• Laser & Optoelectronics Progress
  • Vol. 58, Issue 8, 0820001 (2021)
Yichen Sun, Mingli Dong*, Mingxin Yu**, Jiabin Xia, Xu Zhang, Yuchen Bai, Lidan Lu, and Lianqing Zhu
Author Affiliations
  • Key Laboratory of the Ministry of Education for Optoelectronic Measurement Technology and Instrument, Beijing Information Science and Technology University, Beijing 100192, China
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    DOI: 10.3788/LOP202158.0820001 Cite this Article Set citation alerts
    Yichen Sun, Mingli Dong, Mingxin Yu, Jiabin Xia, Xu Zhang, Yuchen Bai, Lidan Lu, Lianqing Zhu. Modeling Method of Miniaturized Nonlinear All-Optical Diffraction Deep Neural Network Based on 10.6 μm Wavelength[J]. Laser & Optoelectronics Progress, 2021, 58(8): 0820001 Copy Citation Text show less
    Dataset examples. (a) MNIST dataset; (b) Fashion-MNIST dataset
    Fig. 1. Dataset examples. (a) MNIST dataset; (b) Fashion-MNIST dataset
    Structural diagrams of nonlinear all-optical diffraction deep neural network. (a) Physical model of system; (b) optical path model; (c) neural network model
    Fig. 2. Structural diagrams of nonlinear all-optical diffraction deep neural network. (a) Physical model of system; (b) optical path model; (c) neural network model
    Mathematical models of different activation functions. (a) Leaky-ReLU and PReLU; (b) RReLU
    Fig. 3. Mathematical models of different activation functions. (a) Leaky-ReLU and PReLU; (b) RReLU
    Image label design
    Fig. 4. Image label design
    Output image of each layer of grating after training
    Fig. 5. Output image of each layer of grating after training
    Classification accuracy corresponding to each number of grating layers in MNIST dataset
    Fig. 6. Classification accuracy corresponding to each number of grating layers in MNIST dataset
    Classification accuracy of Fashion-MNIST dataset corresponding to each number of grating layers in Fashion-MNIST dataset
    Fig. 7. Classification accuracy of Fashion-MNIST dataset corresponding to each number of grating layers in Fashion-MNIST dataset
    Classification results of MNIST dataset by standard all-optical diffraction deep neural network. (a) Classification accuracy; (b) confusion matrix
    Fig. 8. Classification results of MNIST dataset by standard all-optical diffraction deep neural network. (a) Classification accuracy; (b) confusion matrix
    Classification results of Fashion-MNIST dataset by standard all-optical diffraction deep neural network. (a) Classification accuracy; (b) confusion matrix
    Fig. 9. Classification results of Fashion-MNIST dataset by standard all-optical diffraction deep neural network. (a) Classification accuracy; (b) confusion matrix
    Classification accuracies and confusion matrixes of MNIST dataset by all-optical diffraction deep neural networks with different activation functions. (a)(b) Leaky-ReLU; (c)(d) PReLU; (e)(f) RReLU
    Fig. 10. Classification accuracies and confusion matrixes of MNIST dataset by all-optical diffraction deep neural networks with different activation functions. (a)(b) Leaky-ReLU; (c)(d) PReLU; (e)(f) RReLU
    Recognition accuracy of each number in MNIST dataset by each all-optical diffraction deep neural network model
    Fig. 11. Recognition accuracy of each number in MNIST dataset by each all-optical diffraction deep neural network model
    Classification accuracies and confusion matrixes of Fashion-MNIST dataset by all-optical diffraction deep neural networks with different activation functions. (a)(b) Leaky-ReLU; (c)(d) PReLU; (e)(f) RReLU
    Fig. 12. Classification accuracies and confusion matrixes of Fashion-MNIST dataset by all-optical diffraction deep neural networks with different activation functions. (a)(b) Leaky-ReLU; (c)(d) PReLU; (e)(f) RReLU
    Recognition accuracy of each number in Fashion-MNIST dataset by each all-optical diffraction deep neural network model
    Fig. 13. Recognition accuracy of each number in Fashion-MNIST dataset by each all-optical diffraction deep neural network model
    Label numberCategory
    0T-shirt
    1Trousers
    2Pullover
    3Dress
    4Coat
    5Sandal
    6Shirt
    7Sneaker
    8Bag
    9Ankle boot
    Table 1. Label numbers and categories in Fashion-MNIST dataset
    Grating parameterValue
    Wavelength10.6 μm
    Cell size5 μm
    Grating spacing70λ
    Table 2. Physical parameters of neural network grating in MNIST dataset
    Training parameterValue
    Number of grating layers6
    Number of neurons per layer60×60
    Batch size100
    Epoch50
    Learning rate10-2
    Table 3. Neural network training parameters in MNIST dataset
    SpacingPixel size of 30×30Pixel size of 40×40Pixel size of 50×50Pixel size of 60×60Pixel size of 70×70
    30λ0.84270.86420.87360.86940.8664
    40λ0.82180.86230.87070.87440.8667
    50λ0.75450.86140.85940.87590.8712
    60λ0.64990.83270.87100.87140.8741
    70λ0.61900.83040.86830.87650.8696
    Table 4. Classification accuracy of MNIST dataset corresponding to each pixel size and diffraction grating spacing
    Grating parameterValue
    Wavelength10.6 μm
    Cell size5 μm
    Grating spacing30λ
    Table 5. Physical parameters of neural network grating in Fashion-MNIST dataset
    Training parameterValue
    Number of grating layers6
    Number of neurons per layer70×70
    Batch size100
    Epoch50
    Learning rate10-2
    Table 6. Neural network training parameters in Fashion-MNIST dataset
    SpacingPixel size of 30×30Pixel size of 40×40Pixel size of 50×50Pixel size of 60×60Pixel size of 70×70
    30λ0.70120.77970.79430.79690.7994
    40λ0.65690.75390.78820.79030.7947
    50λ0.61370.74190.76640.78490.7937
    60λ0.60980.74110.75740.78310.7935
    70λ0.60690.72460.75390.77350.7809
    Table 7. Classification accuracy of Fashion-MNIST dataset corresponding to each pixel size and diffraction grating spacing
    Activation functionAccuracy
    Leaky-ReLU0.9609
    PReLU0.9628
    RReLU0.9630
    Table 8. Classification accuracies of MNIST dataset by nonlinear all-optical diffraction deep neural networks with different activation functions
    Activation functionAccuracy
    Leaky-ReLU0.8717
    PReLU0.8736
    RReLU0.8743
    Table 9. Classification accuracies of Fashion-MNIST dataset by nonlinear all-optical diffraction deep neural networks with different activation functions
    Yichen Sun, Mingli Dong, Mingxin Yu, Jiabin Xia, Xu Zhang, Yuchen Bai, Lidan Lu, Lianqing Zhu. Modeling Method of Miniaturized Nonlinear All-Optical Diffraction Deep Neural Network Based on 10.6 μm Wavelength[J]. Laser & Optoelectronics Progress, 2021, 58(8): 0820001
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