Computational Methods for Surface Relief Gratings Using Electric and Magnetic Flux Expansions
Summary :
The relative permittivity and permeability are discontinuous at the grating profile, and the electric and magnetic flux densities are continuous. As for the method of analysis for scattering waves by surface relief gratings placed in conical mounting, the spatial harmonic expansion approach of the flux densities are formulated in detail and the validity of the approach is shown numerically. The present method is effective for uniform regions such as air and substrate in addition to grating layer. The matrix formulations are introduced by using numerical calculations of the matrix eigenvalue problem in the grating region and analytical solutions separated for TE and TM waves in the uniform region are described. Some numerical examples for linearly and circularly polarized incidence show the usefulness of the flux densities expansion approach.
- Publication
- IEICE TRANSACTIONS on Electronics Vol.E88-C No.12 pp.2192-2198
- Publication Date
- 2005/12/01
- Publicized
- Online ISSN
- DOI
- 10.1093/ietele/e88-c.12.2192
- Type of Manuscript
- Special Section PAPER (Special Section on Wireless Technologies and Computational Electromagnetics)
- Category
- EM Analysis
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Keyword
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Minoru KOMATSU, Hideaki WAKABAYASHI, Jiro YAMAKITA, "Computational Methods for Surface Relief Gratings Using Electric and Magnetic Flux Expansions" in IEICE TRANSACTIONS on Electronics,
vol. E88-C, no. 12, pp. 2192-2198, December 2005, doi: 10.1093/ietele/e88-c.12.2192.
Abstract: The relative permittivity and permeability are discontinuous at the grating profile, and the electric and magnetic flux densities are continuous. As for the method of analysis for scattering waves by surface relief gratings placed in conical mounting, the spatial harmonic expansion approach of the flux densities are formulated in detail and the validity of the approach is shown numerically. The present method is effective for uniform regions such as air and substrate in addition to grating layer. The matrix formulations are introduced by using numerical calculations of the matrix eigenvalue problem in the grating region and analytical solutions separated for TE and TM waves in the uniform region are described. Some numerical examples for linearly and circularly polarized incidence show the usefulness of the flux densities expansion approach.
URL: https://global.ieice.org/en_transactions/electronics/10.1093/ietele/e88-c.12.2192/_p
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@ARTICLE{e88-c_12_2192,
author={Minoru KOMATSU, Hideaki WAKABAYASHI, Jiro YAMAKITA, },
journal={IEICE TRANSACTIONS on Electronics},
title={Computational Methods for Surface Relief Gratings Using Electric and Magnetic Flux Expansions},
year={2005},
volume={E88-C},
number={12},
pages={2192-2198},
abstract={The relative permittivity and permeability are discontinuous at the grating profile, and the electric and magnetic flux densities are continuous. As for the method of analysis for scattering waves by surface relief gratings placed in conical mounting, the spatial harmonic expansion approach of the flux densities are formulated in detail and the validity of the approach is shown numerically. The present method is effective for uniform regions such as air and substrate in addition to grating layer. The matrix formulations are introduced by using numerical calculations of the matrix eigenvalue problem in the grating region and analytical solutions separated for TE and TM waves in the uniform region are described. Some numerical examples for linearly and circularly polarized incidence show the usefulness of the flux densities expansion approach.},
keywords={},
doi={10.1093/ietele/e88-c.12.2192},
ISSN={},
month={December},}
Copy
TY - JOUR
TI - Computational Methods for Surface Relief Gratings Using Electric and Magnetic Flux Expansions
T2 - IEICE TRANSACTIONS on Electronics
SP - 2192
EP - 2198
AU - Minoru KOMATSU
AU - Hideaki WAKABAYASHI
AU - Jiro YAMAKITA
PY - 2005
DO - 10.1093/ietele/e88-c.12.2192
JO - IEICE TRANSACTIONS on Electronics
SN -
VL - E88-C
IS - 12
JA - IEICE TRANSACTIONS on Electronics
Y1 - December 2005
AB - The relative permittivity and permeability are discontinuous at the grating profile, and the electric and magnetic flux densities are continuous. As for the method of analysis for scattering waves by surface relief gratings placed in conical mounting, the spatial harmonic expansion approach of the flux densities are formulated in detail and the validity of the approach is shown numerically. The present method is effective for uniform regions such as air and substrate in addition to grating layer. The matrix formulations are introduced by using numerical calculations of the matrix eigenvalue problem in the grating region and analytical solutions separated for TE and TM waves in the uniform region are described. Some numerical examples for linearly and circularly polarized incidence show the usefulness of the flux densities expansion approach.
ER -
English
