通过机器学习控制合成时空调制超材料以增强非互惠性

Ngoc Hung Phi, Huu Nguyen Bui, Seong-Yoen Moon, Jong‐Wook Lee
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摘要

非互斥性在管理与方向相关的非对称波传播中起着根本性的作用。以往实现非互斥性的方法涉及基于铁氧体的装置和庞大的系统。本文研究了利用机器学习(ML)控制合成时空调制(STM)超材料,以增强非折回性。由于时间周期性浮凸谐波的非线性特性,时空调制超材料的设计面临巨大挑战,而数值优化等传统方法无法有效处理这些问题。为了应对这一挑战,我们提出了一种多线性方法,该方法利用引导目标函数从积累的训练数据中学习,并利用学习到的特征生成高质量的设计。这种方法首先训练一个残差神经网络(ResNet),以学习 STM 参数与非互惠响应之间的非线性关系。经过训练的 ResNet 具有很高的测试精度,在 9000 个实例中,96.7% 的均方误差小于 0.6 × 10-4。针对 STM 超材料的合成,提出了一种定制的 Wasserstein 生成式对抗网络(WGAN),它利用已发现的非线性,以较小的计算成本合成大规模数据集。利用 90,000 个数据样本获得的直方图显示,WGAN 生成的设计的平均归一化非互易性为 0.83,比测量数据高四倍。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

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Controlled Synthesis of Space–Time Modulated Metamaterial for Enhanced Nonreciprocity by Machine Learning
Nonreciprocity plays a fundamental role in governing direction‐dependent asymmetric wave propagation. Previous approaches to nonreciprocity involve ferrite‐based devices with bulky systems. Herein, the controlled synthesis of a space–time modulation (STM) metamaterial for enhanced nonreciprocity using machine learning (ML) is investigated. The design of STM metamaterial poses great challenges due to the nonlinear nature of time‐periodic Floquet harmonics, which are inefficiently handled in traditional methods such as numerical optimization. To deal with the challenge, an ML approach is proposed that learns from the accumulated training data using the guided objective function and generates high‐quality designs by leveraging the learned features. This approach first trains a residual neural network (ResNet) to learn the nonlinear relationships between the STM parameters and nonreciprocal responses. The trained ResNet achieves a high testing accuracy, with 96.7% of the 9000 instances having a mean square error less than 0.6 × 10−4. For the synthesis of STM metamaterial, a customized Wasserstein generative adversarial network (WGAN) is proposed, which leverages the discovered nonlinearity and synthesizes large‐scale datasets using small computational costs. The histogram obtained using 90 000 data samples shows that WGAN generates designs with an average normalized nonreciprocity of 0.83, four times higher than the measured data.
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