(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A beam of light of frequency f is shot from point P in medium one ( refractive index = n ) to a point Q in medium two ( refractive index = N ) . Imagine a plane interface separates the two mediums. The perpendicular distance from P to the plane interface is a . The perpendicular distance from Q to the plane interface is b .The distance from P to where the beam intersects the plane interface is A . The distance from Q to where the beam intersects the plane interface is B . The speed of light in vacuum is c .

In terms of f , c , n , N , a , b , A , B , or a subset of these quantities what is the change in frequency [tex]\delta[/tex]f as the light passes from medium one to medium two . Give your answer for the two cases where N > n and N < n and indicate whether the shift is up or down as the light moves from mediul one to medium two.

2. Relevant equations

[tex]\lambda[/tex]=c/f

3. The attempt at a solution

I tried to mess around with the geometry to calculate the change in speed and then convert that to change in frequency, but it just doesnt make any sense to me. Wouldn't the frequency only change if the second medium had a different polarization? If so, is it possible to compute this change using the given data?

sorry about the huge image couldn't figure out how to resize it >:/

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# Change of Frequency Through Different Medium

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