The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. ex. Some numerals are expressed as "XNUMX".
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The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
Cet article traite d'une formulation mathématique de la diffusion à partir d'une surface périodique d'étendue finie. Dans un article précédent, il a été montré que l'onde diffusée était représentée par une forme de Floquet étendue en utilisant la nature périodique de la surface. Cet article donne une nouvelle interprétation de la forme étendue de Floquet, comprise comme une somme de faisceaux de diffraction avec des ordres de diffraction. Ensuite, le flux de puissance de chaque faisceau de diffraction et la puissance relative de diffraction sont introduits. Ensuite, sur la base d'une hypothèse physique telle que la diffusion des ondes s'effectue uniquement à partir de la partie ondulée de la surface, les fonctions d'amplitude sont représentées par le théorème d'échantillonnage avec une séquence d'échantillons inconnue. À partir de la condition aux limites de Dirichlet, une équation pour la séquence d'échantillons est dérivée et résolue numériquement pour calculer la section efficace de diffusion et le théorème optique. Des discussions sont données sur une hypothèse telle que la puissance relative du faisceau diffracté devient presque indépendante de la largeur de l'ondulation superficielle.
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Junichi NAKAYAMA, Hayato TSUJI, "Wave Scattering and Diffraction from a Finite Periodic Surface: Diffraction Order and Diffraction Beam" in IEICE TRANSACTIONS on Electronics,
vol. E85-C, no. 10, pp. 1808-1813, October 2002, doi: .
Abstract: This paper deals with a mathematical formulation of the scattering from a periodic surface with finite extent. In a previous paper the scattered wave was shown to be represented by an extended Floquet form by use of the periodic nature of the surface. This paper gives a new interpretation of the extended Floquet form, which is understood as a sum of diffraction beams with diffraction orders. Then, the power flow of each diffraction beam and the relative power of diffraction are introduced. Next, on the basis of a physical assumption such that the wave scattering takes place only from the corrugated part of the surface, the amplitude functions are represented by the sampling theorem with unknown sample sequence. From the Dirichlet boundary condition, an equation for the sample sequence is derived and solved numerically to calculate the scattering cross section and optical theorem. Discussions are given on a hypothesis such that the relative power of diffracted beam becomes almost independent of the width of surface corrugation.
URL: https://global.ieice.org/en_transactions/electronics/10.1587/e85-c_10_1808/_p
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@ARTICLE{e85-c_10_1808,
author={Junichi NAKAYAMA, Hayato TSUJI, },
journal={IEICE TRANSACTIONS on Electronics},
title={Wave Scattering and Diffraction from a Finite Periodic Surface: Diffraction Order and Diffraction Beam},
year={2002},
volume={E85-C},
number={10},
pages={1808-1813},
abstract={This paper deals with a mathematical formulation of the scattering from a periodic surface with finite extent. In a previous paper the scattered wave was shown to be represented by an extended Floquet form by use of the periodic nature of the surface. This paper gives a new interpretation of the extended Floquet form, which is understood as a sum of diffraction beams with diffraction orders. Then, the power flow of each diffraction beam and the relative power of diffraction are introduced. Next, on the basis of a physical assumption such that the wave scattering takes place only from the corrugated part of the surface, the amplitude functions are represented by the sampling theorem with unknown sample sequence. From the Dirichlet boundary condition, an equation for the sample sequence is derived and solved numerically to calculate the scattering cross section and optical theorem. Discussions are given on a hypothesis such that the relative power of diffracted beam becomes almost independent of the width of surface corrugation.},
keywords={},
doi={},
ISSN={},
month={October},}
Copier
TY - JOUR
TI - Wave Scattering and Diffraction from a Finite Periodic Surface: Diffraction Order and Diffraction Beam
T2 - IEICE TRANSACTIONS on Electronics
SP - 1808
EP - 1813
AU - Junichi NAKAYAMA
AU - Hayato TSUJI
PY - 2002
DO -
JO - IEICE TRANSACTIONS on Electronics
SN -
VL - E85-C
IS - 10
JA - IEICE TRANSACTIONS on Electronics
Y1 - October 2002
AB - This paper deals with a mathematical formulation of the scattering from a periodic surface with finite extent. In a previous paper the scattered wave was shown to be represented by an extended Floquet form by use of the periodic nature of the surface. This paper gives a new interpretation of the extended Floquet form, which is understood as a sum of diffraction beams with diffraction orders. Then, the power flow of each diffraction beam and the relative power of diffraction are introduced. Next, on the basis of a physical assumption such that the wave scattering takes place only from the corrugated part of the surface, the amplitude functions are represented by the sampling theorem with unknown sample sequence. From the Dirichlet boundary condition, an equation for the sample sequence is derived and solved numerically to calculate the scattering cross section and optical theorem. Discussions are given on a hypothesis such that the relative power of diffracted beam becomes almost independent of the width of surface corrugation.
ER -