How to Derive the Formula for Separation in Fresnel's Biprism Experiment?

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Homework Statement



Show that the separation of the two coherent sources is given by d=2aA(n-1) where n is the refactive index of prism.

Homework Equations



from youngs double slit experiment y=Rm\lambda/d

The Attempt at a Solution



i have no idea how to derive this formula. I've seen it many times before but nowhere shows the derivation. i can see youngs experiment is similar, but fail to see a connection?

help!

there should be a picture attached to this post. hopefully!
 

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Try this URL:http://discovery.bits-pilani.ac.in/~raj/fresnel-biprism.pdf

ehild
 
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This figure is from "Introduction to Quantum Mechanics" by Griffiths (3rd edition). It is available to download. It is from page 142. I am hoping the usual people on this site will give me a hand understanding what is going on in the figure. After the equation (4.50) it says "It is customary to introduce the principal quantum number, ##n##, which simply orders the allowed energies, starting with 1 for the ground state. (see the figure)" I still don't understand the figure :( Here is...
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The last problem I posted on QM made it into advanced homework help, that is why I am putting it here. I am sorry for any hassle imposed on the moderators by myself. Part (a) is quite easy. We get $$\sigma_1 = 2\lambda, \mathbf{v}_1 = \begin{pmatrix} 0 \\ 0 \\ 1 \end{pmatrix} \sigma_2 = \lambda, \mathbf{v}_2 = \begin{pmatrix} 1/\sqrt{2} \\ 1/\sqrt{2} \\ 0 \end{pmatrix} \sigma_3 = -\lambda, \mathbf{v}_3 = \begin{pmatrix} 1/\sqrt{2} \\ -1/\sqrt{2} \\ 0 \end{pmatrix} $$ There are two ways...
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