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silvered or unsilvered surfaces

With similar plates, r = r $\scriptstyle\prime$, t = t $\scriptstyle\prime$, and the phase difference $\delta$ is for light passing through the gap at an angle $\theta$ to the normal is

 
$\displaystyle\delta$ = $\displaystyle{2 \pi \over \lambda}$2dcos($\displaystyle\theta$) + 2$\displaystyle\phi$ (1)

where $\phi$ accounts for any phase change on reflection - if the mirrors are coated so as to increase the reflection coefficients $\phi$ may be between 0 and $\pi$ , rather than being exactly $\pi$ .

As the phase shift depends on the angle $\theta$ , we see circular fringes, but because of the form of the Airy function they will be sharper than those in the Michelson interferometer.



Tony Harker
3/18/2002