Method of Image Green's Function in Grating Theory: Extinction Error Field
Summary :
This paper deals with an integral equation method for analyzing the diffraction of a transverse magnetic (TM) plane wave by a perfectly conductive periodic surface. In the region below the periodic surface, the extinction theorem holds, and the total field vanishes if the field solution is determined exactly. For an approximate solution, the extinction theorem does not hold but an extinction error field appears. By use of an image Green's function, new formulae are given for the extinction error field and the mean square extinction error (MSEE), which may be useful as a validity criterion. Numerical examples are given to demonstrate that the formulae work practically even at a critical angle of incidence.
- Publication
- IEICE TRANSACTIONS on Electronics Vol.E97-C No.1 pp.40-44
- Publication Date
- 2014/01/01
- Publicized
- Online ISSN
- 1745-1353
- DOI
- 10.1587/transele.E97.C.40
- Type of Manuscript
- BRIEF PAPER
- Category
- Periodic Structures
Authors
Junichi NAKAYAMA
Kyoto Institute of Technology
Yasuhiko TAMURA
Kyoto Institute of Technology
Keyword
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Junichi NAKAYAMA, Yasuhiko TAMURA, "Method of Image Green's Function in Grating Theory: Extinction Error Field" in IEICE TRANSACTIONS on Electronics,
vol. E97-C, no. 1, pp. 40-44, January 2014, doi: 10.1587/transele.E97.C.40.
Abstract: This paper deals with an integral equation method for analyzing the diffraction of a transverse magnetic (TM) plane wave by a perfectly conductive periodic surface. In the region below the periodic surface, the extinction theorem holds, and the total field vanishes if the field solution is determined exactly. For an approximate solution, the extinction theorem does not hold but an extinction error field appears. By use of an image Green's function, new formulae are given for the extinction error field and the mean square extinction error (MSEE), which may be useful as a validity criterion. Numerical examples are given to demonstrate that the formulae work practically even at a critical angle of incidence.
URL: https://global.ieice.org/en_transactions/electronics/10.1587/transele.E97.C.40/_p
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@ARTICLE{e97-c_1_40,
author={Junichi NAKAYAMA, Yasuhiko TAMURA, },
journal={IEICE TRANSACTIONS on Electronics},
title={Method of Image Green's Function in Grating Theory: Extinction Error Field},
year={2014},
volume={E97-C},
number={1},
pages={40-44},
abstract={This paper deals with an integral equation method for analyzing the diffraction of a transverse magnetic (TM) plane wave by a perfectly conductive periodic surface. In the region below the periodic surface, the extinction theorem holds, and the total field vanishes if the field solution is determined exactly. For an approximate solution, the extinction theorem does not hold but an extinction error field appears. By use of an image Green's function, new formulae are given for the extinction error field and the mean square extinction error (MSEE), which may be useful as a validity criterion. Numerical examples are given to demonstrate that the formulae work practically even at a critical angle of incidence.},
keywords={},
doi={10.1587/transele.E97.C.40},
ISSN={1745-1353},
month={January},}
Copy
TY - JOUR
TI - Method of Image Green's Function in Grating Theory: Extinction Error Field
T2 - IEICE TRANSACTIONS on Electronics
SP - 40
EP - 44
AU - Junichi NAKAYAMA
AU - Yasuhiko TAMURA
PY - 2014
DO - 10.1587/transele.E97.C.40
JO - IEICE TRANSACTIONS on Electronics
SN - 1745-1353
VL - E97-C
IS - 1
JA - IEICE TRANSACTIONS on Electronics
Y1 - January 2014
AB - This paper deals with an integral equation method for analyzing the diffraction of a transverse magnetic (TM) plane wave by a perfectly conductive periodic surface. In the region below the periodic surface, the extinction theorem holds, and the total field vanishes if the field solution is determined exactly. For an approximate solution, the extinction theorem does not hold but an extinction error field appears. By use of an image Green's function, new formulae are given for the extinction error field and the mean square extinction error (MSEE), which may be useful as a validity criterion. Numerical examples are given to demonstrate that the formulae work practically even at a critical angle of incidence.
ER -
English
