基于KAN-CNN相位预测模型的反射聚焦超表面设计

      Design of reflective focusing metasurface based on KAN-CNN phase prediction model

      • 摘要: 超表面因其对电磁波的卓越调控能力,在各个领域展现出重要价值。但其几何构型与电磁响应之间高度复杂的非线性映射关系,导致传统超表面设计方法依赖于海量的电磁仿真,严重制约了设计效率。为突破这一瓶颈,本文在2~18 GHz的超宽带内生成20 000组均匀的几何数据-反射相位数据集。然后利用科尔莫戈罗夫–阿诺德卷积神经网络(Kolmogorov-Arnold convolutional neural network, KAN-CNN)模块、注意力机制、残差连接等构建的高性能正向相位预测神经网络,结合模拟退火算法实现由目标相位快速生成超表面结构参数。实验结果表明,该超表面逆向设计系统实现了92.7%的高精度宽带反射相位预测准确率,整个模型的 R2高达 0.8937。相较于传统全波仿真迭代优化,本系统大幅提升了设计效率,实现了高性能超表面的快速生成。应用该系统,成功设计并加工出工作于 8 GHz、焦距为 100 mm的聚焦超表面阵列。实测结果与设计目标高度吻合,验证了该系统从设计到制备的全流程可行性与可靠性。

         

        Abstract: Metasurface has demonstrated significant value across various fields due to its exceptional ability to manipulate electromagnetic waves. However, the highly complex nonlinear mapping relationship between their geometric configurations and electromagnetic responses has led traditional metasurface design methods to rely on massive electromagnetic simulations, severely constraining design efficiency. To achieve a breakthrough in this bottleneck, this study generated a uniform dataset of 20 000 sets of geometric data-reflection phase pairs across an ultra-wideband frequency range of 2–18 GHz. A high-performance forward-phase prediction neural network constructed using the Kolmogorov-Arnold convolutional neural network (KAN-CNN) module, attention mechanisms, and residual connections, combined with a simulated annealing algorithm to rapidly generate metasurface structural parameters from a target phase. Experimental results show that this metasurface inverse design system achieves a high-accuracy broadband reflection phase prediction accuracy of 92.7%, with an overall model R2 of up to 0.8937. Compared with traditional full-wave simulation iterative optimization, this system significantly improves design efficiency and enables the rapid generation of high-performance metasurfaces. Using this system, a focusing metasurface array operating at 8 GHz with a focal length of 100 mm was successfully designed and fabricated. The measured results closely match the design targets, validating the feasibility and reliability of the entire process from design to fabrication.

         

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