In this paper, we reformulate a sensitivity analysis method for function-expansion-based topology optimization method without using gray area. In the conventional approach based on function expansion method, permittivity distribution contains gray materials, which are intermediate materials between core and cladding ones, so as to let the permittivity differentiable with respect to design variables. Since this approach using gray area dose not express material boundary exactly, it is not desirable to apply this approach to design problems of strongly guiding waveguide devices, especially for plasmonic waveguides. In this study, we present function-expansion-method-based topology optimization without gray area. In this approach, use of gray area can be avoided by replacing the area integral of the derivative of the matrix with the line integral taking into acount the rate of boundary deviation with respect to design variables. We verify the validity of our approach through applying it to design problems of a T-branching power splitter and a mode order converter.
Masato TOMIYASU
Muroran Institute of Technology
Keita MORIMOTO
Muroran Institute of Technology
Akito IGUCHI
Muroran Institute of Technology
Yasuhide TSUJI
Muroran Institute of Technology
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Masato TOMIYASU, Keita MORIMOTO, Akito IGUCHI, Yasuhide TSUJI, "A Study on Function-Expansion-Based Topology Optimization without Gray Area for Optimal Design of Photonic Devices" in IEICE TRANSACTIONS on Electronics,
vol. E103-C, no. 11, pp. 560-566, November 2020, doi: 10.1587/transele.2019ESP0005.
Abstract: In this paper, we reformulate a sensitivity analysis method for function-expansion-based topology optimization method without using gray area. In the conventional approach based on function expansion method, permittivity distribution contains gray materials, which are intermediate materials between core and cladding ones, so as to let the permittivity differentiable with respect to design variables. Since this approach using gray area dose not express material boundary exactly, it is not desirable to apply this approach to design problems of strongly guiding waveguide devices, especially for plasmonic waveguides. In this study, we present function-expansion-method-based topology optimization without gray area. In this approach, use of gray area can be avoided by replacing the area integral of the derivative of the matrix with the line integral taking into acount the rate of boundary deviation with respect to design variables. We verify the validity of our approach through applying it to design problems of a T-branching power splitter and a mode order converter.
URL: https://global.ieice.org/en_transactions/electronics/10.1587/transele.2019ESP0005/_p
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@ARTICLE{e103-c_11_560,
author={Masato TOMIYASU, Keita MORIMOTO, Akito IGUCHI, Yasuhide TSUJI, },
journal={IEICE TRANSACTIONS on Electronics},
title={A Study on Function-Expansion-Based Topology Optimization without Gray Area for Optimal Design of Photonic Devices},
year={2020},
volume={E103-C},
number={11},
pages={560-566},
abstract={In this paper, we reformulate a sensitivity analysis method for function-expansion-based topology optimization method without using gray area. In the conventional approach based on function expansion method, permittivity distribution contains gray materials, which are intermediate materials between core and cladding ones, so as to let the permittivity differentiable with respect to design variables. Since this approach using gray area dose not express material boundary exactly, it is not desirable to apply this approach to design problems of strongly guiding waveguide devices, especially for plasmonic waveguides. In this study, we present function-expansion-method-based topology optimization without gray area. In this approach, use of gray area can be avoided by replacing the area integral of the derivative of the matrix with the line integral taking into acount the rate of boundary deviation with respect to design variables. We verify the validity of our approach through applying it to design problems of a T-branching power splitter and a mode order converter.},
keywords={},
doi={10.1587/transele.2019ESP0005},
ISSN={1745-1353},
month={November},}
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TY - JOUR
TI - A Study on Function-Expansion-Based Topology Optimization without Gray Area for Optimal Design of Photonic Devices
T2 - IEICE TRANSACTIONS on Electronics
SP - 560
EP - 566
AU - Masato TOMIYASU
AU - Keita MORIMOTO
AU - Akito IGUCHI
AU - Yasuhide TSUJI
PY - 2020
DO - 10.1587/transele.2019ESP0005
JO - IEICE TRANSACTIONS on Electronics
SN - 1745-1353
VL - E103-C
IS - 11
JA - IEICE TRANSACTIONS on Electronics
Y1 - November 2020
AB - In this paper, we reformulate a sensitivity analysis method for function-expansion-based topology optimization method without using gray area. In the conventional approach based on function expansion method, permittivity distribution contains gray materials, which are intermediate materials between core and cladding ones, so as to let the permittivity differentiable with respect to design variables. Since this approach using gray area dose not express material boundary exactly, it is not desirable to apply this approach to design problems of strongly guiding waveguide devices, especially for plasmonic waveguides. In this study, we present function-expansion-method-based topology optimization without gray area. In this approach, use of gray area can be avoided by replacing the area integral of the derivative of the matrix with the line integral taking into acount the rate of boundary deviation with respect to design variables. We verify the validity of our approach through applying it to design problems of a T-branching power splitter and a mode order converter.
ER -