Analysis of Low Grazing Scattering by Dielectric Gratings in Conical Mounting Using Scattering Factors

Hideaki WAKABAYASHI; Masamitsu ASAI; Keiji MATSUMOTO; Jiro YAMAKITA

doi:10.1587/transele.E97.C.50

Analysis of Low Grazing Scattering by Dielectric Gratings in Conical Mounting Using Scattering Factors

Hideaki WAKABAYASHI, Masamitsu ASAI, Keiji MATSUMOTO, Jiro YAMAKITA

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In the shadow theory, a new description and a physical mean at a low grazing limit of incidence on gratings in the two dimensional scattering problem have been discussed. In this paper, by applying the shadow theory to the three dimensional problem of multilayered dielectric periodic gratings, we formulate the oblique primary excitation and introduce the scattering factors through our analytical method, by use of the matrix eigenvalues. In terms of the scattering factors, the diffraction efficiencies are defined for propagating and evanescent waves with linearly and circularly polarized incident waves. Numerical examples show that when an incident angle becomes low grazing, only specular reflection occurs with the reflection coefficient -1, regardless of the incident polarization. It is newly found that in a circularly polarized incidence case, the same circularly polarized wave as the incident wave is specularly reflected at a low grazing limit.

Publication: IEICE TRANSACTIONS on Electronics Vol.E97-C No.1 pp.50-57

Publication Date: 2014/01/01

Publicized

Online ISSN: 1745-1353

DOI: 10.1587/transele.E97.C.50

Type of Manuscript: PAPER

Category: Electromagnetic Theory

Authors

Hideaki WAKABAYASHI
  Okayama Prefectural University
Masamitsu ASAI
  Kinki University
Keiji MATSUMOTO
  Osaka Sangyo University
Jiro YAMAKITA
  Okayama Prefectural University

Keyword

dielectric gratings, conical mounting, scattering factor, matrix eigenvalues, Jordan normal form

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Hideaki WAKABAYASHI, Masamitsu ASAI, Keiji MATSUMOTO, Jiro YAMAKITA, "Analysis of Low Grazing Scattering by Dielectric Gratings in Conical Mounting Using Scattering Factors" in IEICE TRANSACTIONS on Electronics, vol. E97-C, no. 1, pp. 50-57, January 2014, doi: 10.1587/transele.E97.C.50.
Abstract: In the shadow theory, a new description and a physical mean at a low grazing limit of incidence on gratings in the two dimensional scattering problem have been discussed. In this paper, by applying the shadow theory to the three dimensional problem of multilayered dielectric periodic gratings, we formulate the oblique primary excitation and introduce the scattering factors through our analytical method, by use of the matrix eigenvalues. In terms of the scattering factors, the diffraction efficiencies are defined for propagating and evanescent waves with linearly and circularly polarized incident waves. Numerical examples show that when an incident angle becomes low grazing, only specular reflection occurs with the reflection coefficient -1, regardless of the incident polarization. It is newly found that in a circularly polarized incidence case, the same circularly polarized wave as the incident wave is specularly reflected at a low grazing limit.
URL: https://globals.ieice.org/en_transactions/electronics/10.1587/transele.E97.C.50/_p

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@ARTICLE{e97-c_1_50,
author={Hideaki WAKABAYASHI, Masamitsu ASAI, Keiji MATSUMOTO, Jiro YAMAKITA, },
journal={IEICE TRANSACTIONS on Electronics},
title={Analysis of Low Grazing Scattering by Dielectric Gratings in Conical Mounting Using Scattering Factors},
year={2014},
volume={E97-C},
number={1},
pages={50-57},
abstract={In the shadow theory, a new description and a physical mean at a low grazing limit of incidence on gratings in the two dimensional scattering problem have been discussed. In this paper, by applying the shadow theory to the three dimensional problem of multilayered dielectric periodic gratings, we formulate the oblique primary excitation and introduce the scattering factors through our analytical method, by use of the matrix eigenvalues. In terms of the scattering factors, the diffraction efficiencies are defined for propagating and evanescent waves with linearly and circularly polarized incident waves. Numerical examples show that when an incident angle becomes low grazing, only specular reflection occurs with the reflection coefficient -1, regardless of the incident polarization. It is newly found that in a circularly polarized incidence case, the same circularly polarized wave as the incident wave is specularly reflected at a low grazing limit.},
keywords={},
doi={10.1587/transele.E97.C.50},
ISSN={1745-1353},
month={January},}

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TY - JOUR
TI - Analysis of Low Grazing Scattering by Dielectric Gratings in Conical Mounting Using Scattering Factors
T2 - IEICE TRANSACTIONS on Electronics
SP - 50
EP - 57
AU - Hideaki WAKABAYASHI
AU - Masamitsu ASAI
AU - Keiji MATSUMOTO
AU - Jiro YAMAKITA
PY - 2014
DO - 10.1587/transele.E97.C.50
JO - IEICE TRANSACTIONS on Electronics
SN - 1745-1353
VL - E97-C
IS - 1
JA - IEICE TRANSACTIONS on Electronics
Y1 - January 2014
AB - In the shadow theory, a new description and a physical mean at a low grazing limit of incidence on gratings in the two dimensional scattering problem have been discussed. In this paper, by applying the shadow theory to the three dimensional problem of multilayered dielectric periodic gratings, we formulate the oblique primary excitation and introduce the scattering factors through our analytical method, by use of the matrix eigenvalues. In terms of the scattering factors, the diffraction efficiencies are defined for propagating and evanescent waves with linearly and circularly polarized incident waves. Numerical examples show that when an incident angle becomes low grazing, only specular reflection occurs with the reflection coefficient -1, regardless of the incident polarization. It is newly found that in a circularly polarized incidence case, the same circularly polarized wave as the incident wave is specularly reflected at a low grazing limit.
ER -