Orthogonal bases of smooth local cosines for EM scattering

Youri Tretiakov, Mikhail Toupikov, George Pan

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The Smooth Local Trigonometric (SLT) functions are alternatives to traditional wavelets. The SLT system is more general than the wavelet packet bases, which can only divide the subdomain into dyadic intervals. Employing the SLT as the basis and testing functions in the method of moments (MoM), sparse impedance matrices are obtained. The SLT system is particularly effective for electrically large scatterers, where the integral kernel behaves in a highly oscillatory manner. Numerical examples show good accuracy and efficiency in the solution of scattering of electromagnetic waves from 2D objects.

Original languageEnglish (US)
Title of host publicationICMMT 2000 - 2000 2nd International Conference on Microwave and Millimeter Wave Technology
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages395-398
Number of pages4
ISBN (Electronic)0780357434, 9780780357433
DOIs
StatePublished - 2000
Event2nd International Conference on Microwave and Millimeter Wave Technology, ICMMT 2000 - Beijing, China
Duration: Sep 14 2000Sep 16 2000

Other

Other2nd International Conference on Microwave and Millimeter Wave Technology, ICMMT 2000
CountryChina
CityBeijing
Period9/14/009/16/00

Keywords

  • Galerkin method
  • Scattering
  • Smooth local cosine
  • Wavelets

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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  • Cite this

    Tretiakov, Y., Toupikov, M., & Pan, G. (2000). Orthogonal bases of smooth local cosines for EM scattering. In ICMMT 2000 - 2000 2nd International Conference on Microwave and Millimeter Wave Technology (pp. 395-398). [895704] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICMMT.2000.895704