基于DeepONet的高自由度频率选择表面代理模型

      DeepONet surrogate modeling of high-DOF frequency selective surfaces

      • 摘要: 针对频率选择表面(frequency selective surface,FSS)在高维参数空间和复杂拓扑结构下建模效率低、仿真成本高的问题,提出了一种基于人工智能的电磁正向建模方法。构建以DeepONet为核心的神经网络架构,分支网络引入改进型ResNet-18结构,有效提取FSS拓扑图像的多尺度空间特征;主干网络采用将频率作为显示输入,从而提升模型对频率响应的建模能力。本研究采用线下训练、线上测试的方法,建立拓扑结构与频率响应之间的非线性映射关系,实现对FSS在2~20 GHz频段内S21参数的高效预测。实验结果得到,所建模型在验证集上的平均相对误差为0.0478、决定系数R20.99441、平均单次预测时间为6 ms,表明模型在计算精度与推理效率上均具备良好性能。与传统有限元法与时域有限差分法相比,提出的基于人工智能的建模方法无需重复建模与网格剖分,显著降低了计算资源开销,为FSS等复杂电磁结构的快速建模与智能计算提供了一条可行的技术路径。

         

        Abstract: To address the challenges of low modeling efficiency and high simulation cost of frequency selective surfaces (FSS) under high-degree of Freedom (High-DOF) parameter spaces and complex topologies, this study proposes an artificial intelligence-based electromagnetic forward modeling approach. A neural network architecture based on deep operator network (DeepONet) is constructed, where the branch network incorporates an improved ResNet-18 to effectively extract multi-scale spatial features from FSS topology images, while the trunk network takes frequency as an explicit input to enhance the modeling capability of frequency responses. By learning the nonlinear mapping between topology and frequency response, the model achieves efficient prediction of the S21 parameter across the 2–20 GHz frequency band. The proposed framework adopts an offline training and online testing strategy, enabling the model to rapidly generate full-band responses from a single structural input, thereby significantly improving inference efficiency. Experimental results show that the model's average relative error on the validation set is 0.0478, the coefficient of determination (R2) is 0.99441, and the average prediction time per sample is 6 ms. Compared with traditional finite element method (FEM) and finite-difference time-domain (FDTD) approaches, the proposed AI-based model eliminates the need for repeated meshing and re-modeling, substantially reducing computational cost. It provides a feasible and efficient path for rapid modeling and intelligent computation of complex electromagnetic structures such as FSS.

         

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