Chapter 8, Problem 2P

A plane wave traveling in medium 1 with ϵ_r1 = 2.25 is normally incident upon medium 2 with ϵ_r2 = 4. Both media are made of nonmagnetic, nonconducting materials. If the electric field of the incident wave is given by

$E^{\text{i}}=\hat{y}8\text{ cos(6}\pi \times {\text{10}}^{\text{9}}t-30\pi x\text{)}$ (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.