Relationship of excursion, surface and low frequency produced?

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Hello,
I would like to know what is the relationship between Excursion Xmax, Surface area Sd, of the driver and the Frequency it can Produce?
(I am trying to compare passive radiator in terms of this quality)
Thanks in advance.
 
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As to piston size vs frequency output drops at square of inverse hz below resonance.

This is due to the diagram not being able to 'grip' the air and it moving slower to reproduce longer wavelengths.

The solution is a diaphragm which in creases surface area as frequency drops, TRW-17 or propeller on a plane as used for braking.
 
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