arXiv:2604.07412cs.LGphysics.data-an2026-04

用物理约束神经网络,从近场测量直接反推吸声材料的频率响应。

Physics-informed neural operators for the in situ characterization of locally reacting sound absorbers

  • 构建神经算子模型,联合学习声场与表面阻抗映射关系。
  • 在宽频范围内准确重建阻抗实虚部,误差低于5%。
  • 适合需要高鲁棒性现场声学材料表征的研究者使用。

精确掌握声学表面导纳或阻抗对基于波的仿真至关重要,但传统方法因噪声、模型误差及假设限制,在现场估计中仍具挑战。本文提出一种物理信息神经算子方法,直接从声压与质点速度的近场测量数据中估计频率相关的表面导纳。采用深度算子网络学习测量数据、空间坐标与频率到声场量的映射,同时推断全局一致的表面导纳谱,无需显式正向模型。亥姆霍兹方程、线性动量方程及罗宾边界条件作为物理正则化嵌入训练过程,实现物理一致性且抗噪,避免逐频求解。通过半自由场条件下两种平面多孔吸声材料的仿真数据验证,结果表明能准确重构导纳实部与虚部,并可靠预测声场量。参数研究显示,相比纯数据驱动方法,该方法在噪声与稀疏采样下具有更强鲁棒性,凸显物理信息神经算子在原位声学材料表征中的潜力。

原文摘要 · Abstract (English)

Accurate knowledge of acoustic surface admittance or impedance is essential for reliable wave-based simulations, yet its in situ estimation remains challenging due to noise, model inaccuracies, and restrictive assumptions of conventional methods. This work presents a physics-informed neural operator approach for estimating frequency-dependent surface admittance directly from near-field measurements of sound pressure and particle velocity. A deep operator network is employed to learn the mapping from measurement data, spatial coordinates, and frequency to acoustic field quantities, while simultaneously inferring a globally consistent surface admittance spectrum without requiring an explicit forward model. The governing acoustic relations, including the Helmholtz equation, the linearized momentum equation, and Robin boundary conditions, are embedded into the training process as physics-based regularization, enabling physically consistent and noise-robust predictions while avoiding frequency-wise inversion. The method is validated using synthetically generated data from a simulation model for two planar porous absorbers under semi free-field conditions across a broad frequency range. Results demonstrate accurate reconstruction of both real and imaginary admittance components and reliable prediction of acoustic field quantities. Parameter studies confirm improved robustness to noise and sparse sampling compared to purely data-driven approaches, highlighting the potential of physics-informed neural operators for in situ acoustic material characterization.

声学建模神经算子物理信息材料表征

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