jwl wrote:
but most agree that pulling the panels out from the wall approximately equal to the panel thickness is the optimum.
I don't,
And no acoustics book I know about does.
In fact the further away the better (within reason).
If you have 50 mm panels (as z99 states above), it's better to make the total thickness as large as practical. An 150 mm cavity will be significant better than a 50 mm cavity.
Hence Z99 see how you can hang them, and what's still feasable for you based on the idea the further the better. The total thickness (cavity + board) is a more defining factor than this ratio.
That's where standard "mineral wool tile" suspended ceilings are based on. This are relative thin tiles on large cavities often in a ratio 1:10 or even less.
Just call whatever mineral wool tiles producer telling their suspended ceilings are acoustically best mounted with a 50/50 %, 1:1 ratio and see how they will respond.
The reasoning JWL refers to is based on
a plane wave at
straight incidence for a
very thin absorptive material.
A related picture of Everest (used on certain faqs) is used in his book to explain some basics, not to substanciate this 50/50 % relationship.
This same topic comes up over and over, mainly caused by one "Acoustics FAQ".
That FAQ shows the picture meant by Everest to show physical principles, not real live circumstances. And the picture on the next page meant by Everest to show how these principles translate in a real live measurement is not shown on that FAQ.
Hence Everest himself, nowhere in that book, of which a picture is used out of the context it's intended for, confirms, or even sideways refers to a 50/50 % relationship as an optimum for practical use.
"
Most agree" here means: "follow what that FAQ and its Author states about it."
And I pitty to agree with the notion "Most", which shows the magnitude of the problem. At least when related to studio groups.
EDITED:
I just checked Everest now to see what he himselfs states about the effect of a cavity behind absorption material:
The following is to be found at pages 191-192 of
The Master Handbook of Acoustics:
Analyse the above and one can only conclude that the picture used on that FAQ is used to substanciate something NEVER meant by Everest as such. Therefore is used out of context, just to substanciate a private assumption.
NOTHING in Everest confirms this 1:1 ratio These stylized pictures and simple text refer to a continueing increase (within limits not defined here and rather complicated). They represent what Everest himself has to tell about the effect of increasing the cavity.
Everest not only not confirms this 1:1 ratio but via this picture contradicts it.