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A man sends a beam of red light along the z-axis through a polaroid filter that...

A man sends a beam of red light along the z-axis through a polaroid filter that passes only x-polarized light. The beam is initially polarized at 30 degrees to the x-axis. The beam subsequently is passed through a filter which lets through only right-circularly-polarized light.

(a) Write down the basis corresponding to the 30 degrees, linearly polarized basis in terms of R and L basis.

(b) Evaluate the relative intensity of the beam of red light after light after it goes through the RCP filter, normalized with respect to its initial intensity.

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