Help on double slit with different polarizations

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In Young's Double Slit experiment, changing the polarization of light affects the interference pattern. When the polarizations of the two slits differ by 90 degrees, no interference occurs, resulting in a uniform intensity. For a 180-degree difference, the situation is equivalent to a 0-degree difference, leading to constructive interference. The relevant equation for intensity, I(θ) = Io(Sin[u]/u)^2 * Cos[v]^2, incorporates angle dependencies but requires clarification on variable assignments. Understanding these polarization effects is crucial for analyzing the resulting intensity graphs.
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I am taking Young's Double slit expariment setup, however now I am changing the polarization. Below is the typical intensity when both slits have the same polarization, what I need to know is how the intensity graph changes when there is a difference of 90º and 180º in the polarization between the two slits.

I have been trying to find any explination of this without luck, nor have I found what equation I need. I think I may need the equation I(θ)=Io(Sin/u)^2 * Cos[v]^2 because it has two angle dependences, but even if I do I am not sure what values go where.

Any help is greatly appreciated.


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At a difference of 90 degrees in polarization, there will be no interference.
180 degrees is the same as 0 degrees for polarization.
 

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