发表机构
Univ. Toulouse, CNRS, LAAS, Toulouse, France; Univ. Toulouse, CNRS, CEMES, Toulouse, France（图卢兹大学，法国国家科学研究中心，LAAS; 图卢兹大学，法国国家科学研究中心，CEMES）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究提出自动化框架优化全局极化率矩阵模型，通过迭代删改偶极子构建精简高效模型，可将纳米光子散射模拟压缩两个数量级，支撑大型超表面设计的快速模拟。
AI 中文摘要
对光学超表面等大型器件进行精确的纳米光子学模拟，需要针对器件组分的高精度降阶模型。我们提出一种用于优化全局极化率矩阵（Global Polarizability Matrix, GPM）模型的自动化框架，该框架将复杂散射体表示为一小组非局域有效偶极子。我们的目标是找到最精简的模型，使其能在用户定义的精度内重现粒子的散射响应。该方法通过基于梯度的优化迭代移除冗余偶极子，同时重新调整剩余偶极子的位置，直到达到仍满足目标的最小模型为止。自动微分结合重新参数化偶极子位置的未训练神经网络，有助于将偶极子放置在物理上直观的位置。我们在多种几何结构上验证了该方法的通用性，从二维脊、简单球体到复杂三维粒子，在目标精度为百分之几的情况下，与全波模拟相比，实现了通常两个数量级的压缩比。我们最终展示了精确的精简有效模型如何在无需周期性近似的情况下实现大型超表面偏转器优化。这种构建精简有效模型的可靠方法，为大型光子组件的快速模拟铺平了道路，例如超表面设计所需的模拟。
英文摘要
Accurate nano-photonics simulations of large scale devices like optical metasurfaces require high accuracy reduced models for the device constituents. We present an automated framework for the optimization of Global Polarizability Matrix (GPM) models, which represent a complex scatterer as a small set of non-local effective dipoles. Our goal is to find the most frugal model that reproduces a particle's scattering response within a user-defined accuracy. The method iteratively removes redundant dipoles while re-adapting the positions of the remaining ones via gradient based optimization, stopping at the smallest model that still meets the target. Automatic differentiation, combined with an untrained neural network that reparametrizes the dipole positions, helps to place the dipoles at physically intuitive locations. We demonstrate the versatility of this approach across diverse geometries, from two dimensional ridges over simple spheres to complex three-dimensional particles, achieving compression factors of typically two orders of magnitude compared to full-wave simulations, for target accuracies in the order of few percent. We finally demonstrate how accurate, frugal effective models enable large-scale meta-deflector optimization without periodic approximations. This robust recipe for constructing frugal effective models paves the way for the rapid simulation of large-scale photonic assemblies, required for example for metasurface design.
Comments10 pages, 6 figures, supporting information pdf of 11 pages
