IEICE TRANSACTIONS on Electronics
Wave Scattering from a Finite Periodic Surface: Spectral Formalism for TE Wave
Summary :
This paper deals with the wave scattering from a periodic surface with finite extent. Modifying a spectral formalism, we find that the spectral amplitude of the scattered wave can be determined by the surface field on only the corrugated part of the surface. The surface field on such a corrugated part is then expanded into Fourier series with unknown Fourier coefficients. A matrix equation for the Fourier coefficients is obtained and is solved numerically for a sinusoidally corrugated surface. Then, the angular distribution of the scattering, the relative power of each diffraction beam and the optical theorem are calculated and illustrated in figures. Also, the relative powers of diffraction are calculated against the angle of incidence for a periodic surface with infinite extent. By comparing a finite periodic case with an infinite periodic case, it is pointed out that relative powers of diffraction beam are much similar in these of diffraction for the infinite periodic case.
- Publication
- IEICE TRANSACTIONS on Electronics Vol.E86-C No.6 pp.1098-1105
- Publication Date
- 2003/06/01
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- PAPER
- Category
- Electromagnetic Theory
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Junichi NAKAYAMA, Yoshinobu KITADA, "Wave Scattering from a Finite Periodic Surface: Spectral Formalism for TE Wave" in IEICE TRANSACTIONS on Electronics,
vol. E86-C, no. 6, pp. 1098-1105, June 2003, doi: .
Abstract: This paper deals with the wave scattering from a periodic surface with finite extent. Modifying a spectral formalism, we find that the spectral amplitude of the scattered wave can be determined by the surface field on only the corrugated part of the surface. The surface field on such a corrugated part is then expanded into Fourier series with unknown Fourier coefficients. A matrix equation for the Fourier coefficients is obtained and is solved numerically for a sinusoidally corrugated surface. Then, the angular distribution of the scattering, the relative power of each diffraction beam and the optical theorem are calculated and illustrated in figures. Also, the relative powers of diffraction are calculated against the angle of incidence for a periodic surface with infinite extent. By comparing a finite periodic case with an infinite periodic case, it is pointed out that relative powers of diffraction beam are much similar in these of diffraction for the infinite periodic case.
URL: https://global.ieice.org/en_transactions/electronics/10.1587/e86-c_6_1098/_p
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@ARTICLE{e86-c_6_1098,
author={Junichi NAKAYAMA, Yoshinobu KITADA, },
journal={IEICE TRANSACTIONS on Electronics},
title={Wave Scattering from a Finite Periodic Surface: Spectral Formalism for TE Wave},
year={2003},
volume={E86-C},
number={6},
pages={1098-1105},
abstract={This paper deals with the wave scattering from a periodic surface with finite extent. Modifying a spectral formalism, we find that the spectral amplitude of the scattered wave can be determined by the surface field on only the corrugated part of the surface. The surface field on such a corrugated part is then expanded into Fourier series with unknown Fourier coefficients. A matrix equation for the Fourier coefficients is obtained and is solved numerically for a sinusoidally corrugated surface. Then, the angular distribution of the scattering, the relative power of each diffraction beam and the optical theorem are calculated and illustrated in figures. Also, the relative powers of diffraction are calculated against the angle of incidence for a periodic surface with infinite extent. By comparing a finite periodic case with an infinite periodic case, it is pointed out that relative powers of diffraction beam are much similar in these of diffraction for the infinite periodic case.},
keywords={},
doi={},
ISSN={},
month={June},}
Copy
TY - JOUR
TI - Wave Scattering from a Finite Periodic Surface: Spectral Formalism for TE Wave
T2 - IEICE TRANSACTIONS on Electronics
SP - 1098
EP - 1105
AU - Junichi NAKAYAMA
AU - Yoshinobu KITADA
PY - 2003
DO -
JO - IEICE TRANSACTIONS on Electronics
SN -
VL - E86-C
IS - 6
JA - IEICE TRANSACTIONS on Electronics
Y1 - June 2003
AB - This paper deals with the wave scattering from a periodic surface with finite extent. Modifying a spectral formalism, we find that the spectral amplitude of the scattered wave can be determined by the surface field on only the corrugated part of the surface. The surface field on such a corrugated part is then expanded into Fourier series with unknown Fourier coefficients. A matrix equation for the Fourier coefficients is obtained and is solved numerically for a sinusoidally corrugated surface. Then, the angular distribution of the scattering, the relative power of each diffraction beam and the optical theorem are calculated and illustrated in figures. Also, the relative powers of diffraction are calculated against the angle of incidence for a periodic surface with infinite extent. By comparing a finite periodic case with an infinite periodic case, it is pointed out that relative powers of diffraction beam are much similar in these of diffraction for the infinite periodic case.
ER -
English
