2 A laser emits a wave that can be considered locally flat with average power density av = 3 mW/m and wavelength in vacuum = 620 nm, and whose polarization can vary. The wave passes through an ideal retarder of effective length L = 155 nm with its fast axis in the vertical direction. It is intended to eff determine the polarization of the wave emitted by the laser from the analysis of the wave after the retarder. The following 5 cases are considered in which the wave obtained after the retarder has been determined to have polarization: A) linear in vertical direction, B) linear to a = 300 from the vertical turning clockwise watching the wave move away, C) linear to a = 450 from the vertical turning counterclockwise watching the wave move away, D) circular to the right, E) elliptic to the left with major axis in the vertical direction and axial relation RA = It is requested: a) for each of the cases described, complete phasor expressions clearly specifying the reference axes chosen, of the electric field associated with the waves a1. At the retarder output, respectively EoUTA (7), EOUTB (F), EOUTC (F), OUTD (7), OUTE(F); a2. At the retarder input/ emitted by the laser, respectively EINA (F), EINB (F), EINC (F), EIND (), EINE (); b) Describe as completely as possible the polarization of the wave emitted by the laser in each case.