Chapter 8, Problem 3P

A plane wave traveling in a medium with ϵ_r1 = 9 is normally incident upon a second medium with ϵ_r2 = 4. Both media are made of nonmagnetic, nonconducting materials. If the magnetic field of the incident plane wave is given by

$H^{\text{i}}=\hat{z}2\text{ cos(2}\pi \times {\text{10}}^{\text{9}}t-ky\text{)}$ (V/m)

1. (a) Obtain time-domain expressions for the electric and magnetic fields in each of the two media.
2. (b) Determine the average power densities of the incident, reflected, and transmitted waves.