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

Fingerprint

Scattering
Method of moments
Electromagnetic waves
Testing

Keywords

  • Galerkin method
  • Scattering
  • Smooth local cosine
  • Wavelets

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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

Orthogonal bases of smooth local cosines for EM scattering. / Tretiakov, Youri; Toupikov, Mikhail; Pan, George.

ICMMT 2000 - 2000 2nd International Conference on Microwave and Millimeter Wave Technology. Institute of Electrical and Electronics Engineers Inc., 2000. p. 395-398 895704.

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

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., 895704, Institute of Electrical and Electronics Engineers Inc., pp. 395-398, 2nd International Conference on Microwave and Millimeter Wave Technology, ICMMT 2000, Beijing, China, 9/14/00. https://doi.org/10.1109/ICMMT.2000.895704
Tretiakov Y, Toupikov M, Pan G. Orthogonal bases of smooth local cosines for EM scattering. In ICMMT 2000 - 2000 2nd International Conference on Microwave and Millimeter Wave Technology. Institute of Electrical and Electronics Engineers Inc. 2000. p. 395-398. 895704 https://doi.org/10.1109/ICMMT.2000.895704
Tretiakov, Youri ; Toupikov, Mikhail ; Pan, George. / Orthogonal bases of smooth local cosines for EM scattering. ICMMT 2000 - 2000 2nd International Conference on Microwave and Millimeter Wave Technology. Institute of Electrical and Electronics Engineers Inc., 2000. pp. 395-398
@inproceedings{05855f2f6a1c4f909251f353f3d6456d,
title = "Orthogonal bases of smooth local cosines for EM scattering",
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.",
keywords = "Galerkin method, Scattering, Smooth local cosine, Wavelets",
author = "Youri Tretiakov and Mikhail Toupikov and George Pan",
year = "2000",
doi = "10.1109/ICMMT.2000.895704",
language = "English (US)",
pages = "395--398",
booktitle = "ICMMT 2000 - 2000 2nd International Conference on Microwave and Millimeter Wave Technology",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
address = "United States",

}

TY - GEN

T1 - Orthogonal bases of smooth local cosines for EM scattering

AU - Tretiakov, Youri

AU - Toupikov, Mikhail

AU - Pan, George

PY - 2000

Y1 - 2000

N2 - 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.

AB - 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.

KW - Galerkin method

KW - Scattering

KW - Smooth local cosine

KW - Wavelets

UR - http://www.scopus.com/inward/record.url?scp=84952776789&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84952776789&partnerID=8YFLogxK

U2 - 10.1109/ICMMT.2000.895704

DO - 10.1109/ICMMT.2000.895704

M3 - Conference contribution

AN - SCOPUS:84952776789

SP - 395

EP - 398

BT - ICMMT 2000 - 2000 2nd International Conference on Microwave and Millimeter Wave Technology

PB - Institute of Electrical and Electronics Engineers Inc.

ER -