Scattering of TM Plane Wave from Periodic Grating with Single Defect

Kazuhiro HATTORI; Junichi NAKAYAMA; Yasuhiko TAMURA

doi:10.1093/ietele/e91-c.1.17

Scattering of TM Plane Wave from Periodic Grating with Single Defect

Kazuhiro HATTORI, Junichi NAKAYAMA, Yasuhiko TAMURA

Full Text Views

0

Share
Cite this

Summary :

This paper deals with the scattering of a TM plane wave from a periodic grating with single defect, of which position is known. The surface is perfectly conductive and made up with a periodic array of rectangular grooves and a defect where a groove is not formed. The scattered wave above grooves is written as a variation from the diffracted wave for the perfectly periodic case. Then, an integral equation for the scattering amplitude is obtained, which is solved numerically by use of truncation and the iteration method. The differential scattering cross section and the optical theorem are calculated in terms of the scattering amplitude and are illustrated in figures. It is found that incoherent Wood's anomaly appears at critical angles of scattering. The physical mechanisms of Wood's anomaly and incoherent Wood's anomaly are discussed in relation to the guided surface wave excited by the incident plane wave. It is concluded that incoherent Wood's anomaly is caused by the diffraction of the guided surface wave.

Publication: IEICE TRANSACTIONS on Electronics Vol.E91-C No.1 pp.17-25

Publication Date: 2008/01/01

Publicized

Online ISSN: 1745-1353

DOI: 10.1093/ietele/e91-c.1.17

Type of Manuscript: Special Section PAPER (Special Section on Recent Progress in Electromagnetic Theory and Its Application)

Category: Scattering and Diffraction

Cite this

Copy

Kazuhiro HATTORI, Junichi NAKAYAMA, Yasuhiko TAMURA, "Scattering of TM Plane Wave from Periodic Grating with Single Defect" in IEICE TRANSACTIONS on Electronics, vol. E91-C, no. 1, pp. 17-25, January 2008, doi: 10.1093/ietele/e91-c.1.17.
Abstract: This paper deals with the scattering of a TM plane wave from a periodic grating with single defect, of which position is known. The surface is perfectly conductive and made up with a periodic array of rectangular grooves and a defect where a groove is not formed. The scattered wave above grooves is written as a variation from the diffracted wave for the perfectly periodic case. Then, an integral equation for the scattering amplitude is obtained, which is solved numerically by use of truncation and the iteration method. The differential scattering cross section and the optical theorem are calculated in terms of the scattering amplitude and are illustrated in figures. It is found that incoherent Wood's anomaly appears at critical angles of scattering. The physical mechanisms of Wood's anomaly and incoherent Wood's anomaly are discussed in relation to the guided surface wave excited by the incident plane wave. It is concluded that incoherent Wood's anomaly is caused by the diffraction of the guided surface wave.
URL: https://globals.ieice.org/en_transactions/electronics/10.1093/ietele/e91-c.1.17/_p

Copy

@ARTICLE{e91-c_1_17,
author={Kazuhiro HATTORI, Junichi NAKAYAMA, Yasuhiko TAMURA, },
journal={IEICE TRANSACTIONS on Electronics},
title={Scattering of TM Plane Wave from Periodic Grating with Single Defect},
year={2008},
volume={E91-C},
number={1},
pages={17-25},
abstract={This paper deals with the scattering of a TM plane wave from a periodic grating with single defect, of which position is known. The surface is perfectly conductive and made up with a periodic array of rectangular grooves and a defect where a groove is not formed. The scattered wave above grooves is written as a variation from the diffracted wave for the perfectly periodic case. Then, an integral equation for the scattering amplitude is obtained, which is solved numerically by use of truncation and the iteration method. The differential scattering cross section and the optical theorem are calculated in terms of the scattering amplitude and are illustrated in figures. It is found that incoherent Wood's anomaly appears at critical angles of scattering. The physical mechanisms of Wood's anomaly and incoherent Wood's anomaly are discussed in relation to the guided surface wave excited by the incident plane wave. It is concluded that incoherent Wood's anomaly is caused by the diffraction of the guided surface wave.},
keywords={},
doi={10.1093/ietele/e91-c.1.17},
ISSN={1745-1353},
month={January},}

Copy

TY - JOUR
TI - Scattering of TM Plane Wave from Periodic Grating with Single Defect
T2 - IEICE TRANSACTIONS on Electronics
SP - 17
EP - 25
AU - Kazuhiro HATTORI
AU - Junichi NAKAYAMA
AU - Yasuhiko TAMURA
PY - 2008
DO - 10.1093/ietele/e91-c.1.17
JO - IEICE TRANSACTIONS on Electronics
SN - 1745-1353
VL - E91-C
IS - 1
JA - IEICE TRANSACTIONS on Electronics
Y1 - January 2008
AB - This paper deals with the scattering of a TM plane wave from a periodic grating with single defect, of which position is known. The surface is perfectly conductive and made up with a periodic array of rectangular grooves and a defect where a groove is not formed. The scattered wave above grooves is written as a variation from the diffracted wave for the perfectly periodic case. Then, an integral equation for the scattering amplitude is obtained, which is solved numerically by use of truncation and the iteration method. The differential scattering cross section and the optical theorem are calculated in terms of the scattering amplitude and are illustrated in figures. It is found that incoherent Wood's anomaly appears at critical angles of scattering. The physical mechanisms of Wood's anomaly and incoherent Wood's anomaly are discussed in relation to the guided surface wave excited by the incident plane wave. It is concluded that incoherent Wood's anomaly is caused by the diffraction of the guided surface wave.
ER -