Periodic Fourier Transform and Its Application to Wave Scattering from a Finite Periodic Surface: Two-Dimensional Case

Junichi NAKAYAMA

doi:10.1093/ietele/e88-c.5.1025

Periodic Fourier Transform and Its Application to Wave Scattering from a Finite Periodic Surface: Two-Dimensional Case

Junichi NAKAYAMA

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In this paper, the previously introduced periodic Fourier transform concept is extended to a two-dimensional case. The relations between the periodic Fourier transform, harmonic series representation and Fourier integral representation are also discussed. As a simple application of the periodic Fourier transform, the scattering of a scalar wave from a finite periodic surface with weight is studied. It is shown that the scattered wave may have an extended Floquet form, which is physically considered as the sum of diffraction beams. By the small perturbation method, the first order solution is given explicitly and the scattering cross section is calculated.

Publication: IEICE TRANSACTIONS on Electronics Vol.E88-C No.5 pp.1025-1032

Publication Date: 2005/05/01

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DOI: 10.1093/ietele/e88-c.5.1025

Type of Manuscript: PAPER

Category: Electromagnetic Theory

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Junichi NAKAYAMA, "Periodic Fourier Transform and Its Application to Wave Scattering from a Finite Periodic Surface: Two-Dimensional Case" in IEICE TRANSACTIONS on Electronics, vol. E88-C, no. 5, pp. 1025-1032, May 2005, doi: 10.1093/ietele/e88-c.5.1025.
Abstract: In this paper, the previously introduced periodic Fourier transform concept is extended to a two-dimensional case. The relations between the periodic Fourier transform, harmonic series representation and Fourier integral representation are also discussed. As a simple application of the periodic Fourier transform, the scattering of a scalar wave from a finite periodic surface with weight is studied. It is shown that the scattered wave may have an extended Floquet form, which is physically considered as the sum of diffraction beams. By the small perturbation method, the first order solution is given explicitly and the scattering cross section is calculated.
URL: https://globals.ieice.org/en_transactions/electronics/10.1093/ietele/e88-c.5.1025/_p

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@ARTICLE{e88-c_5_1025,
author={Junichi NAKAYAMA, },
journal={IEICE TRANSACTIONS on Electronics},
title={Periodic Fourier Transform and Its Application to Wave Scattering from a Finite Periodic Surface: Two-Dimensional Case},
year={2005},
volume={E88-C},
number={5},
pages={1025-1032},
abstract={In this paper, the previously introduced periodic Fourier transform concept is extended to a two-dimensional case. The relations between the periodic Fourier transform, harmonic series representation and Fourier integral representation are also discussed. As a simple application of the periodic Fourier transform, the scattering of a scalar wave from a finite periodic surface with weight is studied. It is shown that the scattered wave may have an extended Floquet form, which is physically considered as the sum of diffraction beams. By the small perturbation method, the first order solution is given explicitly and the scattering cross section is calculated.},
keywords={},
doi={10.1093/ietele/e88-c.5.1025},
ISSN={},
month={May},}

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TY - JOUR
TI - Periodic Fourier Transform and Its Application to Wave Scattering from a Finite Periodic Surface: Two-Dimensional Case
T2 - IEICE TRANSACTIONS on Electronics
SP - 1025
EP - 1032
AU - Junichi NAKAYAMA
PY - 2005
DO - 10.1093/ietele/e88-c.5.1025
JO - IEICE TRANSACTIONS on Electronics
SN -
VL - E88-C
IS - 5
JA - IEICE TRANSACTIONS on Electronics
Y1 - May 2005
AB - In this paper, the previously introduced periodic Fourier transform concept is extended to a two-dimensional case. The relations between the periodic Fourier transform, harmonic series representation and Fourier integral representation are also discussed. As a simple application of the periodic Fourier transform, the scattering of a scalar wave from a finite periodic surface with weight is studied. It is shown that the scattered wave may have an extended Floquet form, which is physically considered as the sum of diffraction beams. By the small perturbation method, the first order solution is given explicitly and the scattering cross section is calculated.
ER -