IEICE TRANSACTIONS on Fundamentals
Weak-Form Discretization, Waveguide Boundary Conditions and Extraction of Quasi-Localized Waves Causing Fano Resonance
Summary :
Recently, we proposed a weak-form discretization scheme to derive second-order difference equations from the governing equation of the scattering problem. In this paper, under the scope of the proposed scheme, numerical expressions for the waveguide boundary conditions are derived as perfectly absorbing conditions for input and output ports. The waveguide boundary conditions play an important role in extracting the quasi-localized wave as an eigenstate with a complex eigenvalue. The wave-number dependence of the resonance curve in Fano resonance is reproduced by using a semi-analytic model that is developed on the basis of the phase change relevant to the S-matrix. The reproduction confirms that the eigenstate with a complex eigenvalue does cause the observed Fano resonance.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E97-A No.8 pp.1720-1727
- Publication Date
- 2014/08/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.E97.A.1720
- Type of Manuscript
- PAPER
- Category
- Numerical Analysis and Optimization
Authors
Hatsuhiro KATO
University of Yamanashi
Hatsuyoshi KATO
Tomakomai National College of Technology
Keyword
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Hatsuhiro KATO, Hatsuyoshi KATO, "Weak-Form Discretization, Waveguide Boundary Conditions and Extraction of Quasi-Localized Waves Causing Fano Resonance" in IEICE TRANSACTIONS on Fundamentals,
vol. E97-A, no. 8, pp. 1720-1727, August 2014, doi: 10.1587/transfun.E97.A.1720.
Abstract: Recently, we proposed a weak-form discretization scheme to derive second-order difference equations from the governing equation of the scattering problem. In this paper, under the scope of the proposed scheme, numerical expressions for the waveguide boundary conditions are derived as perfectly absorbing conditions for input and output ports. The waveguide boundary conditions play an important role in extracting the quasi-localized wave as an eigenstate with a complex eigenvalue. The wave-number dependence of the resonance curve in Fano resonance is reproduced by using a semi-analytic model that is developed on the basis of the phase change relevant to the S-matrix. The reproduction confirms that the eigenstate with a complex eigenvalue does cause the observed Fano resonance.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E97.A.1720/_p
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@ARTICLE{e97-a_8_1720,
author={Hatsuhiro KATO, Hatsuyoshi KATO, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Weak-Form Discretization, Waveguide Boundary Conditions and Extraction of Quasi-Localized Waves Causing Fano Resonance},
year={2014},
volume={E97-A},
number={8},
pages={1720-1727},
abstract={Recently, we proposed a weak-form discretization scheme to derive second-order difference equations from the governing equation of the scattering problem. In this paper, under the scope of the proposed scheme, numerical expressions for the waveguide boundary conditions are derived as perfectly absorbing conditions for input and output ports. The waveguide boundary conditions play an important role in extracting the quasi-localized wave as an eigenstate with a complex eigenvalue. The wave-number dependence of the resonance curve in Fano resonance is reproduced by using a semi-analytic model that is developed on the basis of the phase change relevant to the S-matrix. The reproduction confirms that the eigenstate with a complex eigenvalue does cause the observed Fano resonance.},
keywords={},
doi={10.1587/transfun.E97.A.1720},
ISSN={1745-1337},
month={August},}
Copy
TY - JOUR
TI - Weak-Form Discretization, Waveguide Boundary Conditions and Extraction of Quasi-Localized Waves Causing Fano Resonance
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1720
EP - 1727
AU - Hatsuhiro KATO
AU - Hatsuyoshi KATO
PY - 2014
DO - 10.1587/transfun.E97.A.1720
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E97-A
IS - 8
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - August 2014
AB - Recently, we proposed a weak-form discretization scheme to derive second-order difference equations from the governing equation of the scattering problem. In this paper, under the scope of the proposed scheme, numerical expressions for the waveguide boundary conditions are derived as perfectly absorbing conditions for input and output ports. The waveguide boundary conditions play an important role in extracting the quasi-localized wave as an eigenstate with a complex eigenvalue. The wave-number dependence of the resonance curve in Fano resonance is reproduced by using a semi-analytic model that is developed on the basis of the phase change relevant to the S-matrix. The reproduction confirms that the eigenstate with a complex eigenvalue does cause the observed Fano resonance.
ER -
English
