By use of the shadow theory developed recently, this paper deals with the transverse electric (TE) wave diffraction by a perfectly conductive periodic array of rectangular grooves. A set of equations for scattering factors and mode factors are derived and solved numerically. In terms of the scattering factors, diffraction amplitudes and diffraction efficiencies are calculated and shown in figures. It is demonstrated that diffraction efficiencies become discontinuous at an incident wave number where the incident wave is switched from a propagating wave to an evanescent one, whereas scattering factors and diffraction amplitudes are continuous even at such an incident wave number.
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Junichi NAKAYAMA, Yasuhiko TAMURA, Kiyoshi TSUTSUMI, "Shadow Theory of Diffraction Grating: A Numerical Example for TE Wave" in IEICE TRANSACTIONS on Electronics,
vol. E92-C, no. 3, pp. 370-373, March 2009, doi: 10.1587/transele.E92.C.370.
Abstract: By use of the shadow theory developed recently, this paper deals with the transverse electric (TE) wave diffraction by a perfectly conductive periodic array of rectangular grooves. A set of equations for scattering factors and mode factors are derived and solved numerically. In terms of the scattering factors, diffraction amplitudes and diffraction efficiencies are calculated and shown in figures. It is demonstrated that diffraction efficiencies become discontinuous at an incident wave number where the incident wave is switched from a propagating wave to an evanescent one, whereas scattering factors and diffraction amplitudes are continuous even at such an incident wave number.
URL: https://global.ieice.org/en_transactions/electronics/10.1587/transele.E92.C.370/_p
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@ARTICLE{e92-c_3_370,
author={Junichi NAKAYAMA, Yasuhiko TAMURA, Kiyoshi TSUTSUMI, },
journal={IEICE TRANSACTIONS on Electronics},
title={Shadow Theory of Diffraction Grating: A Numerical Example for TE Wave},
year={2009},
volume={E92-C},
number={3},
pages={370-373},
abstract={By use of the shadow theory developed recently, this paper deals with the transverse electric (TE) wave diffraction by a perfectly conductive periodic array of rectangular grooves. A set of equations for scattering factors and mode factors are derived and solved numerically. In terms of the scattering factors, diffraction amplitudes and diffraction efficiencies are calculated and shown in figures. It is demonstrated that diffraction efficiencies become discontinuous at an incident wave number where the incident wave is switched from a propagating wave to an evanescent one, whereas scattering factors and diffraction amplitudes are continuous even at such an incident wave number.},
keywords={},
doi={10.1587/transele.E92.C.370},
ISSN={1745-1353},
month={March},}
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TY - JOUR
TI - Shadow Theory of Diffraction Grating: A Numerical Example for TE Wave
T2 - IEICE TRANSACTIONS on Electronics
SP - 370
EP - 373
AU - Junichi NAKAYAMA
AU - Yasuhiko TAMURA
AU - Kiyoshi TSUTSUMI
PY - 2009
DO - 10.1587/transele.E92.C.370
JO - IEICE TRANSACTIONS on Electronics
SN - 1745-1353
VL - E92-C
IS - 3
JA - IEICE TRANSACTIONS on Electronics
Y1 - March 2009
AB - By use of the shadow theory developed recently, this paper deals with the transverse electric (TE) wave diffraction by a perfectly conductive periodic array of rectangular grooves. A set of equations for scattering factors and mode factors are derived and solved numerically. In terms of the scattering factors, diffraction amplitudes and diffraction efficiencies are calculated and shown in figures. It is demonstrated that diffraction efficiencies become discontinuous at an incident wave number where the incident wave is switched from a propagating wave to an evanescent one, whereas scattering factors and diffraction amplitudes are continuous even at such an incident wave number.
ER -