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".
Copyrights notice
The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
이 논문은 주기 격자에 의한 평면파 회절에 대한 새로운 공식을 다루고 있습니다. 간단한 예로, 직사각형 홈의 완벽하게 전도성인 주기적 배열에 의한 횡자기파의 회절이 논의됩니다. 본 논문에서는 낮은 입사각도에서 반사계수 -1로 회절은 일어나지 않고 반사만 일어난다는 그림자 가설을 바탕으로 산란인자를 새로운 개념으로 제안한다. 산란 인자의 관점에서 회절 진폭, 회절 효율 및 광학 정리에 대한 몇 가지 새로운 공식이 얻어집니다. 상반성에 의해 산란인자가 짝수 함수라는 것이 새롭게 밝혀졌습니다. 회절 효율은 전파되는 입사파와 소멸되는 입사파에 대해 정의됩니다. 그러면 실제 입사각이 low grazing이 되면 0차 회절 효율은 XNUMX이 되고 다른 차수 회절 효율은 사라지는 것을 이론적으로 알 수 있다. 산란 인자와 회절 효율의 수치적 예가 그림에 나와 있습니다.
회절 격자, 그림자 가설, 수정된 플로케 양식, 산란 인자, 회절 효율
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Junichi NAKAYAMA, "Shadow Theory of Diffraction Grating" in IEICE TRANSACTIONS on Electronics,
vol. E92-C, no. 1, pp. 17-24, January 2009, doi: 10.1587/transele.E92.C.17.
Abstract: This paper deals with a new formulation for the diffraction of a plane wave by a periodic grating. As a simple example, the diffraction of a transverse magnetic wave by a perfectly conductive periodic array of rectangular grooves is discussed. On the basis of a shadow hypothesis such that no diffraction takes place and only the reflection occurs with the reflection coefficient -1 at a low grazing limit of incident angle, this paper proposes the scattering factor as a new concept. In terms of the scattering factor, several new formulas on the diffraction amplitude, the diffraction efficiency and the optical theorem are obtained. It is newly found that the scattering factor is an even function due to the reciprocity. The diffraction efficiency is defined for a propagating incident wave as well as an evanescent incident wave. Then, it is theoretically found that the 0th order diffraction efficiency becomes unity and any other order diffraction efficiencies vanish when a real angle of incidence becomes low grazing. Numerical examples of the scattering factor and diffraction efficiency are illustrated in figures.
URL: https://global.ieice.org/en_transactions/electronics/10.1587/transele.E92.C.17/_p
부
@ARTICLE{e92-c_1_17,
author={Junichi NAKAYAMA, },
journal={IEICE TRANSACTIONS on Electronics},
title={Shadow Theory of Diffraction Grating},
year={2009},
volume={E92-C},
number={1},
pages={17-24},
abstract={This paper deals with a new formulation for the diffraction of a plane wave by a periodic grating. As a simple example, the diffraction of a transverse magnetic wave by a perfectly conductive periodic array of rectangular grooves is discussed. On the basis of a shadow hypothesis such that no diffraction takes place and only the reflection occurs with the reflection coefficient -1 at a low grazing limit of incident angle, this paper proposes the scattering factor as a new concept. In terms of the scattering factor, several new formulas on the diffraction amplitude, the diffraction efficiency and the optical theorem are obtained. It is newly found that the scattering factor is an even function due to the reciprocity. The diffraction efficiency is defined for a propagating incident wave as well as an evanescent incident wave. Then, it is theoretically found that the 0th order diffraction efficiency becomes unity and any other order diffraction efficiencies vanish when a real angle of incidence becomes low grazing. Numerical examples of the scattering factor and diffraction efficiency are illustrated in figures.},
keywords={},
doi={10.1587/transele.E92.C.17},
ISSN={1745-1353},
month={January},}
부
TY - JOUR
TI - Shadow Theory of Diffraction Grating
T2 - IEICE TRANSACTIONS on Electronics
SP - 17
EP - 24
AU - Junichi NAKAYAMA
PY - 2009
DO - 10.1587/transele.E92.C.17
JO - IEICE TRANSACTIONS on Electronics
SN - 1745-1353
VL - E92-C
IS - 1
JA - IEICE TRANSACTIONS on Electronics
Y1 - January 2009
AB - This paper deals with a new formulation for the diffraction of a plane wave by a periodic grating. As a simple example, the diffraction of a transverse magnetic wave by a perfectly conductive periodic array of rectangular grooves is discussed. On the basis of a shadow hypothesis such that no diffraction takes place and only the reflection occurs with the reflection coefficient -1 at a low grazing limit of incident angle, this paper proposes the scattering factor as a new concept. In terms of the scattering factor, several new formulas on the diffraction amplitude, the diffraction efficiency and the optical theorem are obtained. It is newly found that the scattering factor is an even function due to the reciprocity. The diffraction efficiency is defined for a propagating incident wave as well as an evanescent incident wave. Then, it is theoretically found that the 0th order diffraction efficiency becomes unity and any other order diffraction efficiencies vanish when a real angle of incidence becomes low grazing. Numerical examples of the scattering factor and diffraction efficiency are illustrated in figures.
ER -