HAL wrote:
I am really referring to the acoustical SPL output of the array of drivers goes up every doubling of drivers. I think of that as the sensitivity increase. In array theory it is called Directivity Index, which is DI = 10 Log(N) (dB), where N is the number of drivers if they are point sources. That is 3dB/doubling of drivers for the array. That is the acoustical coupling of the drivers is below the 1/4 wavelength frequency of the driver spacing.
The two definitions of Sensitivity are either dB SPL/1w/1m or dB SPL/2.83Vrms/m, for the equivalent into an 8 ohm driver of 1 watt. I am just referring to that style of definition for power. The acoustical output goes up by 6dB/doubling of drivers (20 Log(N)).
Since the line array is also a cylindrical radiator, the spatial loss is 3dB per doubling of distance instead of 6dB for a spherical radiation pattern. This would be 6dB more SPL at 4 meters for the listening position.
These are my references, so maybe confused.
The real definition of sensitivity refers to power. The reference to voltage is a marketing ploy because at lower impedances the same voltage results in more power. When the SPL is recalculated with the power reduced (ie voltage reduced) to the same power as the higher impedance driver the lie is exposed. BTW, I'm surprised that you are so worried about sensitivity and SPL. From what I have seen you will not have any problem generating lots of sound from this system. I would be more worried that using a lot of power on each line driver will run them out of linear excursion or power handling. With as many drivers as you have coupled with the fact that you will be in the near field I don't think you will have trouble developing very satisfactory SPLs.
Tom