3. Wave Retarders in Tandem. Write the Jones matrices for: (a) A m /2 wave retarder with the fast axis along the x direction. (b) A wave retarder with the fast axis at 45 to the x direction. (c) A /2 wave retarder with the fast axis along they direction. If these three retarders are placed in tandem, with (c) following (b) following (a), show that the resulting device introduces a 90 deg rotation. What happens if the order of the three retarders is reversed? 4. Polarization Rotation by a Sequence of Linear Polarizers. A wave that is linearly po- larized in the z direction is transmitted through a sequence of /N linear polarizers whose transmission axes are inclined by angles m (m = 1,2,...,N; 8 = w/2N) with respect to the x axis. Show that the transmitted light is linearly polarized in the y direction but its amplitude is reduced by the factor cos 6. What happens in the limit N oco? Hint: Use Jones matrices and note that R[(m + 1)8] R(m#) = R(0), where R/(#) is the coordinate transformation matrix