Show that the following expressions for power reflectivity (i.e., ratio of reflected and incident power densities), for plane waves at the separation between two semi-infinite media, are equivalent to...

Show that the following expressions for power reflectivity (i.e., ratio of reflected and incident power densities), for plane waves at the separation between two semi-infinite media, are equivalent to those which can be derived from the Fresnel formulas:

for TE waves, and:

for TM waves, respectively.

Reconsider the Brewster angle problem in the framework of these new results.