1) A plane wave reflects from a surface where the angle of incidence is greater than the critical angle for total internal reflection. Show that the incident and scattered electric fields form a standing wave normal to the surface and a propagating wave parallel to the surface. What are the periods of the standing and propagating waves if the incident wavelength of the light is lambda?
2) Show that at the Brewster's angle that the reflected and transmitted wave are 90 degree apart.
