Re: Cardioid Subs in a Smaller venue.
Part of what I have experienced with a rear boundary and seems to be supported when I have tried to model it, is that even with the subs further from the wall, say up to 20 feet, the line at which the cancellation becomes significant seems to be further back than when the subs are in the open. That means if the subs are at the front of the stage and the band is pushed to the front of the stage, they are not performing where the cancellation really is.
I have never seen it really supported in any practical writing, but my theory is wave cancellation as we know it really isn't occuring in the nearby space to the driver (within the range where the driver does work on the air molecules), but instead if two drivers are trying to do work on the same molecules at the same time, no wave is formed. You may remember the Syn Aud Com discussion "Black Hole Sum" from a couple of years ago. The discussion was about what is happening when two subs are out of polarity with each other and the greater likelyhood of burning up speakers due to the change in impedence. My interpretation was based on conservation of energy: i.e. the amp is putting energy into the speaker, the speaker is not doing work on the air molecules, so the only place for the energy to end up is as heat.
I think this may have more to do with acoustic impedance and may even be fixable. However, I agree that the biggest problem with cardioid setups in small venues is when the environment seen by the rear woofer is dissimilar from that seen by the front woofers, e.g. too close to a wall. Seems that about 2M spacing from any boundary is sufficient, but that close small distance differences can have a large effect.
Part of what I have experienced with a rear boundary and seems to be supported when I have tried to model it, is that even with the subs further from the wall, say up to 20 feet, the line at which the cancellation becomes significant seems to be further back than when the subs are in the open. That means if the subs are at the front of the stage and the band is pushed to the front of the stage, they are not performing where the cancellation really is.
I have never seen it really supported in any practical writing, but my theory is wave cancellation as we know it really isn't occuring in the nearby space to the driver (within the range where the driver does work on the air molecules), but instead if two drivers are trying to do work on the same molecules at the same time, no wave is formed. You may remember the Syn Aud Com discussion "Black Hole Sum" from a couple of years ago. The discussion was about what is happening when two subs are out of polarity with each other and the greater likelyhood of burning up speakers due to the change in impedence. My interpretation was based on conservation of energy: i.e. the amp is putting energy into the speaker, the speaker is not doing work on the air molecules, so the only place for the energy to end up is as heat.