Chapter 5, Problem 5.47P

A wave specified by ${\text{E}}^{\text{i}}=12\pi \cos \left(2\pi \times {10}^{7}t-{\beta }_{1}z+\pi /4\right){\text{a}}_x\text{V/m}$ is incident from a nonmagnetic, lossless, ${\text{ε}}_{\text{r}}=9.0$ medium (at $z<0$ ) to a medium $\left(z>0\right)$ with $\sigma =0.020\text{S/m}$, ${\text{μ}}_{\text{r}}=2.0$, and ${\text{ε}}_{\text{r}}=16$. Find ${\text{H}}^{\text{i}}{\text{,E}}^{\text{r}}{\text{,H}}^{\text{r}}{\text{,E}}^{\text{t}}{\text{,H}}^{\text{t}}$, and the time-averaged power densities for the incident, reflected, and transmitted waves.