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基于序列二次规划算法的超小尺寸微纳波长分束器的逆向设计

李家祥 王慧琴 徐和庆 张华 冯艳 董美彤

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基于序列二次规划算法的超小尺寸微纳波长分束器的逆向设计

李家祥, 王慧琴, 徐和庆, 张华, 冯艳, 董美彤

Reverse design of ultracompact micro-nano wavelength beam splitter based on quadratic programming algorithm

Li Jia-Xiang, Wang Hui-Qin, Xu He-Qing, Zhang Hua, Feng Yan, Dong Mei-Tong
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  • 微纳波长分束器是光子芯片中一种重要的分光器件. 本文运用序列二次规划智能算法, 设计了尺寸为1.5 μm × 1.5 μm的多个超小波长分束器, 其中Y型双通道分束器可同时实现TE/TM模式的双波长分束, TE模1140和1200 nm两波长的传输效率分别为80%和81%, 消光比分别为18.1和16.3 dB, TM模传输效率分别为70%和67%, 消光比为18.3和15.9 dB; T型分束器实现了光束的180°相向分离, 待分波长1100和1170 nm的传输效率均达到了88%, 消光比分别为16.6和15.0 dB, 是目前尺寸最小的片上波分器; 十字型三通道分束器实现了波长间隔为50 nm的分束, 待分波长1100, 1150和1200 nm传输效率分别为73%, 66%和70%, 消光比分别为17.2, 13.8和13.8 dB; 非对称三通道分束器分束波长间隔仅为20 nm, 待分波长1200, 1220和1240 nm的传输效率分别为61%, 56%和57%, 消光比分别为10.8, 7.9和8.9 dB. 本方法的设计周期短、设计效率高, 且所设计的结构简单、易加工, 本方法适用于多种片上集成元器件的设计, 为微纳片上集成光子器件的设计提供了一种新思路.
    Micro-nano wavelength beam splitter is an important beam-splitting device in photonic chips. In this study, the sequence quadratic program is used to design ultra-compact wavelength beam splitters with footprints of 1.5 μm × 1.5 μm. The Y-type dual channel beam splitter can realize TE/TM mode splitting at the same time, the transmissions of TE mode light at 1140 nm and 1200 nm are 80% and 81%, and the extinction ratios are 18.1 dB and 16.3 dB, respectively. The transmissions of TM mode light are 70% and 67%, and the extinction ratios are 18.3 dB and 15.9 dB, respectively. The T-type beam splitter realizes 180° separation angle splitting, and the transmissions of optical power at the wavelengths of 1100 nm and 1170 nm both reach 88%, and the extinction ratios are 16.6 dB and 15.0 dB, respectively. It is the smallest size chip-integrated wavelength beam splitter. The cross-type three-channel beam splitter realizes splitting with a wavelength interval of 50 nm. The transmissions at the wavelengths of 1100, 1150 and 1200 nm are 73%, 66% and 70%, and the extinction ratios are 17.2, 13.8 and 13.8 dB, respectively. The asymmetric three-channel beam splitter realizes splitting with the wavelength interval of 20 nm. The transmissions at the wavelengths of 1200, 1220 and 1240 nm are 61%, 56% and 57%, and the extinction ratios are 10.8, 7.9 and 8.9 dB, respectively. This method has the advantages of a short design period, high design efficiency, simple structure, easy processing, and suitability for designing chip-integrated photonic components. It is expected that it can provide a new idea for designing chip-integrated photonic devices.
      通信作者: 王慧琴, wanghq@sues.edu.cn
    • 基金项目: 上海工程技术大学高层次引进人才科研启动项目(批准号: 2023RC-GC09)和上海工程技术大学高水平地方高校建设创新人才培养项目(批准号: 23XSZ001)资助的课题.
      Corresponding author: Wang Hui-Qin, wanghq@sues.edu.cn
    • Funds: Project supported by the High-Level Local University Construction Innovative Talents Training Program of Shanghai University of Engineering Science, China (Grant No. 2023RC-GC09) and the High-Level Local University Construction Innovative Talents Training Project of Shanghai University of Engineering Science, China (Grant No. 23XSZ001).
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    Tanomura R, Tanemura T, Nakano Y 2023 Jpn. J. Appl. Phys. 62 SC1029Google Scholar

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    Li D D, Tang Y L, Zhao Y K, Zhou L, Zhao Y, Tang S B 2022 Photonics 9 527Google Scholar

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    Ammari M, Benmerkhi A, Bouchemat M 2022 Opt. Appl. 52 613Google Scholar

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    柯航, 李培丽, 施伟华 2022 物理学报 71 144204Google Scholar

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    Faghani A A, Rafiee Z, Amanzadeh H, Yaghoubi E, Yaghoubi E 2022 Optik 257 168824Google Scholar

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    Butt M A, Shahbaz M, Kozlowski L, Kazmierczak A, Piramidowicz R 2023 Photonics 10 208Google Scholar

