When considering a monochromatic electromagnetic plane wave at normal incidence between two media we tacitly assumed that the reflected and transmitted waves have the same polarization as the incident wave. Prove that this must be so. To prove this, let the polarization of the incident wave be in the & direction like in lecture, and then take the polarization vectors of the transmitted and reflected waves to be RT = cos 07 & + sin OT 9. DR = COS OR & + sin OR 9 and prove from the boundary conditions given in class that OT = OR = 0