• Advanced Photonics Nexus
  • Vol. 3, Issue 2, 026002 (2024)
Yi Xu1, Fu Li1, Jianqiang Gu1、*, Zhiwei Bi2, Bing Cao2、*, Quanlong Yang3、*, Jiaguang Han4, Qinghua Hu2, and Weili Zhang5
Author Affiliations
  • 1Tianjin University, Center for Terahertz Waves and College of Precision Instrument and Optoelectronics Engineering, Ministry of Education, Key Laboratory of Optoelectronic Information Technology, Tianjin, China
  • 2Tianjin University, College of Intelligence and Computing, Tianjin, China
  • 3Central South University, School of Physics and Electronics, Hunan Key Laboratory of Nanophotonics and Devices, Changsha, China
  • 4Guilin University of Electronic Technology, School of Optoelectronic Engineering, Guangxi Key Laboratory of Optoelectronic Information Processing, Guilin, China
  • 5Oklahoma State University, School of Electrical and Computer Engineering, Stillwater, Oklahoma, United States
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    DOI: 10.1117/1.APN.3.2.026002 Cite this Article Set citation alerts
    Yi Xu, Fu Li, Jianqiang Gu, Zhiwei Bi, Bing Cao, Quanlong Yang, Jiaguang Han, Qinghua Hu, Weili Zhang. Spectral transfer-learning-based metasurface design assisted by complex-valued deep neural network[J]. Advanced Photonics Nexus, 2024, 3(2): 026002 Copy Citation Text show less

    Abstract

    Recently, deep learning has been used to establish the nonlinear and nonintuitive mapping between physical structures and electromagnetic responses of meta-atoms for higher computational efficiency. However, to obtain sufficiently accurate predictions, the conventional deep-learning-based method consumes excessive time to collect the data set, thus hindering its wide application in this interdisciplinary field. We introduce a spectral transfer-learning-based metasurface design method to achieve excellent performance on a small data set with only 1000 samples in the target waveband by utilizing open-source data from another spectral range. We demonstrate three transfer strategies and experimentally quantify their performance, among which the “frozen-none” robustly improves the prediction accuracy by ∼26 % compared to direct learning. We propose to use a complex-valued deep neural network during the training process to further improve the spectral predicting precision by ∼30 % compared to its real-valued counterparts. We design several typical teraherz metadevices by employing a hybrid inverse model consolidating this trained target network and a global optimization algorithm. The simulated results successfully validate the capability of our approach. Our work provides a universal methodology for efficient and accurate metasurface design in arbitrary wavebands, which will pave the way toward the automated and mass production of metasurfaces.
    MSE=1mi=1m(T˜^T˜)(T˜^T˜*)=1mi=1m{[Re(T˜^)Re(T˜)]2+[Im(T˜^)Im(T˜)]2},

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    loss=1ni=1n[|φgoal(λi)φoptimal(λi)|+η×|Agoal(λi)Aoptimal(λi)|],

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    φ(x,ω)=ωc(x2+f2f),

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    φ(r,ω)=ωc(r2+f2f)+lθ,

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    Yi Xu, Fu Li, Jianqiang Gu, Zhiwei Bi, Bing Cao, Quanlong Yang, Jiaguang Han, Qinghua Hu, Weili Zhang. Spectral transfer-learning-based metasurface design assisted by complex-valued deep neural network[J]. Advanced Photonics Nexus, 2024, 3(2): 026002
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