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Very interesting

though certainly not surprising to me. You'll find that you can get pretty much the same result at 10 kHz if you take the inside radius up to eight inches, but realistically there's not much point. I wouldn't even use a four inch radius for a system that doesn't go down to at least a 200 Hz Fh, as there's no advantage to bending the horn where a straight horn is small enough to be perfectly manageable. That's the odd thing about folding a horn while preserving the HF response, in that the higher you want the HF to go the larger the bend radius required to do it, so for a mid or HF system the folded horn can easily end up quite a bit larger than a straight horn.
I especially like the way you have the HF waves represented as coherent bundles of energy, because that is far closer to reality than Huygen's concept. In fact, that's why Huygen's model of the corner reflector is incorrect, as he depicts the wave as a grouping of independant particles rather than a single entity. He was right in that if your geometry results in the fracturing of the wave into separate 'pieces' that destruction of the wave results. What he didn't realze is that it is quite possible to design a horn bend that allows the wave to pass intact irrespective of the wavelength. In fact this serves as one of the cornerstones of my patent application, along with a few other features required to obtain wide-band folded horn performance.


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