New boundary integral equations are proposed for two-port slab waveguides which satisfy single mode condition. The boundary integral equations are combined with the orthogonality of guided mode and non-guided field. They are solved by the standard boundary element method with no use of mode expansion technique. Reflection and transmission coefficients of guided mode are directly determined by the boundary element method. To validate the proposed method, step waveguides for TE wave incidence and triangular rib waveguides for TM wave incidence are investigated by numerical calculations.
Masahiro TANAKA
Gifu University
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Masahiro TANAKA, "Boundary Integral Equations Combined with Orthogonality of Modes for Analysis of Two-Dimensional Optical Slab Waveguide: Single Mode Waveguide" in IEICE TRANSACTIONS on Electronics,
vol. E104-C, no. 1, pp. 1-10, January 2021, doi: 10.1587/transele.2020ECP5004.
Abstract: New boundary integral equations are proposed for two-port slab waveguides which satisfy single mode condition. The boundary integral equations are combined with the orthogonality of guided mode and non-guided field. They are solved by the standard boundary element method with no use of mode expansion technique. Reflection and transmission coefficients of guided mode are directly determined by the boundary element method. To validate the proposed method, step waveguides for TE wave incidence and triangular rib waveguides for TM wave incidence are investigated by numerical calculations.
URL: https://global.ieice.org/en_transactions/electronics/10.1587/transele.2020ECP5004/_p
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@ARTICLE{e104-c_1_1,
author={Masahiro TANAKA, },
journal={IEICE TRANSACTIONS on Electronics},
title={Boundary Integral Equations Combined with Orthogonality of Modes for Analysis of Two-Dimensional Optical Slab Waveguide: Single Mode Waveguide},
year={2021},
volume={E104-C},
number={1},
pages={1-10},
abstract={New boundary integral equations are proposed for two-port slab waveguides which satisfy single mode condition. The boundary integral equations are combined with the orthogonality of guided mode and non-guided field. They are solved by the standard boundary element method with no use of mode expansion technique. Reflection and transmission coefficients of guided mode are directly determined by the boundary element method. To validate the proposed method, step waveguides for TE wave incidence and triangular rib waveguides for TM wave incidence are investigated by numerical calculations.},
keywords={},
doi={10.1587/transele.2020ECP5004},
ISSN={1745-1353},
month={January},}
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TY - JOUR
TI - Boundary Integral Equations Combined with Orthogonality of Modes for Analysis of Two-Dimensional Optical Slab Waveguide: Single Mode Waveguide
T2 - IEICE TRANSACTIONS on Electronics
SP - 1
EP - 10
AU - Masahiro TANAKA
PY - 2021
DO - 10.1587/transele.2020ECP5004
JO - IEICE TRANSACTIONS on Electronics
SN - 1745-1353
VL - E104-C
IS - 1
JA - IEICE TRANSACTIONS on Electronics
Y1 - January 2021
AB - New boundary integral equations are proposed for two-port slab waveguides which satisfy single mode condition. The boundary integral equations are combined with the orthogonality of guided mode and non-guided field. They are solved by the standard boundary element method with no use of mode expansion technique. Reflection and transmission coefficients of guided mode are directly determined by the boundary element method. To validate the proposed method, step waveguides for TE wave incidence and triangular rib waveguides for TM wave incidence are investigated by numerical calculations.
ER -