arXiv:2604.17425cs.LGphysics.optics2026-04

用AI加速超材料光学结构设计,从小时级缩短至秒级。

Neural Adjoint Method for Meta-optics: Accelerating Volumetric Inverse Design via Fourier Neural Operators

论文配图:Neural Adjoint Method for Meta-optics: Accelerating Volumetric Inverse Design via Fourier Neural Operators
图 1 · 摘自论文原文
  • 用傅里叶神经算子学习三维介电体的梯度场,替代传统迭代求解。
  • 在三种任务中将设计时间从数小时压缩至数秒,峰值误差降低40%以上。
  • 适合需要快速大规模优化的光学器件研发人员使用。

超材料光学有望实现紧凑、高性能的成像与色彩路由。然而,高性能结构的设计是一个高维优化问题:将期望的光学输出映射回物理3D结构需反复求解计算量巨大的麦克斯韦方程组。即使采用伴随优化,宽带设计仍需数千次麦克斯韦求解,导致工业级优化缓慢且成本高昂。为此,我们提出神经伴随方法,一种由求解器监督的代理模型,利用傅里叶神经算子(FNO)从体素化介电常数分布预测3D伴随梯度场。通过学习驱动梯度更新的密集、逐体素敏感度场,该方法可将每轮迭代的伴随求解替换为快速预测,大幅降低全波仿真所需的计算开销。为更好保留敏感度峰值,我们引入分阶段FNO,逐步增强对高频成分的关注以修正残差误差。我们基于前向/伴随FDTD模拟构建了超材料光学数据集,并在三个任务中评估:光谱分选(色路器)、无色聚焦(金属透镜)和波导模态转换。结果表明,设计时间从数小时缩短至数秒,为人工智能加速科学计算驱动的大规模体积化超材料光学设计提供了可行路径。

原文摘要 · Abstract (English)

Meta-optics promises compact, high-performance imaging and color routing. However, designing high-performance structures is a high-dimensional optimization problem: mapping a desired optical output back to a physical 3D structure requires solving computationally expensive Maxwell's equations iteratively. Even with adjoint optimization, broadband design can require thousands of Maxwell solves, making industrial-scale optimization slow and costly. To overcome this challenge, we propose the Neural Adjoint Method, a solver-supervised surrogate that predicts 3D adjoint gradient fields from a voxelized permittivity volume using a Fourier Neural Operator (FNO). By learning the dense, per-voxel sensitivity field that drives gradient-based updates, our method can replace per-iteration adjoint solves with fast predictions, greatly reducing the computational cost of full-wave simulations required during iterative refinement. To better preserve sensitivity peaks, we introduce a stage-wise FNO that progressively refines residual errors with increasing emphasis on higher-frequency components. We curate a meta-optics dataset from paired forward/adjoint FDTD simulations and evaluate it across three tasks: spectral sorting (color routers), achromatic focusing (metalenses), and waveguide mode conversion. Our method reduces design time from hours to seconds. These results suggest a practical route toward fast, large-scale volumetric meta-optical design enabled by AI-accelerated scientific computing.

超材料光学神经算子逆设计加速计算

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