Coifman wavelets in electromagnetic wave scattering by a groove in a conducting plane

Youri Tretiakov, George Pan

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

Scattering ofelectromagnetic waves from a groove in an infinite conducting plane is studied using the Coifman wavelets (Coiflets) under the integral equation formulation. The induced current is expressed in terms ofthe known Kirchhoff solution plus a localized correction current in the vicinity ofthe groove. The Galerkin procedure is implemented, employing the Coiflets as expansion and testing functions to find the correction current numerically. Owing to the vanishing moments, the Coiflets lead to a one-point quadrature formula in O(h5), which reduces the computational effort in filling the impedance matrix entries. The resulting matrix is sparse, which is desirable for iterative algorithms. Numerical results show that the new method is 2 to 5 times faster than the pulse based method of moments.

Original languageEnglish (US)
Pages (from-to)1-20
Number of pages20
JournalProgress in Electromagnetics Research
Volume45
DOIs
StatePublished - 2004

Fingerprint

Electromagnetic wave scattering
electromagnetic scattering
wave scattering
grooves
electromagnetic radiation
conduction
Induced currents
Method of moments
Integral equations
method of moments
Scattering
matrices
entry
quadratures
integral equations
Testing
impedance
moments
formulations
expansion

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Radiation
  • Electrical and Electronic Engineering

Cite this

Coifman wavelets in electromagnetic wave scattering by a groove in a conducting plane. / Tretiakov, Youri; Pan, George.

In: Progress in Electromagnetics Research, Vol. 45, 2004, p. 1-20.

Research output: Contribution to journalArticle

@article{d6871989537243869a15f0c666ac7c32,
title = "Coifman wavelets in electromagnetic wave scattering by a groove in a conducting plane",
abstract = "Scattering ofelectromagnetic waves from a groove in an infinite conducting plane is studied using the Coifman wavelets (Coiflets) under the integral equation formulation. The induced current is expressed in terms ofthe known Kirchhoff solution plus a localized correction current in the vicinity ofthe groove. The Galerkin procedure is implemented, employing the Coiflets as expansion and testing functions to find the correction current numerically. Owing to the vanishing moments, the Coiflets lead to a one-point quadrature formula in O(h5), which reduces the computational effort in filling the impedance matrix entries. The resulting matrix is sparse, which is desirable for iterative algorithms. Numerical results show that the new method is 2 to 5 times faster than the pulse based method of moments.",
author = "Youri Tretiakov and George Pan",
year = "2004",
doi = "10.2528/PIER03091101",
language = "English (US)",
volume = "45",
pages = "1--20",
journal = "Progress in Electromagnetics Research",
issn = "1070-4698",
publisher = "Electromagnetics Academy",

}

TY - JOUR

T1 - Coifman wavelets in electromagnetic wave scattering by a groove in a conducting plane

AU - Tretiakov, Youri

AU - Pan, George

PY - 2004

Y1 - 2004

N2 - Scattering ofelectromagnetic waves from a groove in an infinite conducting plane is studied using the Coifman wavelets (Coiflets) under the integral equation formulation. The induced current is expressed in terms ofthe known Kirchhoff solution plus a localized correction current in the vicinity ofthe groove. The Galerkin procedure is implemented, employing the Coiflets as expansion and testing functions to find the correction current numerically. Owing to the vanishing moments, the Coiflets lead to a one-point quadrature formula in O(h5), which reduces the computational effort in filling the impedance matrix entries. The resulting matrix is sparse, which is desirable for iterative algorithms. Numerical results show that the new method is 2 to 5 times faster than the pulse based method of moments.

AB - Scattering ofelectromagnetic waves from a groove in an infinite conducting plane is studied using the Coifman wavelets (Coiflets) under the integral equation formulation. The induced current is expressed in terms ofthe known Kirchhoff solution plus a localized correction current in the vicinity ofthe groove. The Galerkin procedure is implemented, employing the Coiflets as expansion and testing functions to find the correction current numerically. Owing to the vanishing moments, the Coiflets lead to a one-point quadrature formula in O(h5), which reduces the computational effort in filling the impedance matrix entries. The resulting matrix is sparse, which is desirable for iterative algorithms. Numerical results show that the new method is 2 to 5 times faster than the pulse based method of moments.

UR - http://www.scopus.com/inward/record.url?scp=79958752912&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79958752912&partnerID=8YFLogxK

U2 - 10.2528/PIER03091101

DO - 10.2528/PIER03091101

M3 - Article

AN - SCOPUS:79958752912

VL - 45

SP - 1

EP - 20

JO - Progress in Electromagnetics Research

JF - Progress in Electromagnetics Research

SN - 1070-4698

ER -