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RESEARCH PAPER / 2026-02-11

Surface impedance inference via neural fields and sparse acoustic data obtained by a compact array

Yuanxin Xia, Xinyan Li, Matteo Calafà ...Full author list in the original paper.

Technical University of Denmark · arXiv

Affiliations: Technical University of Denmark

Abstract

Standardized laboratory characterizations for absorbing materials rely on idealized sound field assumptions, which deviate largely from real-life conditions. Consequently, \emph{in-situ} acoustic characterization has become essential for accurate diagnosis and virtual prototyping. We propose a physics-informed neural field that reconstructs local, near-surface broadband sound fields from sparse pressure samples to directly infer complex surface impedance. A parallel, multi-frequency architecture enables a broadband impedance retrieval within runtimes on the order of seconds to minutes. To validate the method, we developed a compact microphone array with low hardware complexity. Numerical verifications and laboratory experiments demonstrate accurate impedance retrieval with a small number of sensors under realistic conditions. We further showcase the approach in a vehicle cabin to provide practical guidance on measurement locations that avoid strong interference. Here, we show that this approach offers a robust means of characterizing \emph{in-situ} boundary conditions for architectural and automotive acoustics.

The following analysis is generated by AI and may contain errors. It is separate from the authors’ abstract and is not peer review.

Research summary

The main contribution of this paper is the development of a physics-informed neural network framework for rapid in-situ characterization of surface impedance from sparse acoustic data, which significantly advances the state-of-the-art in acoustic material characterization. The methodology combines innovative neural network architecture with practical experimental validation, addressing critical challenges in the field of acoustics.

Methodology

The paper introduces a novel physics-informed neural network architecture for inferring surface impedance from sparse acoustic data, which is a significant advancement over traditional methods that rely on dense sensor arrays and idealized conditions. The use of a parallel multi-frequency architecture allows for efficient processing and inference, addressing computational bottlenecks associated with broadband sound field reconstruction. The methodology is well-structured, incorporating automatic differentiation to infer particle velocity, and employs a composite loss function that integrates data fidelity, physical constraints, and regularization terms, which enhances the robustness of the model.

Results & evaluation

The experimental validation is thorough, encompassing both numerical simulations and laboratory experiments in anechoic and reverberant environments. The results demonstrate the framework's capability to accurately retrieve impedance under realistic conditions, showcasing its practical applicability in complex acoustic environments such as vehicle cabins. The sensitivity analysis and parametric sweeps provide valuable insights into the performance of the proposed microphone array configurations, further reinforcing the robustness of the method.

Reproducibility

The paper provides detailed descriptions of the experimental setups, training protocols, and evaluation metrics, which facilitate reproducibility. However, the lack of publicly available code and data at this stage may hinder independent validation of the results. The authors mention plans to establish a public repository upon acceptance, which would enhance reproducibility.

Limitations

One limitation noted is the sensitivity of the method to local sound field complexity, particularly in the presence of strong nodal lines and reflections, which can degrade inference accuracy. Additionally, the reliance on specific microphone configurations may limit the generalizability of the findings to other setups or environments. The paper also acknowledges the challenges posed by measurement noise, especially in the context of near-rigid surfaces.

Broader impact

The proposed framework has significant implications for in-situ acoustic characterization in various fields, including architectural acoustics and automotive design. By enabling rapid and accurate impedance retrieval, this method can improve the design and optimization of sound-absorbing materials and structures, ultimately enhancing acoustic performance in real-world applications. The integration of machine learning with physics-informed approaches represents a promising direction for future research in acoustic engineering. The main contribution of this paper is the development of a physics-informed neural network framework for rapid in-situ characterization of surface impedance from sparse acoustic data, which significantly advances the state-of-the-art in acoustic material characterization. The methodology combines innovative neural network architecture with practical experimental validation, addressing critical challenges in the field of acoustics.

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