The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. ex. Some numerals are expressed as "XNUMX".
Copyrights notice
The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
Dalam makalah ini, kami merumuskan semula kaedah analisis sensitiviti untuk kaedah pengoptimuman topologi berasaskan pengembangan fungsi tanpa menggunakan kawasan kelabu. Dalam pendekatan konvensional berdasarkan kaedah pengembangan fungsi, taburan kebolehtelapan mengandungi bahan kelabu, yang merupakan bahan perantaraan antara teras dan pelapisan, supaya membiarkan kebolehtelapan boleh dibezakan berkenaan dengan pembolehubah reka bentuk. Memandangkan pendekatan ini menggunakan dos kawasan kelabu tidak menyatakan sempadan bahan dengan tepat, pendekatan ini tidak diingini untuk menggunakan pendekatan ini untuk mereka bentuk masalah peranti pandu gelombang yang sangat membimbing, terutamanya untuk pandu gelombang plasmonik. Dalam kajian ini, kami mempersembahkan pengoptimuman topologi berasaskan kaedah pengembangan-fungsi tanpa kawasan kelabu. Dalam pendekatan ini, penggunaan kawasan kelabu boleh dielakkan dengan menggantikan kamiran luas terbitan matriks dengan kamiran garis dengan mengambil kira kadar sisihan sempadan berkenaan dengan pembolehubah reka bentuk. Kami mengesahkan kesahihan pendekatan kami melalui penggunaannya untuk mereka bentuk masalah pembahagi kuasa cawangan T dan penukar pesanan mod.
Masato TOMIYASU
Muroran Institute of Technology
Keita MORIMOTO
Muroran Institute of Technology
Akito IGUCHI
Muroran Institute of Technology
Yasuhide TSUJI
Muroran Institute of Technology
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.
Salinan
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
Salinan
@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},}
Salinan
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 -