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On axis SPL -VS- acoustic power response

Hi Bill

GiGo is very true, anytime there are assumptions there are places for “exceptions” to leak in..
I am not too familiar with the program Horn resp but much more so with ML’s alignments.
If horn resp makes the same assumptions that ML does, then the answer is that what is plotted is NOT on axis SPL but acoustic power with out directivity being accounted for.

ML’s math does calculate based on the band limits of acoustic power, not on axis response (possibly horn resp does also).
In one parsing of ML’s math, one can enter the driver stuff and get the horn stuff.
If one enters parameters corresponding to the motor, mass and area of a compression driver, one gets a horn that has about a 10:1 compression ratio and mass roll off around 2-3KHz (just like the real thing).
Measure a compression driver on the real horn (which is a curved wall flare) and one can see more or less flat response (on axis) for octaves past 2-3KHz.
In this case the difference is that the horn’s narrowing pattern with increasing frequency acts to confine the radiation to a smaller and smaller angle, compensating the actual power roll off on axis.
In this case, if one measured the sound radiated from the speaker in all directions and averaged it, one see’s that the acoustic power does indeed fall due to the mass corner (and inductive corner) its just that the changing directivity can add back 8-10-12 dB of frequency dependant level on axis compared to the total acoustic power.

I don’t know if that explanation makes sense.
Another way would be:

Acoustic power response is not the same shape curve as on axis SPL unless the directivity is constant.
Cheers,

Tom





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