Solving Fabry-Perot Problem: Increase L by \lambda/2 to Scan FSR

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Homework Statement



Show that it is only necessary to increase the distance L between two mirrors of a Fabry-Perot cavity by a distance \lambda/2 to scan the transmission peak over a range of one FSR

Homework Equations





The Attempt at a Solution


D=2L*sqrt(1+v^2/c^2)
 
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I've started guiding you through the solution of your other posted problem. This attempt is really lame. Start by looking in your book and telling me what the FSR is.
 
my book doesn't have FSR anywhere.
I have never seen this type of problem.
can you please guide me
 
Try looking for for the phrase free spectral range. Then look for a graph of the transmission through a Fabry Perot etalon, can you tell me how to draw the FSR on this graph?
 
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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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