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question about mathematical model for the one dimensional exp. horn

Hello Chaps!

I’m trying to explain to myself the physics concerning back loaded horns. The paper with link pasted below seems to be very useful for such cases.

So,
The question is about constants I, C1 and C2 in equations (2.4), (2.5) and (2.6) on page 5 of the document:
http://www.quarter-wave.com/Horns/Method_Derivation.pdf
by M. J. King

Could somebody give some useful information what are physical meaning of these constants? And if it is possible please to explain more about valid ranges they can assign.

It will be very useful for me to continue on next pages after some hints I expect; acoustic Z is calculated as function of “w” /omega/ - page 6.

Thanks

Quote:

The question is about constants I, C1 and C2 in equations (2.4), (2.5) and (2.6) on page 5

The variable "I" is the imaginary number, the square root of negative one.

The variables C1 and C2 are unknown constants that are evaluated using the boundary conditions for u(0,t) and p(L,t) shown at the top of page 6.

Martin,

Thank you for your post. I realize that I just received information about my question from the root!

You defined boundary conditions for u(x,t) and p(x,t) more understandable for me.

Regards,
Ioakim