Diffraction Amplitudes from Periodic Neumann Surface: Low Grazing Limit of Incidence (III)

Junichi NAKAYAMA; Kazuhiro HATTORI; Yasuhiko TAMURA

doi:10.1093/ietele/e90-c.2.536

Diffraction Amplitudes from Periodic Neumann Surface: Low Grazing Limit of Incidence (III)

Junichi NAKAYAMA, Kazuhiro HATTORI, Yasuhiko TAMURA

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This paper deals with the singular behavior of the diffraction of transverse magnetic (TM) waves by a perfectly conductive triangular periodic surface at a low grazing limit of incidence. The wave field above the highest excursion of the surface is represented as a sum of Floquet modes with modified diffraction amplitudes, whereas the wave field inside a triangular groove is written as a sum of guided modes with unknown mode amplitudes. Then, two sets of equations are derived for such amplitudes. From the equation sets, all the amplitudes are analytically shown to vanish at a low grazing limit of incidence. From this fact, it is concluded analytically that no diffraction takes place and only reflection occurs at a low grazing limit of incidence for any period length and any triangle height. This theoretical result is verified by a numerical example.

Publication: IEICE TRANSACTIONS on Electronics Vol.E90-C No.2 pp.536-538

Publication Date: 2007/02/01

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Online ISSN: 1745-1353

DOI: 10.1093/ietele/e90-c.2.536

Type of Manuscript: LETTER

Category: Electromagnetic Theory

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Junichi NAKAYAMA, Kazuhiro HATTORI, Yasuhiko TAMURA, "Diffraction Amplitudes from Periodic Neumann Surface: Low Grazing Limit of Incidence (III)" in IEICE TRANSACTIONS on Electronics, vol. E90-C, no. 2, pp. 536-538, February 2007, doi: 10.1093/ietele/e90-c.2.536.
Abstract: This paper deals with the singular behavior of the diffraction of transverse magnetic (TM) waves by a perfectly conductive triangular periodic surface at a low grazing limit of incidence. The wave field above the highest excursion of the surface is represented as a sum of Floquet modes with modified diffraction amplitudes, whereas the wave field inside a triangular groove is written as a sum of guided modes with unknown mode amplitudes. Then, two sets of equations are derived for such amplitudes. From the equation sets, all the amplitudes are analytically shown to vanish at a low grazing limit of incidence. From this fact, it is concluded analytically that no diffraction takes place and only reflection occurs at a low grazing limit of incidence for any period length and any triangle height. This theoretical result is verified by a numerical example.
URL: https://globals.ieice.org/en_transactions/electronics/10.1093/ietele/e90-c.2.536/_p

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@ARTICLE{e90-c_2_536,
author={Junichi NAKAYAMA, Kazuhiro HATTORI, Yasuhiko TAMURA, },
journal={IEICE TRANSACTIONS on Electronics},
title={Diffraction Amplitudes from Periodic Neumann Surface: Low Grazing Limit of Incidence (III)},
year={2007},
volume={E90-C},
number={2},
pages={536-538},
abstract={This paper deals with the singular behavior of the diffraction of transverse magnetic (TM) waves by a perfectly conductive triangular periodic surface at a low grazing limit of incidence. The wave field above the highest excursion of the surface is represented as a sum of Floquet modes with modified diffraction amplitudes, whereas the wave field inside a triangular groove is written as a sum of guided modes with unknown mode amplitudes. Then, two sets of equations are derived for such amplitudes. From the equation sets, all the amplitudes are analytically shown to vanish at a low grazing limit of incidence. From this fact, it is concluded analytically that no diffraction takes place and only reflection occurs at a low grazing limit of incidence for any period length and any triangle height. This theoretical result is verified by a numerical example.},
keywords={},
doi={10.1093/ietele/e90-c.2.536},
ISSN={1745-1353},
month={February},}

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TY - JOUR
TI - Diffraction Amplitudes from Periodic Neumann Surface: Low Grazing Limit of Incidence (III)
T2 - IEICE TRANSACTIONS on Electronics
SP - 536
EP - 538
AU - Junichi NAKAYAMA
AU - Kazuhiro HATTORI
AU - Yasuhiko TAMURA
PY - 2007
DO - 10.1093/ietele/e90-c.2.536
JO - IEICE TRANSACTIONS on Electronics
SN - 1745-1353
VL - E90-C
IS - 2
JA - IEICE TRANSACTIONS on Electronics
Y1 - February 2007
AB - This paper deals with the singular behavior of the diffraction of transverse magnetic (TM) waves by a perfectly conductive triangular periodic surface at a low grazing limit of incidence. The wave field above the highest excursion of the surface is represented as a sum of Floquet modes with modified diffraction amplitudes, whereas the wave field inside a triangular groove is written as a sum of guided modes with unknown mode amplitudes. Then, two sets of equations are derived for such amplitudes. From the equation sets, all the amplitudes are analytically shown to vanish at a low grazing limit of incidence. From this fact, it is concluded analytically that no diffraction takes place and only reflection occurs at a low grazing limit of incidence for any period length and any triangle height. This theoretical result is verified by a numerical example.
ER -