Design of chiral plasmonic metamaterials based on interpretable deep learning

Shusheng Xie, Leilei Gu, Jianping Guo
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Abstract

Abstract Chiral plasmonic metamaterials can amplify chiral signals, resulting in circular dichroism (CD) responses that are several orders of magnitude far beyond those of nature. However, the design process of chiral plasmonic metamaterials based on conventional methods is time-consuming. In recent years, the combination of deep learning (DL) and nanophotonics have accelerated the design of nanophotonic devices. Here, we construct the fully connected neural network (FC-NN) model for the forward prediction and inverse design of chiral plasmonic metamaterials structures and introduce the permutation importance approach to optimize the model and increase its interpretability. Our experimental results show that using the peak magnitude of CD and the corresponding wavelength instead of the entire spectrum as the output in the forward prediction improves the accuracy of the peak magnitude of CD prediction, avoids the introduction of auxiliary networks, and simplifies the network structure; The permutation importance analysis shows that the gold length of the resonator is the most critical structural parameter affecting the CD response. In the inverse design, the permutation importance method helps us to make feature selections for the input of the network. By reducing 251 inputs (the whole CD spectrum) to 4 inputs (the peak magnitude of CD and the corresponding wavelength), the network can still maintain a good prediction performance and decrease the training time of the network. Our proposed method can be extended not only to other DL models to study the CD response of chiral metamaterials but also to other areas where DL is combined with metamaterials to accelerate the system optimization and design process of nanophotonic devices.
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基于可解释深度学习的手性等离子体超材料设计
摘要手性等离子体超材料可以放大手性信号,从而产生远超自然界几个数量级的圆二色性响应。然而,基于传统方法的手性等离子体超材料的设计过程非常耗时。近年来,深度学习与纳米光子学的结合加速了纳米光子器件的设计。本文构建了用于手性等离子体超材料结构正向预测和逆向设计的全连接神经网络(FC-NN)模型,并引入排列重要性方法对模型进行优化,提高了模型的可解释性。实验结果表明,在正向预测中使用CD峰幅值及其对应波长代替整个光谱作为输出,提高了CD峰幅值预测的精度,避免了辅助网络的引入,简化了网络结构;排列重要性分析表明,谐振腔的金长度是影响CD响应的最关键结构参数。在逆向设计中,排列重要度法帮助我们对网络的输入进行特征选择。通过将251个输入(整个CD谱)减少到4个输入(CD的峰值幅度和对应的波长),网络仍然可以保持良好的预测性能,并且减少了网络的训练时间。我们提出的方法不仅可以推广到其他DL模型来研究手性超材料的CD响应,还可以推广到DL与超材料相结合的其他领域,以加速纳米光子器件的系统优化和设计过程。
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