3 (20 points). Consider an unpolarized beam of 1W incident to a setup that is composed of a

polarizer (horizontal transmission), a half-wave plate, and another polarizer (vertical

transmission). To get the maximum transmitted power, what should be the direction of the fast

axis of the half-wave plate? What is that maximum transmitted power? Derive an express of the

transmitted power as a function of the fast axis angle (measured from horizontal).