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Acoustic Diffuser


Anton's Audio, Acoustic Sound Reinforcement.
When music halls are evaluated for their sonics, top accolades usually go to those with best diffusion. Diffusers add tonal dimension, a sense of spaciousness and vibrancy to the room. They reduce the hot spots induced by standing waves and blend the flutter echoes. Any listening environment can be improved with acoustic diffusion.

When a sound wave strikes a wall, three things happen to it in various degrees. Some of it is absorbed and turned into heat, some of it passes through into the space behind and some is reflected back into the room. The various materials, structures, densities; shapes, sizes and locations, and the wavelength and sound intensity all interact with each other to produce the final result. In the majority of cases, what happens with the absorbed/reflected energy is the dominating factor. This is where diffusers come into play.

The main thing a diffuser does is scatter sound in various directions. When a sound wave strikes the diffuser it will be re-directed in a host of other angles. The total energy cannot be more than that of the incoming sound, consequently each (individual angle) re-direction is of less intensity. A listener would not hear a reflection from a wall, but hear instead a blend of thousands of smaller ones, arriving at various times and angles from other surfaces within the room. There is minimal loss to overall SPL. The net result is a small room can have extended high frequency RT (less need for absorbers) and a large room can have it's fluter echoes modified.

Diffusers based on the quadratic residue of prime numbers are known to give good and predicable results. (A quadratic residue is what you have left over when the sums of a number are subtracted from natural number squares.) They are also visually attractive and can be incorporated into an entire wall or ceiling.

So let's design one. It will be a panel consisting of parallel rectangular wells, each a certain depth, joined to the next one with the faces, or well openings on the same plane. A diffusers bandwidth is wavelength dependent. The depth of the deepest well determines the low end, and the width (or narrowness) of the well determines the high end. The deeper the lower, the narrower the higher.

The number we choose will determine the relative well depths and pattern sequence. Let's try the number 11, the quadratic residue sequence being; 0, 1, 4, 9, 5, 3, 3, 5, 9, 4, 1, 0. Each of these numbers is a unit factor and represents the well depth and it's location in the sequence. (Notice the mirror image?) If the units are inches then the first well would be flush with the panel face, the second one inch deep, the third four inches deep the fourth nine inches deep, the fifth five inches deep, and so on. If you wanted to repeat the pattern, the zeros on each end of the sequence would be common (only one flush "well"). Now if each well is 2 inches wide, then the entire panel would be 22 inches across plus the accumulated thickness of the material used for the well sides or dividers. It's height would be whatever happens to work nicely for you, from floor to ceiling or just a few feet. (The affect on the room acoustics is proportionate to the surface area covered.)

A two inch well width produces a diffuser with a top end of about 6KHz. A maximum well depth of 9 inches will diffuse down to about 300Hz. Within these frequencies this diffuser will reradiate in a nearly hemispherical pattern (hemidisc) on the plane perpendicular to the wells. If they run vertically, then the re-radiation will be horizontal. A sound arriving from above or below the plane axis will be diffused into the reflectance angle.

This diffuser will continue to have some acoustic effects beyond these frequencies but not in any way easily predictable or consistent.

Copyright © 2000 Anton Niedersteiner. All rights reserved. Revised 11/03.

Example of a custom ceiling diffuser:

Photo courtesy of McSquared System Design Group, Inc.

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