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Tomservo, validity of Leach's math model - conical horn?

Tom,

reading the Leach's paper, the mathematics was derived based on an assomption of an exponential horn.

In a later Letter to Editor, in clarifying a reactance anulling, Leach made an assertion, without any further discussion, that the model is also valid for hyperbolic horns.

Based on your experience, do you agree?

Now, assume a hypotheticl person, who build a replica of your/Nick's Unity, for now only with a high-frequency driver and an equalization network. Being rather pleased with the sonics, but displeased with the bandwidth (about 900 Hz - 20kHz), the hypothetical person would like to extend the frequency response using the approach of your patent no. 6,411,718, "Sound reproduction employing unity summation aperture loudspeakers."

However, given that the mid-range drivers are pure unobtanium, and the Unity horn being approximatelly a conical horn, could the hypothetical person use the Leach's math to arrive at the parameters of the mid-range drivers, and then buy something off the shelf?

Any other approach, if this is not a viable idea?

Thank you,

M


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