Wave Scattering and Diffraction from a Finite Periodic Surface: Diffraction Order and Diffraction Beam

Junichi NAKAYAMA; Hayato TSUJI

Wave Scattering and Diffraction from a Finite Periodic Surface: Diffraction Order and Diffraction Beam

Junichi NAKAYAMA, Hayato TSUJI

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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.

Publication: IEICE TRANSACTIONS on Electronics Vol.E85-C No.10 pp.1808-1813

Publication Date: 2002/10/01

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Type of Manuscript: PAPER

Category: Electromagnetic Theory

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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},}

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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 -