Low Grazing Scattering from Sinusoidal Neumann Surface with Finite Extent: Total Scattering Cross Section

Junichi NAKAYAMA; Yasuhiko TAMURA

doi:10.1093/ietele/e91-c.1.56

Low Grazing Scattering from Sinusoidal Neumann Surface with Finite Extent: Total Scattering Cross Section

Junichi NAKAYAMA, Yasuhiko TAMURA

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This paper deals with the scattering of a transverse magnetic (TM) plane wave from a perfectly conductive sinusoidal surface with finite extent. By use of the undersampling approximation and a rectangular pulse approximation, an asymptotic formula for the total scattering cross section at a low grazing limit of incident angle is obtained explicitly under conditions such that the surface is small in roughness and slope, and the corrugation width is sufficiently large. The formula shows that the total scattering cross section is proportional to the square root of the corrugation width but does not depend on the surface period and surface roughness. When the corrugation width is not large, however, the scattered wave can be obtained by a single scattering approximation, which gives the total scattering cross section proportional to the corrugation width and the Rayleigh slope parameter. From the asymptotic formula and the single scattering solution, a transition point is defined explicitly. By comparison with numerical results, it is concluded that the asymptotic formula is fairly accurate when the corrugation width is much larger than the transition point.

Publication: IEICE TRANSACTIONS on Electronics Vol.E91-C No.1 pp.56-63

Publication Date: 2008/01/01

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Online ISSN: 1745-1353

DOI: 10.1093/ietele/e91-c.1.56

Type of Manuscript: PAPER

Category: Electromagnetic Theory

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Junichi NAKAYAMA, Yasuhiko TAMURA, "Low Grazing Scattering from Sinusoidal Neumann Surface with Finite Extent: Total Scattering Cross Section" in IEICE TRANSACTIONS on Electronics, vol. E91-C, no. 1, pp. 56-63, January 2008, doi: 10.1093/ietele/e91-c.1.56.
Abstract: This paper deals with the scattering of a transverse magnetic (TM) plane wave from a perfectly conductive sinusoidal surface with finite extent. By use of the undersampling approximation and a rectangular pulse approximation, an asymptotic formula for the total scattering cross section at a low grazing limit of incident angle is obtained explicitly under conditions such that the surface is small in roughness and slope, and the corrugation width is sufficiently large. The formula shows that the total scattering cross section is proportional to the square root of the corrugation width but does not depend on the surface period and surface roughness. When the corrugation width is not large, however, the scattered wave can be obtained by a single scattering approximation, which gives the total scattering cross section proportional to the corrugation width and the Rayleigh slope parameter. From the asymptotic formula and the single scattering solution, a transition point is defined explicitly. By comparison with numerical results, it is concluded that the asymptotic formula is fairly accurate when the corrugation width is much larger than the transition point.
URL: https://global.ieice.org/en_transactions/electronics/10.1093/ietele/e91-c.1.56/_p

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@ARTICLE{e91-c_1_56,
author={Junichi NAKAYAMA, Yasuhiko TAMURA, },
journal={IEICE TRANSACTIONS on Electronics},
title={Low Grazing Scattering from Sinusoidal Neumann Surface with Finite Extent: Total Scattering Cross Section},
year={2008},
volume={E91-C},
number={1},
pages={56-63},
abstract={This paper deals with the scattering of a transverse magnetic (TM) plane wave from a perfectly conductive sinusoidal surface with finite extent. By use of the undersampling approximation and a rectangular pulse approximation, an asymptotic formula for the total scattering cross section at a low grazing limit of incident angle is obtained explicitly under conditions such that the surface is small in roughness and slope, and the corrugation width is sufficiently large. The formula shows that the total scattering cross section is proportional to the square root of the corrugation width but does not depend on the surface period and surface roughness. When the corrugation width is not large, however, the scattered wave can be obtained by a single scattering approximation, which gives the total scattering cross section proportional to the corrugation width and the Rayleigh slope parameter. From the asymptotic formula and the single scattering solution, a transition point is defined explicitly. By comparison with numerical results, it is concluded that the asymptotic formula is fairly accurate when the corrugation width is much larger than the transition point.},
keywords={},
doi={10.1093/ietele/e91-c.1.56},
ISSN={1745-1353},
month={January},}

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TY - JOUR
TI - Low Grazing Scattering from Sinusoidal Neumann Surface with Finite Extent: Total Scattering Cross Section
T2 - IEICE TRANSACTIONS on Electronics
SP - 56
EP - 63
AU - Junichi NAKAYAMA
AU - Yasuhiko TAMURA
PY - 2008
DO - 10.1093/ietele/e91-c.1.56
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 transverse magnetic (TM) plane wave from a perfectly conductive sinusoidal surface with finite extent. By use of the undersampling approximation and a rectangular pulse approximation, an asymptotic formula for the total scattering cross section at a low grazing limit of incident angle is obtained explicitly under conditions such that the surface is small in roughness and slope, and the corrugation width is sufficiently large. The formula shows that the total scattering cross section is proportional to the square root of the corrugation width but does not depend on the surface period and surface roughness. When the corrugation width is not large, however, the scattered wave can be obtained by a single scattering approximation, which gives the total scattering cross section proportional to the corrugation width and the Rayleigh slope parameter. From the asymptotic formula and the single scattering solution, a transition point is defined explicitly. By comparison with numerical results, it is concluded that the asymptotic formula is fairly accurate when the corrugation width is much larger than the transition point.
ER -