Frequency vs. angle

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Hello!

For my new loudspeaker project I would like to do some calculation or simulation and have a specific question:

If I have a given diameter of my speaker membrane and give different frequencies on the speaker, then the opening angle of the "sound beam" is smaller the higher the frequency is. Ok this I know.

But how could I calculate how big this angle is for different drivers for different frequencies? Especially if a horn comes inside this game? I tried some simulations with abaqus but unfortunately something seems to be wrong with it and nobody in our company can help as we usually need it NOT for acoustic simulations ;-)

Reason is I want to build a coax speaker and want to adopt the HF horn correctly to the woofer. I do not care about delay between both as this I can correct with electronic but I would like to get close to a point source...for this same opening angle at the crossover seems important for me.

cheers!
 
There is also software called axidriver that is a free download suitable for this.
For back of the envelope calculations, (116*lambda)/d, is good enough because the actual directivity above the piston range depends upon cone profile.
rcw
 
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