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