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    Melati D, Xu D X, Cheriton R, Wang S R, Vachon M, Schmid J H, Cheben P, Janz S 2022 Opt. Express 30 14202Google Scholar

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    Butt M A, Kazanskiy N L, Khonina S N 2023 Plasmonics 18 635Google Scholar

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    汪静丽, 陈子玉, 陈鹤鸣 2021 物理学报 70 014202Google Scholar

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    黄辉, 胡晨岩, 田梓聪, 缪秋霞, 王慧琴 2021 物理学报 70 234102Google Scholar

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    Ma L F, Li J, Liu Z H, Zhang Y X, Zhang N N, Zheng S Q, Lu C C 2021 Chin. Opt. Lett. 19 011301Google Scholar

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    Su L, Piggott A Y, Sapra N V, Petykiewicz J, Vuckovic J 2018 ACS Photonics 5 301Google Scholar

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    Han J M, Huang J, Wu J G, Yang J B 2020 Opt. Commun. 465 125606Google Scholar

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    Rojas-Labanda S, Stolpe M 2016 Struct. Multidiscipl. Optim. 53 1315Google Scholar

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    Gu Q, Barbato M, Conte J P, Gill P E, McKenna F 2012 J. Struct. Eng. 138 822Google Scholar

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    Izmailov A F, Solodov M V 2011 Math. Program 126 231Google Scholar

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    Azizi D, Gholami A 2013 IEEE Electr. Insul. M. 29 69Google Scholar

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    Wang F L, Xu X, Zhang C, Sun C L, Zhao J 2022 IEEE Photonics J. 14 6621606Google Scholar

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    Yuan M W, Yang G, Song S J, Zhou L P, Minasian R, Yi X K 2022 Opt. Express 30 26201Google Scholar

  • 图 1  波分器的设计流程图 (a) 初始基片; (b) 优化结构; (c) 最终结构

    Fig. 1.  Design flow chart of the wave splitter: (a) Initial substrate; (b) optimized structure; (c) final structure.

    图 2  Y型双通道波分器 (a) 结构图; (b) TE模1140 nm的光场分布; (c) TE模1200 nm的光场分布; (d) TE模传输效率图; (e) TE模的消光比图; (f) TM模1140 nm的光场分布; (g) TM模1200 nm的光场分布; (h) TM模传输效率图; (i) TM模消光比图

    Fig. 2.  Y-type dual-channel wavelength beam splitter: (a) Structure; (b) optical field distribution at 1140 nm in TE mode; (c) optical field distribution at 1200 nm in TE mode; (d) transmission efficiency in TE mode; (e) extinction ratio in TE mode; (f) optical field distribution at 1140 nm in TM mode; (g) optical field distribution at 1200 nm in TM mode; (h) transmission efficiency in TM mode; (i) extinction ratio in TM mode.

    图 3  波导宽度对传输效率的影响

    Fig. 3.  Influence of the waveguide width on transmission efficiency.

    图 4  T型双通道波分器 (a) 结构图; (b) 1100 nm的光场分布; (c) 1170 nm的光场分布; (d) 传输效率图; (e) 消光比图

    Fig. 4.  T-type dual-channel wave beam splitter: (a) Structure; (b) optical field distribution at 1100 nm; (c) optical field distribution at 1170 nm; (d) transmission efficiency; (e) extinction ratio.

    图 5  十字型三通道波分器 (a) 结构图; (b) 1100 nm的光场分布; (c) 1150 nm的光场分布; (d) 1200 nm的光场分布; (e) 传输效率图; (f) 消光比

    Fig. 5.  Cross-type three-channel wavelength beam splitter: (a) Structure; (b) optical field distribution at 1100 nm; (c) optical field distribution at 1150 nm; (d) optical field distribution at 1200 nm; (e) transmission efficiency; (f) extinction ratio.

    图 6  不对称型结构三通道波分器 (a) 结构图; (b) 1200 nm的光场分布; (c) 1220 nm的光场分布; (d) 1240 nm的光场分布; (e) 传输效率图; (f) 消光比图

    Fig. 6.  Asymmetric structure three-channel wave splitter: (a) Structure; (b) optical field distribution at 1200 nm; (c) optical field distribution at 1220 nm; (d) optical field distribution at 1240 nm; (e) transmission efficiency; (f) extinction ratio.

