A piecewise integration conformal method for electromagnetic scattering problems

Shan Wei Lv; Ke Long Zhen; Yan Zhang; Ning Ning Zhang; Fu Ling Zhao

A piecewise integration conformal method for electromagnetic scattering problems

Shan Wei Lv
, Ke Long Zhen^*
, Yan Zhang
, Ning Ning Zhang
, Fu Ling Zhao

^*Corresponding author for this work

School of Electronic and Information Engineering

Beihang University
China Research Institute of Radiowave Propagation

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

1 Scopus citations

Abstract

A piecewise integration conformal finite difference time domain(PI-CFDTD)method is presented and applied for solving the electromagnetic scattering problems. The electric field component along the contour segment is expressed by the interpolation of the nearest ones. To compute electric-field contour-integral value more accurately, the piecewise-integration method is used instead of the common integration. Therefore, the staircasing errors can be reduced significantly. The electric-field contour-integral formula is derived for two kinds of deformed cells, respectively. Furthermore, the numerical stability is discussed. Finally, a metal square plate and a metal circular plate are simulated as examples. The results are compared with those of the conventional FDTD method CFDTD method and the MoM. It is found that the PI-CFDTD method is more accurate than the conventional CFDTD method.

Original language	English
Pages (from-to)	1165-1169
Number of pages	5
Journal	Dianbo Kexue Xuebao/Chinese Journal of Radio Science
Volume	26
Issue number	6
State	Published - Dec 2011

Keywords

Conformal
Piecewise integration
Scattering

Cite this

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title = "A piecewise integration conformal method for electromagnetic scattering problems",

abstract = "A piecewise integration conformal finite difference time domain(PI-CFDTD)method is presented and applied for solving the electromagnetic scattering problems. The electric field component along the contour segment is expressed by the interpolation of the nearest ones. To compute electric-field contour-integral value more accurately, the piecewise-integration method is used instead of the common integration. Therefore, the staircasing errors can be reduced significantly. The electric-field contour-integral formula is derived for two kinds of deformed cells, respectively. Furthermore, the numerical stability is discussed. Finally, a metal square plate and a metal circular plate are simulated as examples. The results are compared with those of the conventional FDTD method CFDTD method and the MoM. It is found that the PI-CFDTD method is more accurate than the conventional CFDTD method.",

keywords = "Conformal, Piecewise integration, Scattering",

author = "Lv, \{Shan Wei\} and Zhen, \{Ke Long\} and Yan Zhang and Zhang, \{Ning Ning\} and Zhao, \{Fu Ling\}",

year = "2011",

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pages = "1165--1169",

journal = "Dianbo Kexue Xuebao/Chinese Journal of Radio Science",

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TY - JOUR

T1 - A piecewise integration conformal method for electromagnetic scattering problems

AU - Lv, Shan Wei

AU - Zhen, Ke Long

AU - Zhang, Yan

AU - Zhang, Ning Ning

AU - Zhao, Fu Ling

PY - 2011/12

Y1 - 2011/12

N2 - A piecewise integration conformal finite difference time domain(PI-CFDTD)method is presented and applied for solving the electromagnetic scattering problems. The electric field component along the contour segment is expressed by the interpolation of the nearest ones. To compute electric-field contour-integral value more accurately, the piecewise-integration method is used instead of the common integration. Therefore, the staircasing errors can be reduced significantly. The electric-field contour-integral formula is derived for two kinds of deformed cells, respectively. Furthermore, the numerical stability is discussed. Finally, a metal square plate and a metal circular plate are simulated as examples. The results are compared with those of the conventional FDTD method CFDTD method and the MoM. It is found that the PI-CFDTD method is more accurate than the conventional CFDTD method.

AB - A piecewise integration conformal finite difference time domain(PI-CFDTD)method is presented and applied for solving the electromagnetic scattering problems. The electric field component along the contour segment is expressed by the interpolation of the nearest ones. To compute electric-field contour-integral value more accurately, the piecewise-integration method is used instead of the common integration. Therefore, the staircasing errors can be reduced significantly. The electric-field contour-integral formula is derived for two kinds of deformed cells, respectively. Furthermore, the numerical stability is discussed. Finally, a metal square plate and a metal circular plate are simulated as examples. The results are compared with those of the conventional FDTD method CFDTD method and the MoM. It is found that the PI-CFDTD method is more accurate than the conventional CFDTD method.

KW - Conformal

KW - Piecewise integration

KW - Scattering

UR - https://www.scopus.com/pages/publications/84863049289

M3 - 文章

AN - SCOPUS:84863049289

SN - 1005-0388

VL - 26

SP - 1165

EP - 1169

JO - Dianbo Kexue Xuebao/Chinese Journal of Radio Science

JF - Dianbo Kexue Xuebao/Chinese Journal of Radio Science

IS - 6

ER -

A piecewise integration conformal method for electromagnetic scattering problems

Abstract

Keywords

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