arXiv:2508.03774cs.LGcs.AI2025-08

用物理约束神经网络加速三维金属目标微波散射分析,兼顾精度与速度。

A Physics-Informed Hierarchical Neural Network for Microwave Scattering Analysis of 3D PEC Targets

  • 基于近远场分解设计分层网络结构,融合几何层次信息
  • 在多个频段和极化下重建双站雷达散射截面,误差低于基准方法
  • 无需电流标签即可训练,适合重复查询场景的快速仿真

三维完美导电体在微波频率下的散射建模是计算电磁学中的核心问题,尤其对雷达散射截面(RCS)预测至关重要。传统求解器如矩量法和多级快速多极子算法(MLFMA)虽物理保真度高,但在多次查询、多入射角或频率条件下计算成本高昂;而纯数据驱动代理模型在几何复杂目标上常缺乏精度。本文提出一种U型物理信息神经网络(U-PINet),受MLFMA近远场分解启发,结合以可学习一元基函数参数化的近场图编码器和基于八叉树划分的分层多尺度融合模块。该网络在表面采样点上针对电场积分方程的离散残差进行训练,无需参考电流标签。在规则与复杂三维金属目标上的实验表明,U-PINet在多种频率和极化配置下均优于代表性物理信息基线,在重复查询场景中相较经典MLFMA显著提升运行效率。

原文摘要 · Abstract (English)

Accurate modeling of scattering from three-dimensional (3D) perfectly electrically conducting (PEC) targets at microwave frequencies constitutes a fundamental objective in computational electromagnetics, particularly for radar cross section (RCS) prediction and microwave scattering analysis. Classical solvers, such as the method of moments and the Multilevel Fast Multipole Algorithm (MLFMA), although provide high physical fidelity, they become costly under scenarios of repeated queries involving many incidence configurations or frequencies, whereas purely data-driven surrogates often lack accuracy on geometrically complex targets. This paper proposes a U-shaped physics-informed artificial neural network (U-PINet) for 3D microwave scattering analysis. Inspired by the near-far field decomposition of MLFMA, U-PINet combines a near-field graph encoder, parameterized by learnable univariate basis functions, with a hierarchical multi-scale fusion module organized on an octree partition. The proposed network is trained against a discretized residual of the electric-field integral equation at surface collocation points, without requiring reference current labels. Experiments on canonical and geometrically complex 3D PEC targets, conducted under multiple frequency and polarization configurations and assessed through bistatic RCS reconstruction, showcase that U-PINet outperforms representative physics-informed baselines, and yields substantial runtime savings over the classical MLFMA solver under repeated-query scenarios.

电磁仿真神经网络物理信息雷达散射

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