Accuracy of the method of moments for scattering by a cylinder

Karl F. Warnick; Weng Cho Chew

doi:10.1109/22.873892

Accuracy of the method of moments for scattering by a cylinder

Karl F. Warnick, Weng Cho Chew

Research output: Contribution to journal › Article › peer-review

Abstract

We study the accuracy and convergence of the method of moments for numerical scattering computations for an important benchmark geometry: the infinite circular cylinder. From the spectral decomposition of the electric-field integral equation for this scatterer, we determine the condition number of the moment matrix and the dependence of solution error on the choice of basis functions, discretization density, polarization of the incident field, and the numerical quadrature rule used to evaluate moment-matrix elements. The analysis is carried out for both the TM polarization (weakly singular kernel) and TE polarization (hypersingular kernel). These results provide insights into empirical observations of the convergence behavior of numerical methods in computational electromagnetics.

Original language	English (US)
Pages (from-to)	1652-1660
Number of pages	9
Journal	IEEE Transactions on Microwave Theory and Techniques
Volume	48
Issue number	10
DOIs	https://doi.org/10.1109/22.873892
State	Published - Oct 2000
Externally published	Yes

ASJC Scopus subject areas

Radiation
Condensed Matter Physics
Electrical and Electronic Engineering

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10.1109/22.873892

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abstract = "We study the accuracy and convergence of the method of moments for numerical scattering computations for an important benchmark geometry: the infinite circular cylinder. From the spectral decomposition of the electric-field integral equation for this scatterer, we determine the condition number of the moment matrix and the dependence of solution error on the choice of basis functions, discretization density, polarization of the incident field, and the numerical quadrature rule used to evaluate moment-matrix elements. The analysis is carried out for both the TM polarization (weakly singular kernel) and TE polarization (hypersingular kernel). These results provide insights into empirical observations of the convergence behavior of numerical methods in computational electromagnetics.",

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N2 - We study the accuracy and convergence of the method of moments for numerical scattering computations for an important benchmark geometry: the infinite circular cylinder. From the spectral decomposition of the electric-field integral equation for this scatterer, we determine the condition number of the moment matrix and the dependence of solution error on the choice of basis functions, discretization density, polarization of the incident field, and the numerical quadrature rule used to evaluate moment-matrix elements. The analysis is carried out for both the TM polarization (weakly singular kernel) and TE polarization (hypersingular kernel). These results provide insights into empirical observations of the convergence behavior of numerical methods in computational electromagnetics.

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Accuracy of the method of moments for scattering by a cylinder

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