Analyses of Grating Couplers with Various Groove Shapes
Summary :
A mode-matching method in the sense of least squares is applied for analyzing grating couplers having various groove shapes. These couplers are formed on surfaces of core regions of the thin-film waveguides and their periodic parts extend finitely. The grating couplers are analyzed for the plane wave incidence when the Bragg condition is satisfied. The discussion is developed about the grating coupler which is formed on the asymmetric waveguide and has arbitrary triangular grooves. However various couplers, which have triangular, rectangular and sinusoidal grooves and are formed on asymmetric and symmetric waveguides, are analyzed and results for them are presented in this paper. The approximate scattered fields of each region of the 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. The comparison between each coupling efficiency derived by the present method for couplers having sinusoidal, triangular and rectangular grooves is presented in this paper.
- Publication
- IEICE TRANSACTIONS on Electronics Vol.E74-C No.9 pp.2827-2838
- Publication Date
- 1991/09/25
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- Special Section PAPER (Special Issue on OFSET '90)
- Category
- Grating
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Masaji TOMITA, "Analyses of Grating Couplers with Various Groove Shapes" in IEICE TRANSACTIONS on Electronics,
vol. E74-C, no. 9, pp. 2827-2838, September 1991, doi: .
Abstract: A mode-matching method in the sense of least squares is applied for analyzing grating couplers having various groove shapes. These couplers are formed on surfaces of core regions of the thin-film waveguides and their periodic parts extend finitely. The grating couplers are analyzed for the plane wave incidence when the Bragg condition is satisfied. The discussion is developed about the grating coupler which is formed on the asymmetric waveguide and has arbitrary triangular grooves. However various couplers, which have triangular, rectangular and sinusoidal grooves and are formed on asymmetric and symmetric waveguides, are analyzed and results for them are presented in this paper. The approximate scattered fields of each region of the 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. The comparison between each coupling efficiency derived by the present method for couplers having sinusoidal, triangular and rectangular grooves is presented in this paper.
URL: https://global.ieice.org/en_transactions/electronics/10.1587/e74-c_9_2827/_p
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@ARTICLE{e74-c_9_2827,
author={Masaji TOMITA, },
journal={IEICE TRANSACTIONS on Electronics},
title={Analyses of Grating Couplers with Various Groove Shapes},
year={1991},
volume={E74-C},
number={9},
pages={2827-2838},
abstract={A mode-matching method in the sense of least squares is applied for analyzing grating couplers having various groove shapes. These couplers are formed on surfaces of core regions of the thin-film waveguides and their periodic parts extend finitely. The grating couplers are analyzed for the plane wave incidence when the Bragg condition is satisfied. The discussion is developed about the grating coupler which is formed on the asymmetric waveguide and has arbitrary triangular grooves. However various couplers, which have triangular, rectangular and sinusoidal grooves and are formed on asymmetric and symmetric waveguides, are analyzed and results for them are presented in this paper. The approximate scattered fields of each region of the 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. The comparison between each coupling efficiency derived by the present method for couplers having sinusoidal, triangular and rectangular grooves is presented in this paper.},
keywords={},
doi={},
ISSN={},
month={September},}
Copy
TY - JOUR
TI - Analyses of Grating Couplers with Various Groove Shapes
T2 - IEICE TRANSACTIONS on Electronics
SP - 2827
EP - 2838
AU - Masaji TOMITA
PY - 1991
DO -
JO - IEICE TRANSACTIONS on Electronics
SN -
VL - E74-C
IS - 9
JA - IEICE TRANSACTIONS on Electronics
Y1 - September 1991
AB - A mode-matching method in the sense of least squares is applied for analyzing grating couplers having various groove shapes. These couplers are formed on surfaces of core regions of the thin-film waveguides and their periodic parts extend finitely. The grating couplers are analyzed for the plane wave incidence when the Bragg condition is satisfied. The discussion is developed about the grating coupler which is formed on the asymmetric waveguide and has arbitrary triangular grooves. However various couplers, which have triangular, rectangular and sinusoidal grooves and are formed on asymmetric and symmetric waveguides, are analyzed and results for them are presented in this paper. The approximate scattered fields of each region of the 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. The comparison between each coupling efficiency derived by the present method for couplers having sinusoidal, triangular and rectangular grooves is presented in this paper.
ER -
English
