广义微波网络驱动的超表面物理信息神经算子代理模型

      Generalized microwave network-driven physics-informed neural operator surrogate model for metasurfaces network modeling

      • 摘要: 为解决可重构电磁超表面优化设计中的计算瓶颈,实现从全波仿真向高效智能算子推理的转变,提出了广义微波网络建模驱动的超表面物理信息神经算子代理模型。首先,提出基于广义微波网络理论的统一近/远场物理建模方法,通过散射参数矩阵、有效激励和角谱传播实现精确场预测;然后,构建物理引导傅里叶神经算子(Fourier neural operator, FNO)智能替代框架,学习端口配置到场分布的算子映射关系。基于20×20 PIN二极管超表面8焦点聚焦的初步验证表明,所提广义微波网络方法与HFSS全波仿真一致性高,可以为AI训练提供可靠数据基础。在本文采用的算例下,所训练的FNO智能替代算子相比HFSS实现了1万倍的存储缩减和200万倍的计算加速,近场预测误差低于10%,功率守恒误差小于5%。算例结果表明,广义微波网络理论能够通过有效激励和端口-场分解实现复杂电磁过程的可学习算子表示,在此基础上训练的FNO通过频域谱卷积可实现算子映射的高效近似,因此本文提出的框架适用于超表面实时优化场景。

         

        Abstract: To address the computational bottlenecks in the optimized design of reconfigurable electromagnetic metasurfaces and achieve a transition from full-wave simulations to efficient intelligent operator inference, this paper proposes a metasurface physics-informed neural operator surrogate model driven by generalized microwave network modeling. First, a unified near/far-field physical modeling method based on generalized microwave network theory is proposed, enabling accurate field prediction through scattering parameter matrices, effective excitation, and angular spectrum propagation. Then, a physics-guided Fourier neural operator intelligent surrogate framework is constructed to learn the operator mapping from port configurations to field distributions. Preliminary validation based on an 8-focus focusing scenario using a 20×20 PIN diode metasurface shows that the proposed generalized microwave network method aligns well with HFSS full-wave simulations, providing a reliable data foundation for AI training. Under the case studied in this paper, the trained Fourier neural operator intelligent surrogate achieves a storage reduction of 10,000 times and a computational speedup of 2 million times compared to HFSS, with a near-field prediction error below 3% and a power conservation error less than 10%. Experimental results demonstrate that the generalized microwave network theory enables a learnable operator representation of complex electromagnetic processes through effective excitation and port-field decomposition. The Fourier neural operator trained on this basis achieves efficient approximation of operator mappings via spectral convolutions in the frequency domain, making the proposed framework suitable for real-time optimization scenarios of metasurfaces.

         

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