Analyses of Grating Couplers by Mode-Matching Method in the Sense of Least Squares
Summary :
A mode-matching method in the sense of least squares are proposed for analyzing grating coupler having a periodic groove structure of finite extent which is formed on the surface of the core region of the thin-film waveguide. The grating couplers are analyzed for the plane wave incidence when the Bragg condition is satisfied. The discussion is developed about the grating couplers formed on the asymmetric and symmetric waveguides. The approximate scattered fields of each region of the grating coupler are described by the superpositions of the plane waves with band-limited spectra, respectively. These approximate wave functions are determined by the minimization of the mean-square boundary residual. This method results in the simultaneous Fredholm type integral equations of the second kind for these spectra. Results of analyses based on the first order approximate solutions are presented. A comparison between our results and those of Green's function approach for grating couplers having rectangular, triangular and sinusoidal grooves of different depth is presented.
- Publication
- IEICE TRANSACTIONS on transactions Vol.E73-E No.4 pp.554-565
- Publication Date
- 1990/04/25
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- PAPER
- Category
- Electromagnetic Theory
Authors
Keyword
Latest Issue
Copyrights notice of machine-translated contents
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.
Cite this
Copy
Masaji TOMITA, "Analyses of Grating Couplers by Mode-Matching Method in the Sense of Least Squares" in IEICE TRANSACTIONS on transactions,
vol. E73-E, no. 4, pp. 554-565, April 1990, doi: .
Abstract: A mode-matching method in the sense of least squares are proposed for analyzing grating coupler having a periodic groove structure of finite extent which is formed on the surface of the core region of the thin-film waveguide. The grating couplers are analyzed for the plane wave incidence when the Bragg condition is satisfied. The discussion is developed about the grating couplers formed on the asymmetric and symmetric waveguides. The approximate scattered fields of each region of the grating coupler are described by the superpositions of the plane waves with band-limited spectra, respectively. These approximate wave functions are determined by the minimization of the mean-square boundary residual. This method results in the simultaneous Fredholm type integral equations of the second kind for these spectra. Results of analyses based on the first order approximate solutions are presented. A comparison between our results and those of Green's function approach for grating couplers having rectangular, triangular and sinusoidal grooves of different depth is presented.
URL: https://global.ieice.org/en_transactions/transactions/10.1587/e73-e_4_554/_p
Copy
@ARTICLE{e73-e_4_554,
author={Masaji TOMITA, },
journal={IEICE TRANSACTIONS on transactions},
title={Analyses of Grating Couplers by Mode-Matching Method in the Sense of Least Squares},
year={1990},
volume={E73-E},
number={4},
pages={554-565},
abstract={A mode-matching method in the sense of least squares are proposed for analyzing grating coupler having a periodic groove structure of finite extent which is formed on the surface of the core region of the thin-film waveguide. The grating couplers are analyzed for the plane wave incidence when the Bragg condition is satisfied. The discussion is developed about the grating couplers formed on the asymmetric and symmetric waveguides. The approximate scattered fields of each region of the grating coupler are described by the superpositions of the plane waves with band-limited spectra, respectively. These approximate wave functions are determined by the minimization of the mean-square boundary residual. This method results in the simultaneous Fredholm type integral equations of the second kind for these spectra. Results of analyses based on the first order approximate solutions are presented. A comparison between our results and those of Green's function approach for grating couplers having rectangular, triangular and sinusoidal grooves of different depth is presented.},
keywords={},
doi={},
ISSN={},
month={April},}
Copy
TY - JOUR
TI - Analyses of Grating Couplers by Mode-Matching Method in the Sense of Least Squares
T2 - IEICE TRANSACTIONS on transactions
SP - 554
EP - 565
AU - Masaji TOMITA
PY - 1990
DO -
JO - IEICE TRANSACTIONS on transactions
SN -
VL - E73-E
IS - 4
JA - IEICE TRANSACTIONS on transactions
Y1 - April 1990
AB - A mode-matching method in the sense of least squares are proposed for analyzing grating coupler having a periodic groove structure of finite extent which is formed on the surface of the core region of the thin-film waveguide. The grating couplers are analyzed for the plane wave incidence when the Bragg condition is satisfied. The discussion is developed about the grating couplers formed on the asymmetric and symmetric waveguides. The approximate scattered fields of each region of the grating coupler are described by the superpositions of the plane waves with band-limited spectra, respectively. These approximate wave functions are determined by the minimization of the mean-square boundary residual. This method results in the simultaneous Fredholm type integral equations of the second kind for these spectra. Results of analyses based on the first order approximate solutions are presented. A comparison between our results and those of Green's function approach for grating couplers having rectangular, triangular and sinusoidal grooves of different depth is presented.
ER -
English
