Abstract

Quadratic residue diffuser (QRD) is a device that distributes the acoustic energy of intense reflections by its spatial and temporal dispersion. The quadratic residue diffuser consists of a series of wells of different depths and the same width. Optimal diffusion is very important for perceiving musical sound and eliminating unwanted acoustic effects e.g. echoes. For the purpose to determine the optimal diffusion, Schroeder used mathematical number sequences allowing to diffuse the sound in a semicircular pattern from the devices. In this paper, the presented quadratic residue diffuser modeling method is presented. Result of theoretical modeling at a frequency of 500 Hz was obtained. The estimated width of the wells is 9.4 cm. The sound scattering and sound diffusion coefficient different number of the diffusor wells were researched. It was obtained that with an increasing number of wells of the diffuser leads to an increment in sound diffusion at the design frequency for diffuser the same width sequences.

Highlights

  • Sound striking a surface is transmitted, absorbed or reflected; the amount of energy going into the transmission, absorption or reflection depends on the surface’s acoustic properties

  • Design frequency sound diffusion and scattering coefficients measured by 1/3 octave bands are plotted as a function of frequency

  • Sound diffusion and scattering coefficients measured by 1/3 octave bands are plotted as a function of frequency

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Summary

Introduction

Sound striking a surface is transmitted, absorbed or reflected; the amount of energy going into the transmission, absorption or reflection depends on the surface’s acoustic properties. Diffusion coefficient (d), is a measure of the uniformity of the reflected sound. The purpose of this coefficient is to enable the design of diffusers and to allow acousticians to compare the performance of surfaces for room design and performance specifications. Scattering coefficient (s), is a ratio of sound energy scattered in a non-specular manner to the total reflected sound energy. The purpose of this coefficient is to characterize surface scattering for use in geometrical room modelling programs.

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