Join Date: Oct 2003
Location: Columbus, Indiana
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No. At least in theory, there would not be any loss of sound per distance. (at least in a perfectly executed DBA with straight sides)
In point source examples, the energy being produced, i.e. the wavefront, occupies a larger and larger sphere as it radiates out. Fixed amount of input energy, stretched over a larger and larger surface - thus the decrease in energy in any one small part of that spherical wave.
Line arrays radiate out in a cylindrical wave, therefore less surface area per distance and better retention, if you will, of that original energy.
The DBA produces a plane wave - which continues to occupy the exact same amount of surface area as it travels through the room - therefore no decrease in local intensity/energy level.