• Acta Optica Sinica
  • Vol. 45, Issue 7, 0713002 (2025)
Lin Zhang, Longqin Xie, Zihan Xiang, Zhongmao Cai..., Yatai Gao and Weifeng Jiang*|Show fewer author(s)
Author Affiliations
  • School of Automation, Nanjing University of Information Science & Technology, Jiangsu 210044, Nanjing , China
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    DOI: 10.3788/AOS241787 Cite this Article Set citation alerts
    Lin Zhang, Longqin Xie, Zihan Xiang, Zhongmao Cai, Yatai Gao, Weifeng Jiang. Design of Silicon Hybrid Multiplexer/Demultiplexer Based on Deep Neural Network[J]. Acta Optica Sinica, 2025, 45(7): 0713002 Copy Citation Text show less
    Silicon hybrid multiplexer/demultiplexer. (a) Schematic diagram; (b) structure parameters and material platform
    Fig. 1. Silicon hybrid multiplexer/demultiplexer. (a) Schematic diagram; (b) structure parameters and material platform
    Architecture of DNN-based inverse-design platform for silicon hybrid multiplexer/demultiplexer
    Fig. 2. Architecture of DNN-based inverse-design platform for silicon hybrid multiplexer/demultiplexer
    Optimization process of DNN model. (a) Relationship between the minimum validation loss and the number of neurons for different hidden layers when the epoch is 30000 times; (b) relationship between the number of epochs and validation loss
    Fig. 3. Optimization process of DNN model. (a) Relationship between the minimum validation loss and the number of neurons for different hidden layers when the epoch is 30000 times; (b) relationship between the number of epochs and validation loss
    Training results of neural network for inverse design: relationship between loss value and epoch
    Fig. 4. Training results of neural network for inverse design: relationship between loss value and epoch
    Propagating mode fields of inverse-designed silicon hybrid multiplexer/demultiplexer. (a) Inputting TM0 mode at port I1; (b) inputting TE0 mode at port I1; (c) inputting TE0 mode at port I2
    Fig. 5. Propagating mode fields of inverse-designed silicon hybrid multiplexer/demultiplexer. (a) Inputting TM0 mode at port I1; (b) inputting TE0 mode at port I1; (c) inputting TE0 mode at port I2
    Rlationships between transmission and operating wavelength of silicon hybrid multiplexer/demultiplexer
    Fig. 6. Rlationships between transmission and operating wavelength of silicon hybrid multiplexer/demultiplexer
    Relationships between transmission and operating wavelength of device for different fabrication tolerances. (a) Error is -5 nm; (b) error is +5 nm
    Fig. 7. Relationships between transmission and operating wavelength of device for different fabrication tolerances. (a) Error is -5 nm; (b) error is +5 nm
    Pictures of experimentally fabricated silicon chip. (a) Referenced PDM-link and waveguide; (b) silicon hybrid multiplexer/demultiplexer and MDM-link; (c) MDM-link; (d) functional region; (e) enlarged image of functional region
    Fig. 8. Pictures of experimentally fabricated silicon chip. (a) Referenced PDM-link and waveguide; (b) silicon hybrid multiplexer/demultiplexer and MDM-link; (c) MDM-link; (d) functional region; (e) enlarged image of functional region
    Normalized experimental results of silicon hybrid multiplexer for multiplexing/demultiplexing. (a) TM0 mode; (b) TE0 mode; (c) TE1 mode
    Fig. 9. Normalized experimental results of silicon hybrid multiplexer for multiplexing/demultiplexing. (a) TM0 mode; (b) TE0 mode; (c) TE1 mode
    Inverse-design results with different expected transmittances. (a) TTE1=0.5; (b) TTE1=0.7; (c) TTE1=0.9
    Fig. 10. Inverse-design results with different expected transmittances. (a) TTE1=0.5; (b) TTE1=0.7; (c) TTE1=0.9
    TypeYearModeIL /dBCT /dBBW /nmFootprint
    Adjoint method[22]2016TE0、TE1<1.2<-121002.6 μm×4.22 μm
    DBS[23]2018

    TE0、TE1

    TE0、TE1、TE2

    <1

    <2.5

    <-24

    <-19

    60

    2.4 μm×3 μm

    3.6 μm×4.8 μm

    PSO[24]2021TE0、TE1、TE2、TE3<4.73<15.1571Length>27 μm
    This work2024TM0、TE0、TE1<3.75<-16.261004.8 μm×2.56 μm
    Abbreviations: DBS, direct binary search; PSO, particle-swarm-optimized; IL, insertion loss; CT, crosstalk; BW, bandwidth.
    Table 1. Comparison of footprint and performance of silicon hybrid multiplexer/demultiplexers
    Lin Zhang, Longqin Xie, Zihan Xiang, Zhongmao Cai, Yatai Gao, Weifeng Jiang. Design of Silicon Hybrid Multiplexer/Demultiplexer Based on Deep Neural Network[J]. Acta Optica Sinica, 2025, 45(7): 0713002
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