IEICE TRANSACTIONS on transactions
Numerical Analysis of Plane Wave Scattering by an Infinite Plane Grating Using Weighted Fourier Series
Summary :
This paper presents a numerical analysis for the plane wave scattering by an infinite plane grating. First, the induced surface currents on conducting strips are expanded in Fourier series with a weighting function corresponding to field singularities near edges of the strips. Second, all the boundary conditions are satisfied in Fourier spectral domain, which leads to infinite sets of algebraic equations. Since the field singularities have been taken into account, the final numerical results show very rapid convergences for the near fields as well as for the far fields. From numerical comparison of the present method with other various methods, it is found that the present method provides us precise values as for transmitted powers. Numerical calculations are also made for distributions of the surface currents.
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- IEICE TRANSACTIONS on transactions Vol.E69-E No.2 pp.132-138
- Publication Date
- 1986/02/25
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- PAPER
- Category
- Antenna and Propagation
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Kazunori UCHIDA, Takeaki NODA, Toshiaki MATSUNAGA, "Numerical Analysis of Plane Wave Scattering by an Infinite Plane Grating Using Weighted Fourier Series" in IEICE TRANSACTIONS on transactions,
vol. E69-E, no. 2, pp. 132-138, February 1986, doi: .
Abstract: This paper presents a numerical analysis for the plane wave scattering by an infinite plane grating. First, the induced surface currents on conducting strips are expanded in Fourier series with a weighting function corresponding to field singularities near edges of the strips. Second, all the boundary conditions are satisfied in Fourier spectral domain, which leads to infinite sets of algebraic equations. Since the field singularities have been taken into account, the final numerical results show very rapid convergences for the near fields as well as for the far fields. From numerical comparison of the present method with other various methods, it is found that the present method provides us precise values as for transmitted powers. Numerical calculations are also made for distributions of the surface currents.
URL: https://global.ieice.org/en_transactions/transactions/10.1587/e69-e_2_132/_p
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@ARTICLE{e69-e_2_132,
author={Kazunori UCHIDA, Takeaki NODA, Toshiaki MATSUNAGA, },
journal={IEICE TRANSACTIONS on transactions},
title={Numerical Analysis of Plane Wave Scattering by an Infinite Plane Grating Using Weighted Fourier Series},
year={1986},
volume={E69-E},
number={2},
pages={132-138},
abstract={This paper presents a numerical analysis for the plane wave scattering by an infinite plane grating. First, the induced surface currents on conducting strips are expanded in Fourier series with a weighting function corresponding to field singularities near edges of the strips. Second, all the boundary conditions are satisfied in Fourier spectral domain, which leads to infinite sets of algebraic equations. Since the field singularities have been taken into account, the final numerical results show very rapid convergences for the near fields as well as for the far fields. From numerical comparison of the present method with other various methods, it is found that the present method provides us precise values as for transmitted powers. Numerical calculations are also made for distributions of the surface currents.},
keywords={},
doi={},
ISSN={},
month={February},}
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TY - JOUR
TI - Numerical Analysis of Plane Wave Scattering by an Infinite Plane Grating Using Weighted Fourier Series
T2 - IEICE TRANSACTIONS on transactions
SP - 132
EP - 138
AU - Kazunori UCHIDA
AU - Takeaki NODA
AU - Toshiaki MATSUNAGA
PY - 1986
DO -
JO - IEICE TRANSACTIONS on transactions
SN -
VL - E69-E
IS - 2
JA - IEICE TRANSACTIONS on transactions
Y1 - February 1986
AB - This paper presents a numerical analysis for the plane wave scattering by an infinite plane grating. First, the induced surface currents on conducting strips are expanded in Fourier series with a weighting function corresponding to field singularities near edges of the strips. Second, all the boundary conditions are satisfied in Fourier spectral domain, which leads to infinite sets of algebraic equations. Since the field singularities have been taken into account, the final numerical results show very rapid convergences for the near fields as well as for the far fields. From numerical comparison of the present method with other various methods, it is found that the present method provides us precise values as for transmitted powers. Numerical calculations are also made for distributions of the surface currents.
ER -
English
