i am trying to understand how a projection operator will differentiate between +45 polarization and -45 polarization?
like for 45 polarization I can write 1/Sqrt2[H+V] and for -45 1/Sqrt2[H-V] the what will differentiate them by projection?
https://en.wikipedia.org/wiki/Jones_calculus
Here the matrices of different optical elements, including polarizers, are given. If you want to rotate your polarizer, you have to apply the rotation matrix R to your polarizer operator (also given in that article).
Example: a projection to the V plane is given bei (0 0; 0 1); applying this to your example gives you: 1/Sqrt(2)V or -1/Sqrt(2)V.
Florian provided you with the hook, I will settle with the fish:
A polarizer tilted by 45 Deg will let 1/Sqrt2[H+V] path, while it will block the other.
The matrix is: 0.5 * [1 1; 1 1]
A polarizer tilted by 45 Deg will let 1/Sqrt2[H+V] path, while it will block the other.
The matrix is: 0.5 * [1 1; 1 1]
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