Consider light incident from air onto glass of index n=1.5 at angle 70 degrees. The incident field is given by E;(z, t) = 1V/m cos(kz - wt) ni - 2V/m cos(kz - wt) fil, where z is along ki- a) Show that the transmitted field: Et = 0.529V/m cos(k'z' - wt) fig - 0.906V/m cos(k'z' - wt) fit . b) Find the angle between the light polarized parallel to the plane of incidence and the polarization of: i. the incident field. ii. the transmitted field. c) Draw a diagram of the polarization direction (the direction of the electric field) for the incident and transmitted field. In both, the plane of the plot should be the plane perpendicular to k. Hint: Define and use a new convenient coordinate system for the transmitted field