用波数域反射系数建模声场方向依赖反射,提升三维仿真精度。
Directional reflection modeling via wavenumber-domain reflection coefficient for 3D acoustic field simulation
- 基于波数域反射系数表征材料方向性反射与散射特性
- 无需建模材料内部结构,降低计算成本并兼容边界元法
- 可直接使用实测数据或用户定义的方向反射特征,适用广泛
本研究提出一种将波数域声学反射系数融入声场分析的框架,用于刻画材料方向依赖的反射与散射现象。反射系数定义为各传播方向上入射波与反射波的振幅比,通过入射和反射声场的空间傅里叶变换估算。所得波数域反射系数被转换为声导纳表示,直接兼容边界元法(BEM),可模拟超出简单镜面反射的复杂反射。相比传统扩展反应模型,该方法无需显式建模材料内部结构,显著降低计算成本,同时支持直接使用实测数据、经验模型或用户自定义的方向反射特性。此前作者已在二维声场模拟中验证该方法对方向依赖反射行为的准确再现。本文将其扩展至三维分析,证明其在更真实复杂的声学环境中仍具适用性。该方法为方向依赖声反射与散射的仿真提供了实用且灵活的工具,适用于建筑声学、材料表征与噪声控制等领域。
原文摘要 · Abstract (English)
This study proposes a framework for incorporating wavenumber-domain acoustic reflection coefficients into sound field analysis to characterize direction-dependent material reflection and scattering phenomena. The reflection coefficient is defined as the amplitude ratio between incident and reflected waves for each propagation direction and is estimated from spatial Fourier transforms of the incident and reflected sound fields. The resulting wavenumber-domain reflection coefficients are converted into an acoustic admittance representation that is directly compatible with numerical methods such as the Boundary Element Method (BEM), enabling simulation of reflections beyond simple specular components. Unlike conventional extended reaction models, the proposed approach avoids explicit modeling of the material interior. This significantly reduces computational cost while allowing direct use of measured data, empirical models, or user-defined directional reflection characteristics. The validity of the proposed formulation was previously demonstrated by the authors through two-dimensional sound field simulations, in which accurate reproduction of direction-dependent reflection behavior was confirmed. In the present work, the framework is extended to three-dimensional analysis, demonstrating its applicability to more realistic and complex acoustic environments. The proposed approach provides a practical and flexible tool for simulating direction-dependent acoustic reflections and scattering, with potential applications in architectural acoustics, material characterization, and noise control.
Thank you to arXiv for use of its open access interoperability. PaperDance 不是 arXiv 官方产品;中文卡片由大模型生成,请以原文为准。