Low Grazing Scattering from Periodic Neumann Surface with Finite Extent

Junichi NAKAYAMA; Kazuhiro HATTORI; Yasuhiko TAMURA

doi:10.1093/ietele/e90-c.4.903

Low Grazing Scattering from Periodic Neumann Surface with Finite Extent

Junichi NAKAYAMA, Kazuhiro HATTORI, Yasuhiko TAMURA

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This paper deals with the scattering of transverse magnetic (TM) plane wave by a perfectly conductive surface made up of a periodic array of finite number of rectangular grooves. By the modal expansion method, the total scattering cross section p_c is numerically calculated for several different numbers of grooves. It is then found that, when the groove depth is less than wavelenght, the total scattering cross section p_c increases linearly proportional to the corrugation width W. But an exception takes place at a low grazing angle of incidence, where p_c is proportional to W^α and the exponent α is less than 1. From these facts, it is concluded that the total scattering cross section p_c must diverge but p_c/W the total scattering cross section per unit surface must vanish at a low grazing limit when the number of grooves goes to infinity.

Publication: IEICE TRANSACTIONS on Electronics Vol.E90-C No.4 pp.903-906

Publication Date: 2007/04/01

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Online ISSN: 1745-1353

DOI: 10.1093/ietele/e90-c.4.903

Type of Manuscript: LETTER

Category: Electromagnetic Theory

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Junichi NAKAYAMA, Kazuhiro HATTORI, Yasuhiko TAMURA, "Low Grazing Scattering from Periodic Neumann Surface with Finite Extent" in IEICE TRANSACTIONS on Electronics, vol. E90-C, no. 4, pp. 903-906, April 2007, doi: 10.1093/ietele/e90-c.4.903.
Abstract: This paper deals with the scattering of transverse magnetic (TM) plane wave by a perfectly conductive surface made up of a periodic array of finite number of rectangular grooves. By the modal expansion method, the total scattering cross section p_c is numerically calculated for several different numbers of grooves. It is then found that, when the groove depth is less than wavelenght, the total scattering cross section p_c increases linearly proportional to the corrugation width W. But an exception takes place at a low grazing angle of incidence, where p_c is proportional to W^α and the exponent α is less than 1. From these facts, it is concluded that the total scattering cross section p_c must diverge but p_c/W the total scattering cross section per unit surface must vanish at a low grazing limit when the number of grooves goes to infinity.
URL: https://globals.ieice.org/en_transactions/electronics/10.1093/ietele/e90-c.4.903/_p

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@ARTICLE{e90-c_4_903,
author={Junichi NAKAYAMA, Kazuhiro HATTORI, Yasuhiko TAMURA, },
journal={IEICE TRANSACTIONS on Electronics},
title={Low Grazing Scattering from Periodic Neumann Surface with Finite Extent},
year={2007},
volume={E90-C},
number={4},
pages={903-906},
abstract={This paper deals with the scattering of transverse magnetic (TM) plane wave by a perfectly conductive surface made up of a periodic array of finite number of rectangular grooves. By the modal expansion method, the total scattering cross section p_c is numerically calculated for several different numbers of grooves. It is then found that, when the groove depth is less than wavelenght, the total scattering cross section p_c increases linearly proportional to the corrugation width W. But an exception takes place at a low grazing angle of incidence, where p_c is proportional to W^α and the exponent α is less than 1. From these facts, it is concluded that the total scattering cross section p_c must diverge but p_c/W the total scattering cross section per unit surface must vanish at a low grazing limit when the number of grooves goes to infinity.},
keywords={},
doi={10.1093/ietele/e90-c.4.903},
ISSN={1745-1353},
month={April},}

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TY - JOUR
TI - Low Grazing Scattering from Periodic Neumann Surface with Finite Extent
T2 - IEICE TRANSACTIONS on Electronics
SP - 903
EP - 906
AU - Junichi NAKAYAMA
AU - Kazuhiro HATTORI
AU - Yasuhiko TAMURA
PY - 2007
DO - 10.1093/ietele/e90-c.4.903
JO - IEICE TRANSACTIONS on Electronics
SN - 1745-1353
VL - E90-C
IS - 4
JA - IEICE TRANSACTIONS on Electronics
Y1 - April 2007
AB - This paper deals with the scattering of transverse magnetic (TM) plane wave by a perfectly conductive surface made up of a periodic array of finite number of rectangular grooves. By the modal expansion method, the total scattering cross section p_c is numerically calculated for several different numbers of grooves. It is then found that, when the groove depth is less than wavelenght, the total scattering cross section p_c increases linearly proportional to the corrugation width W. But an exception takes place at a low grazing angle of incidence, where p_c is proportional to W^α and the exponent α is less than 1. From these facts, it is concluded that the total scattering cross section p_c must diverge but p_c/W the total scattering cross section per unit surface must vanish at a low grazing limit when the number of grooves goes to infinity.
ER -