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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.

- Publication
- IEICE TRANSACTIONS on Electronics Vol.E92-C No.3 pp.370-373

- Publication Date
- 2009/03/01

- Publicized

- Online ISSN
- 1745-1353

- DOI
- 10.1587/transele.E92.C.370

- Type of Manuscript
- LETTER

- Category
- Electromagnetic Theory

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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 -