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Re: [ATM] A more or less new optical test
At 14:08 10/31/05, Nils Olof Carlin wrote:
>But browsing the text 2-3 times, not too closely, I fail to see what
>you refer to about the geometric treatment of the Foucault test.
Nils,
He talks about integrating a differential equation to get a wavefront
from its gradient, where the relationship between the wavefront
gradient and intensity in the shadowgram is derived from geometric
optics. That's equation 3. Then he does some standard Fourier optics
calculations and comes up with an equation for the amplitude in the
shadowgram at equation 11, notes that the (squared modulus of) that
amplitude doesn't equal the intensity derived in equation 3, and then
lists three assumptions that need to be made to make them
approximately equal. Those same three assumptions would apply to the
Foucault test since the underlying physics and mathematics are the
same. The only difference is the form of the mathematical description
of the spatial filter being used.
Mike
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Michael Peck
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