On Sat, Jul 23, 2011 at 05:45:48PM -0700, Robert Greene wrote:

> To make sense of this jargon, suppose a source is on the line that is  
> equistant from three of the capsules.  Then its distance to those three
> will always be the same, and if the source is reasonably far away the  
> distance to the fourth capsule will be a constnat. This comes from the  
> Pythagorean theorem limit case in effect: at large distances , the
> difference between A to S and B to S is equal to the length of the  
> projection of the line from A to B onto the line from A to S (or B to S  
> these being parallel in the limit case).
>
> If one does NOT have such large distance to the source, the variation of  
> distances to the capsules will be extreme and also complicated.
> Just think of how the distances to the four face centers of the  
> tetrahedron will vary in odd ways when the source is close by!
>
> So it seems to me(and I am prepared to be all wrong!) that
> the Soundfield mike could not be expected to work at all well
> except when the source is quite far away--a matter of meters, not
> inches.  At close distances, there will be wild phase differentials among 
> the four mike capsule outputs of a kind that depends on the distance
> of the source from the center of the mike--something which the mike
> does not "know" so that it cannot be compensated for.
>
> Am I all wet here?

Just a little :-) See also my previous post which hints at
this as well.

For a classic soundfield mic (using directional capsules),
the 'velocity' signals (X,Y,Z) are formed mostly by using
the directiviy of the capsules. Imagine they are really
coincident. In that case it's just a matter of combining
the four signals in such proportions that the sum of the
omni components in each of them is zero and the fig-8 ones
combine in the right direction.

This is still the dominant mechanism if the capsules are
not really coincident. There will be a contribution from
the finite distance as well, but this will be quite small
at low F. It would require a 'Blumlein shuffler' to be of
the same order of magnitude as the contribution from the
directivity of the capsules themselves. This is what SF
mics using omnis on a sphere do - it requires significant
gain on difference signals at LF, and without that gain
X,Y,Z would be of very low magnitude at LF.

In a normal SF mic the effect could become significant if
the distance between the capsules is a non-trivial fraction
of the source distance AND of the wavelength, so not really
at low F.

Ciao,

-- 
FA

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