I am trying to reduce floor bounce interference and moden technology typically lines up the woofers vertically to distribute the bounce over a longer area reducing its impact.

My intent is to do somthing similar, but using a Karlson-type curve placed in front of the cabinet. The Karlson curve is well documented online and shown below.


When plotted in a Cad program, the curve comes out as below. Because my cabinet is not quite as tall as a Karlson design, the thinnest portion of the Karlson curve is "lopped off" in the drawing and therefore appears thicker than their design.


But, upon closer examination, while the Karlson Curve may be an exponential curve, it does not curve in accordance with the way sound "curves." An exponential sound curve would double the cross-section at regular intervals. For example, if the cross-section is 1" at a distance of 5" down and 2" at a distance of 10" down, it should double again and be 4" at 15" down, 8" at 20" down, 16" at 25" down, 32" at 30" down, etc.

Looking at the plot data we see that 30" down, the cabinet is 20.34" across. One octave up should have a cross section of 10.17" and this occurs at roughly 21" down for a distance of 9". Therefore, if we go up another 9", the cross-section should be half of 10.17" or ~5.09". But this would occur at about 14.5" down or about 6.5" up, rather than the expected 9" up. So, the curve (or possibly spliced curves) does not adhere to the ways of sound.

A proper curve for sound ("The Brody Bend") for the same horizontal distance is shown below. This spans 6 octaves with each octave at regular invervals doubling in cross-section.



Thoughts?