  • [1]

    Yang Y, Huang H Y, Guo C S 2020 Opt. Express 28 14762Google Scholar

    [2]

    Mehrabi K, Zarifkar A, Miri M 2021 Opt. Commun. 479 126474Google Scholar

    [3]

    Tanomura R, Tanemura T, Nakano Y 2023 Jpn. J. Appl. Phys. 62 SC1029Google Scholar

    [4]

    Li D D, Tang Y L, Zhao Y K, Zhou L, Zhao Y, Tang S B 2022 Photonics 9 527Google Scholar

    [5]

    Ammari M, Benmerkhi A, Bouchemat M 2022 Opt. Appl. 52 613Google Scholar

    [6]

    柯航, 李培丽, 施伟华 2022 物理学报 71 144204Google Scholar

    Ke H, Li P L, Shi W H 2022 Acta Phys. Sin. 71 144204Google Scholar

    [7]

    Faghani A A, Rafiee Z, Amanzadeh H, Yaghoubi E, Yaghoubi E 2022 Optik 257 168824Google Scholar

    [8]

    Butt M A, Shahbaz M, Kozlowski L, Kazmierczak A, Piramidowicz R 2023 Photonics 10 208Google Scholar

    [9]

    Melati D, Xu D X, Cheriton R, Wang S R, Vachon M, Schmid J H, Cheben P, Janz S 2022 Opt. Express 30 14202Google Scholar

    [10]

    Butt M A, Kazanskiy N L, Khonina S N 2023 Plasmonics 18 635Google Scholar

    [11]

    汪静丽, 陈子玉, 陈鹤鸣 2021 物理学报 70 014202Google Scholar

    Wang J L, Chen Z Y, Chen H M 2021 Acta Phys. Sin. 70 014202Google Scholar

    [12]

    Andonegui I, Calvo I, Garcia-Adeva A J 2014 Appl. Phys. A 115 433Google Scholar

    [13]

    张佳, 徐旭明, 何灵娟, 于天宝, 郭浩 2012 物理学报 61 054213Google Scholar

    Zhang J, Xu X M, He L J, Yu T B, Guo H 2012 Acta Phys. Sin. 61 054213Google Scholar

    [14]

    Shen B, Wang P, Polson R, Menon R 2015 Nat. Photonics 9 378Google Scholar

    [15]

    Huang J, Yang J B, Chen D B, Bai W, Han J M, Zhang Z J, Zhang J J, He X, Han Y X, Liang L M 2020 Nanophotonics 9 159Google Scholar

    [16]

    Wang K Y, Ren X S, Chang W J, Lu L H, Liu D M, Zhang M M 2020 Photonics Res. 8 528Google Scholar

    [17]

    Liu Z H, Liu X H, Xiao Z Y, Lu C C, Wang H Q, Wu Y, Hu X Y, Liu Y C, Zhang H Y, Zhang X D 2019 Optica 6 1367Google Scholar

    [18]

    Huang H, Xu H Q, Wang H Q, Feng Y, Zhang H, Li J X 2022 Opt. Eng. 61 015105Google Scholar

    [19]

    黄辉, 胡晨岩, 田梓聪, 缪秋霞, 王慧琴 2021 物理学报 70 234102Google Scholar

    Huang H, Hu C Y, Tian Z C, Miu Q X, Wang H Q 2021 Acta Phys. Sin. 70 234102Google Scholar

    [20]

    Lu J, Vuckovic J 2012 Opt. Express 20 7221Google Scholar

    [21]

    Qi H X, Du Z C, Hu X Y, Yang J Y, Chu S S, Gong Q H 2022 Opto. Electron. 5 210061Google Scholar

    [22]

    Piggott A Y, Lu J, Lagoudakis K G, Petykiewicz J, Babinec T M, Vuckovic J 2015 Nat. Photonics 9 374Google Scholar

    [23]

    Ma L F, Li J, Liu Z H, Zhang Y X, Zhang N N, Zheng S Q, Lu C C 2021 Chin. Opt. Lett. 19 011301Google Scholar

    [24]

    Su L, Piggott A Y, Sapra N V, Petykiewicz J, Vuckovic J 2018 ACS Photonics 5 301Google Scholar

    [25]

    Han J M, Huang J, Wu J G, Yang J B 2020 Opt. Commun. 465 125606Google Scholar

    [26]

    Yilmaz Y A, Alpkilic A M, Yeltik A, Kurt H 2020 Opt. Commun. 454 124522Google Scholar

    [27]

    Yuan H, Huang J, Wang Z H, Zhang J P, Deng Y, Lin G L, Wu J G, Yang J B 2021 Results Phys. 27 104489Google Scholar

    [28]

    Rojas-Labanda S, Stolpe M 2016 Struct. Multidiscipl. Optim. 53 1315Google Scholar

    [29]

    Gu Q, Barbato M, Conte J P, Gill P E, McKenna F 2012 J. Struct. Eng. 138 822Google Scholar

    [30]

    Izmailov A F, Solodov M V 2011 Math. Program 126 231Google Scholar

    [31]

    Azizi D, Gholami A 2013 IEEE Electr. Insul. M. 29 69Google Scholar

    [32]

    Wang F L, Xu X, Zhang C, Sun C L, Zhao J 2022 IEEE Photonics J. 14 6621606Google Scholar

    [33]

    Yuan M W, Yang G, Song S J, Zhou L P, Minasian R, Yi X K 2022 Opt. Express 30 26201Google Scholar

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出版历程
  • 收稿日期:  2023-05-30
  • 修回日期:  2023-08-07
  • 上网日期:  2023-08-08
  • 刊出日期:  2023-10-05

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