An experimental Investigation into the sound scattering properties of two-dimensional quadratic residue diffusers

IF 3.4 2区物理与天体物理 Q1 ACOUSTICS

Applied Acoustics Pub Date : 2025-08-29 DOI:10.1016/j.apacoust.2025.111030

Lili Pan, Jianliang Gao, Yuezhe Zhao

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引用次数: 0

Abstract

Schroeder diffusers have been widely used in rooms and outdoor environments due to their simple constructions and excellent sound diffusing characteristics. In theory, a two-dimensional (2D) Schroeder diffuser can scatter sound in multiple planes, providing more grating lobes than a one-dimensional (1D) diffuser. In previous research, the scattering properties of 1D Schroeder diffusers have been systematically studied, but research focusing on the scattering coefficients of 2D Schroeder diffuser remains limited, and available experimental data are still rare. In this study, ten types of two-dimensional quadratic residue diffusers (2D-QRDs) and four types of slot- and cavity-grid diffusing surfaces are designed and measured in a 1:10 scaled-down reverberation room on their scattering coefficients. The results are compared to analyze the effects of the cavity depth, the cavity shape, the sequence array, the baffle feature and the ratio of the maximum cavity depth (d_max) to the wave length (λ). Moreover, hemispherical surfaces and other Schroeder diffusers reported in other research are also taken into comparison. The data measured in this study provide engineers and acousticians with useful reference in room acoustic design. The scattering coefficient variation laws obtained in this study can provide a guide for the structural design of 2D-QRDs.

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二维二次型残余扩散器声散射特性的实验研究

施罗德扩散器结构简单，具有良好的声音扩散特性，在室内和室外环境中得到了广泛应用。理论上，二维（2D）施罗德扩散器可以在多个平面上散射声音，比一维（1D）扩散器提供更多的光栅瓣。在以往的研究中，对一维施罗德扩散器的散射特性进行了系统的研究，但对二维施罗德扩散器散射系数的研究仍然有限，可用的实验数据仍然很少。本文设计了10种二维二次型残余扩散器（2d - qrd）和4种槽型和腔型网格扩散面，并在1:10的混响室内对其散射系数进行了测量。对比分析了空腔深度、空腔形状、序列阵列、挡板特征以及最大空腔深度与波长之比（λ）等因素的影响。此外，还比较了半球形表面和其他研究中报道的施罗德扩散体。本研究的测量数据为室内声学设计提供了有益的参考。研究得到的散射系数变化规律可为二维量子阱的结构设计提供指导。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Applied Acoustics 物理-声学

CiteScore

7.40

自引率

11.80%

发文量

618

审稿时长

7.5 months

期刊介绍： Since its launch in 1968, Applied Acoustics has been publishing high quality research papers providing state-of-the-art coverage of research findings for engineers and scientists involved in applications of acoustics in the widest sense. Applied Acoustics looks not only at recent developments in the understanding of acoustics but also at ways of exploiting that understanding. The Journal aims to encourage the exchange of practical experience through publication and in so doing creates a fund of technological information that can be used for solving related problems. The presentation of information in graphical or tabular form is especially encouraged. If a report of a mathematical development is a necessary part of a paper it is important to ensure that it is there only as an integral part of a practical solution to a problem and is supported by data. Applied Acoustics encourages the exchange of practical experience in the following ways: • Complete Papers • Short Technical Notes • Review Articles; and thereby provides a wealth of technological information that can be used to solve related problems. Manuscripts that address all fields of applications of acoustics ranging from medicine and NDT to the environment and buildings are welcome.