Wave Scattering from a Periodic Surface with Finite Extent: A Periodic Approach

Junichi NAKAYAMA; Toyofumi MORIYAMA; Jiro YAMAKITA

Wave Scattering from a Periodic Surface with Finite Extent: A Periodic Approach

Junichi NAKAYAMA, Toyofumi MORIYAMA, Jiro YAMAKITA

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As a method of analyzing the wave scattering from a finite periodic surface, this paper introduces a periodic approach. The approach first considers the wave diffraction by a periodic surface that is a superposition of surface profiles generated by displacing the finite periodic surface by every integer multiple of the period . It is pointed out that the Floquet solution for such a periodic case becomes an integral representation of the scattered field from the finite periodic surface when the period goes to infinity. A mathematical relation estimating the scattering amplitude for the finite periodic surface from the diffraction amplitude for the periodic surface is proposed. From some numerical examples, it is concluded that the scattering cross section for the finite periodic surface can be well estimated from the diffraction amplitude for a sufficiently large .

Publication: IEICE TRANSACTIONS on Electronics Vol.E84-C No.8 pp.1111-1113

Publication Date: 2001/08/01

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Type of Manuscript: LETTER

Category: Electromagnetic Theory

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Junichi NAKAYAMA, Toyofumi MORIYAMA, Jiro YAMAKITA, "Wave Scattering from a Periodic Surface with Finite Extent: A Periodic Approach" in IEICE TRANSACTIONS on Electronics, vol. E84-C, no. 8, pp. 1111-1113, August 2001, doi: .
Abstract: As a method of analyzing the wave scattering from a finite periodic surface, this paper introduces a periodic approach. The approach first considers the wave diffraction by a periodic surface that is a superposition of surface profiles generated by displacing the finite periodic surface by every integer multiple of the period . It is pointed out that the Floquet solution for such a periodic case becomes an integral representation of the scattered field from the finite periodic surface when the period goes to infinity. A mathematical relation estimating the scattering amplitude for the finite periodic surface from the diffraction amplitude for the periodic surface is proposed. From some numerical examples, it is concluded that the scattering cross section for the finite periodic surface can be well estimated from the diffraction amplitude for a sufficiently large .
URL: https://global.ieice.org/en_transactions/electronics/10.1587/e84-c_8_1111/_p

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@ARTICLE{e84-c_8_1111,
author={Junichi NAKAYAMA, Toyofumi MORIYAMA, Jiro YAMAKITA, },
journal={IEICE TRANSACTIONS on Electronics},
title={Wave Scattering from a Periodic Surface with Finite Extent: A Periodic Approach},
year={2001},
volume={E84-C},
number={8},
pages={1111-1113},
abstract={As a method of analyzing the wave scattering from a finite periodic surface, this paper introduces a periodic approach. The approach first considers the wave diffraction by a periodic surface that is a superposition of surface profiles generated by displacing the finite periodic surface by every integer multiple of the period . It is pointed out that the Floquet solution for such a periodic case becomes an integral representation of the scattered field from the finite periodic surface when the period goes to infinity. A mathematical relation estimating the scattering amplitude for the finite periodic surface from the diffraction amplitude for the periodic surface is proposed. From some numerical examples, it is concluded that the scattering cross section for the finite periodic surface can be well estimated from the diffraction amplitude for a sufficiently large .},
keywords={},
doi={},
ISSN={},
month={August},}

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TY - JOUR
TI - Wave Scattering from a Periodic Surface with Finite Extent: A Periodic Approach
T2 - IEICE TRANSACTIONS on Electronics
SP - 1111
EP - 1113
AU - Junichi NAKAYAMA
AU - Toyofumi MORIYAMA
AU - Jiro YAMAKITA
PY - 2001
DO -
JO - IEICE TRANSACTIONS on Electronics
SN -
VL - E84-C
IS - 8
JA - IEICE TRANSACTIONS on Electronics
Y1 - August 2001
AB - As a method of analyzing the wave scattering from a finite periodic surface, this paper introduces a periodic approach. The approach first considers the wave diffraction by a periodic surface that is a superposition of surface profiles generated by displacing the finite periodic surface by every integer multiple of the period . It is pointed out that the Floquet solution for such a periodic case becomes an integral representation of the scattered field from the finite periodic surface when the period goes to infinity. A mathematical relation estimating the scattering amplitude for the finite periodic surface from the diffraction amplitude for the periodic surface is proposed. From some numerical examples, it is concluded that the scattering cross section for the finite periodic surface can be well estimated from the diffraction amplitude for a sufficiently large .
ER -