Scattering of a TM Plane Wave from a Periodic Surface with Finite Extent: Perturbation Solution

Junichi NAKAYAMA; Yujiro OCHI; Yasuhiko TAMURA

doi:10.1093/ietele/e89-c.9.1358

Scattering of a TM Plane Wave from a Periodic Surface with Finite Extent: Perturbation Solution

Junichi NAKAYAMA, Yujiro OCHI, Yasuhiko TAMURA

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This paper studies the scattering of a TM plane wave from a perfectly conductive sinusoidal surface with finite extent by the small perturbation method. We obtain the first and second order perturbed solutions explicitly, in terms of which the differential scattering cross section and the total scattering cross section per unit surface are calculated and are illustrated in figures. By comparison with results by a numerical method, it is concluded that the perturbed solution is reasonable even for a critical angle of incidence if the surface is small in roughness and gentle in slope and if the corrugation width is less than certain value. A brief discussion is given on multiple scattering effects.

Publication: IEICE TRANSACTIONS on Electronics Vol.E89-C No.9 pp.1358-1361

Publication Date: 2006/09/01

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Online ISSN: 1745-1353

DOI: 10.1093/ietele/e89-c.9.1358

Type of Manuscript: LETTER

Category: Electromagnetic Theory

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Junichi NAKAYAMA, Yujiro OCHI, Yasuhiko TAMURA, "Scattering of a TM Plane Wave from a Periodic Surface with Finite Extent: Perturbation Solution" in IEICE TRANSACTIONS on Electronics, vol. E89-C, no. 9, pp. 1358-1361, September 2006, doi: 10.1093/ietele/e89-c.9.1358.
Abstract: This paper studies the scattering of a TM plane wave from a perfectly conductive sinusoidal surface with finite extent by the small perturbation method. We obtain the first and second order perturbed solutions explicitly, in terms of which the differential scattering cross section and the total scattering cross section per unit surface are calculated and are illustrated in figures. By comparison with results by a numerical method, it is concluded that the perturbed solution is reasonable even for a critical angle of incidence if the surface is small in roughness and gentle in slope and if the corrugation width is less than certain value. A brief discussion is given on multiple scattering effects.
URL: https://globals.ieice.org/en_transactions/electronics/10.1093/ietele/e89-c.9.1358/_p

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@ARTICLE{e89-c_9_1358,
author={Junichi NAKAYAMA, Yujiro OCHI, Yasuhiko TAMURA, },
journal={IEICE TRANSACTIONS on Electronics},
title={Scattering of a TM Plane Wave from a Periodic Surface with Finite Extent: Perturbation Solution},
year={2006},
volume={E89-C},
number={9},
pages={1358-1361},
abstract={This paper studies the scattering of a TM plane wave from a perfectly conductive sinusoidal surface with finite extent by the small perturbation method. We obtain the first and second order perturbed solutions explicitly, in terms of which the differential scattering cross section and the total scattering cross section per unit surface are calculated and are illustrated in figures. By comparison with results by a numerical method, it is concluded that the perturbed solution is reasonable even for a critical angle of incidence if the surface is small in roughness and gentle in slope and if the corrugation width is less than certain value. A brief discussion is given on multiple scattering effects.},
keywords={},
doi={10.1093/ietele/e89-c.9.1358},
ISSN={1745-1353},
month={September},}

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TY - JOUR
TI - Scattering of a TM Plane Wave from a Periodic Surface with Finite Extent: Perturbation Solution
T2 - IEICE TRANSACTIONS on Electronics
SP - 1358
EP - 1361
AU - Junichi NAKAYAMA
AU - Yujiro OCHI
AU - Yasuhiko TAMURA
PY - 2006
DO - 10.1093/ietele/e89-c.9.1358
JO - IEICE TRANSACTIONS on Electronics
SN - 1745-1353
VL - E89-C
IS - 9
JA - IEICE TRANSACTIONS on Electronics
Y1 - September 2006
AB - This paper studies the scattering of a TM plane wave from a perfectly conductive sinusoidal surface with finite extent by the small perturbation method. We obtain the first and second order perturbed solutions explicitly, in terms of which the differential scattering cross section and the total scattering cross section per unit surface are calculated and are illustrated in figures. By comparison with results by a numerical method, it is concluded that the perturbed solution is reasonable even for a critical angle of incidence if the surface is small in roughness and gentle in slope and if the corrugation width is less than certain value. A brief discussion is given on multiple scattering effects.
ER -