I am looking at the Poincaré sphere and I am trying to compute a Jones matrix for a particular rotation. Specifically, I would like it to perform the following maps:

$O :|H \rangle \rightarrow |R \rangle$

$O :|V \rangle \rightarrow |L \rangle$

$O :|L \rangle \rightarrow |H \rangle$

$O :|R \rangle \rightarrow |V \rangle$

where $|R \rangle$, $|L \rangle$ are right circular and left circular light. Is this possible? I should mention that I would also accept the same equations with L,R replaced by linearly polarized light $|D \rangle$, $|A \rangle$. If it is possible, what would be common plates that could do it?

This post imported from StackExchange Physics at 2017-10-08 21:12 (UTC), posted by SE-user Ben Sprott