Problem 5.186

Monochromatic light with circular polarization falls normally on a crystalline plate cut parallel to the optical axis. Behind the plate there is a Nicol prism whose principal direction forms an angle $\varphi$ with the optical axis of the plate. Demonstrate that the intensity of light transmitted through that system is equal to $$I=I_{0}(1+\sin 2 \varphi \cdot \sin \delta)$$ where $\delta$ is the phase difference between the ordinary and extraordinary rays which is introduced by the plate.