Scattering of Electromagnetic Waves by a Dielectric Grating with Planar Slanted-Fringe

Tsuneki YAMASAKI; Hirotaka TANAKA

Scattering of Electromagnetic Waves by a Dielectric Grating with Planar Slanted-Fringe

Tsuneki YAMASAKI, Hirotaka TANAKA

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The scattering of electromagnetic waves by a dielectric grating with planar slanted-fringe is analyzed using the improved Fourier series expansion method. In the analysis, the slanted grating region is divided into layers to make an assembly of stratified thin modulated index layers. This method can be applied to a wide range of periodic structures and is especially effective in the case of planar slanted grating, because the electromagnetic fields in the each layer can easily be obtained by shifting the solution in the first layer. In this paper, the numerical results are given for grating with rectangular and sinusoidal dielectric profiles, and for TM and TE cases of arbitrary incident angle. The diffraction efficiencies obtained by the presented method are compared with the results by the coupled-wave approach; the influences of the slant angle on the diffraction efficiencies at the Wood's anomaly and at the coupling resonance frequency are also discussed.

Publication: IEICE TRANSACTIONS on Electronics Vol.E76-C No.10 pp.1435-1442

Publication Date: 1993/10/25

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Type of Manuscript: Special Section PAPER (Special Issue on the 1992 Symposium on Electromagnetic Theory)

Category: Scattering and Diffraction

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Tsuneki YAMASAKI, Hirotaka TANAKA, "Scattering of Electromagnetic Waves by a Dielectric Grating with Planar Slanted-Fringe" in IEICE TRANSACTIONS on Electronics, vol. E76-C, no. 10, pp. 1435-1442, October 1993, doi: .
Abstract: The scattering of electromagnetic waves by a dielectric grating with planar slanted-fringe is analyzed using the improved Fourier series expansion method. In the analysis, the slanted grating region is divided into layers to make an assembly of stratified thin modulated index layers. This method can be applied to a wide range of periodic structures and is especially effective in the case of planar slanted grating, because the electromagnetic fields in the each layer can easily be obtained by shifting the solution in the first layer. In this paper, the numerical results are given for grating with rectangular and sinusoidal dielectric profiles, and for TM and TE cases of arbitrary incident angle. The diffraction efficiencies obtained by the presented method are compared with the results by the coupled-wave approach; the influences of the slant angle on the diffraction efficiencies at the Wood's anomaly and at the coupling resonance frequency are also discussed.
URL: https://global.ieice.org/en_transactions/electronics/10.1587/e76-c_10_1435/_p

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@ARTICLE{e76-c_10_1435,
author={Tsuneki YAMASAKI, Hirotaka TANAKA, },
journal={IEICE TRANSACTIONS on Electronics},
title={Scattering of Electromagnetic Waves by a Dielectric Grating with Planar Slanted-Fringe},
year={1993},
volume={E76-C},
number={10},
pages={1435-1442},
abstract={The scattering of electromagnetic waves by a dielectric grating with planar slanted-fringe is analyzed using the improved Fourier series expansion method. In the analysis, the slanted grating region is divided into layers to make an assembly of stratified thin modulated index layers. This method can be applied to a wide range of periodic structures and is especially effective in the case of planar slanted grating, because the electromagnetic fields in the each layer can easily be obtained by shifting the solution in the first layer. In this paper, the numerical results are given for grating with rectangular and sinusoidal dielectric profiles, and for TM and TE cases of arbitrary incident angle. The diffraction efficiencies obtained by the presented method are compared with the results by the coupled-wave approach; the influences of the slant angle on the diffraction efficiencies at the Wood's anomaly and at the coupling resonance frequency are also discussed.},
keywords={},
doi={},
ISSN={},
month={October},}

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TY - JOUR
TI - Scattering of Electromagnetic Waves by a Dielectric Grating with Planar Slanted-Fringe
T2 - IEICE TRANSACTIONS on Electronics
SP - 1435
EP - 1442
AU - Tsuneki YAMASAKI
AU - Hirotaka TANAKA
PY - 1993
DO -
JO - IEICE TRANSACTIONS on Electronics
SN -
VL - E76-C
IS - 10
JA - IEICE TRANSACTIONS on Electronics
Y1 - October 1993
AB - The scattering of electromagnetic waves by a dielectric grating with planar slanted-fringe is analyzed using the improved Fourier series expansion method. In the analysis, the slanted grating region is divided into layers to make an assembly of stratified thin modulated index layers. This method can be applied to a wide range of periodic structures and is especially effective in the case of planar slanted grating, because the electromagnetic fields in the each layer can easily be obtained by shifting the solution in the first layer. In this paper, the numerical results are given for grating with rectangular and sinusoidal dielectric profiles, and for TM and TE cases of arbitrary incident angle. The diffraction efficiencies obtained by the presented method are compared with the results by the coupled-wave approach; the influences of the slant angle on the diffraction efficiencies at the Wood's anomaly and at the coupling resonance frequency are also discussed.
ER -