The search functionality is under construction.

The search functionality is under construction.

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.

- Publication
- IEICE TRANSACTIONS on Electronics Vol.E92-C No.1 pp.17-24

- Publication Date
- 2009/01/01

- Publicized

- Online ISSN
- 1745-1353

- DOI
- 10.1587/transele.E92.C.17

- Type of Manuscript
- Special Section PAPER (Special Section on Recent Progress in Electromagnetic Theory and its Application)

- Category

The copyright of the original papers published on this site belongs to IEICE. Unauthorized use of the original or translated papers is prohibited. See IEICE Provisions on Copyright for details.

Copy

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

Copy

@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},}

Copy

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 -