• Photonics Research
  • Vol. 9, Issue 8, 1607 (2021)
Weichao Kong1、†, Jun Chen2、†, Zengxin Huang1, and Dengfeng Kuang1、*
Author Affiliations
  • 1Tianjin Key Laboratory of Micro-scale Optical Information Science and Technology, and Institute of Modern Optics, Nankai University, Tianjin 300350, China
  • 2College of Physics and Electronic Engineering, Taishan University, Taian 271000, China
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    DOI: 10.1364/PRJ.428425 Cite this Article Set citation alerts
    Weichao Kong, Jun Chen, Zengxin Huang, Dengfeng Kuang. Bidirectional cascaded deep neural networks with a pretrained autoencoder for dielectric metasurfaces[J]. Photonics Research, 2021, 9(8): 1607 Copy Citation Text show less
    Generation process of database. (a) Association of 100 meta-atoms. (b) Sample and its generation method. (c) Structure of the selected random meta-atom. (d) Transmission spectrum (phase and amplitude) of the meta-atom. (e) |Ex|2 at several wavelengths in (d).
    Fig. 1. Generation process of database. (a) Association of 100 meta-atoms. (b) Sample and its generation method. (c) Structure of the selected random meta-atom. (d) Transmission spectrum (phase and amplitude) of the meta-atom. (e) |Ex|2 at several wavelengths in (d).
    Comparison of four kinds of frequently used material combinations in visible light.
    Fig. 2. Comparison of four kinds of frequently used material combinations in visible light.
    Structure of CDNN for metasurfaces. (a) Forward and backward networks for prediction of transmission spectrum and structure of meta-atoms. (b)–(d) Structures of the simulator, autoencoder, and translator, respectively.
    Fig. 3. Structure of CDNN for metasurfaces. (a) Forward and backward networks for prediction of transmission spectrum and structure of meta-atoms. (b)–(d) Structures of the simulator, autoencoder, and translator, respectively.
    Evaluation of the simulator. (a) Training and test loss functions along with epochs. (b) Loss functions of different depth. (c) Counts of MAE for whole test sets.
    Fig. 4. Evaluation of the simulator. (a) Training and test loss functions along with epochs. (b) Loss functions of different depth. (c) Counts of MAE for whole test sets.
    Four samples for the simulator. Inset is corresponding meta-atom. (a) MAE of 0.0104. (b) MAE of 0.0327. (c) MAE of 0.0356. (d) MAE of 0.0550.
    Fig. 5. Four samples for the simulator. Inset is corresponding meta-atom. (a) MAE of 0.0104. (b) MAE of 0.0327. (c) MAE of 0.0356. (d) MAE of 0.0550.
    Visualization of forward network. (a) Meta-atom and its structure parameters. (b) Feature maps extracted from the first and second convolutional layers. (c) Feature maps extracted from the third and fourth convolutional layers. (d) Activation thermal maps.
    Fig. 6. Visualization of forward network. (a) Meta-atom and its structure parameters. (b) Feature maps extracted from the first and second convolutional layers. (c) Feature maps extracted from the third and fourth convolutional layers. (d) Activation thermal maps.
    Evaluation of backward networks. (a) Restored images and (b) original images. (c) Counts of MAE for whole test sets.
    Fig. 7. Evaluation of backward networks. (a) Restored images and (b) original images. (c) Counts of MAE for whole test sets.
    Four samples with typical losses for CDNN. (a) MAE of 0.0317. (b) MAE of 0.0520. (c) MAE of 0.0784. (d) MAE of 0.1621.
    Fig. 8. Four samples with typical losses for CDNN. (a) MAE of 0.0317. (b) MAE of 0.0520. (c) MAE of 0.0784. (d) MAE of 0.1621.
    Weichao Kong, Jun Chen, Zengxin Huang, Dengfeng Kuang. Bidirectional cascaded deep neural networks with a pretrained autoencoder for dielectric metasurfaces[J]. Photonics Research, 2021, 9(8): 1607
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