A plane wave in free space with $\vec{E}=(\sqrt{\pi})(10.0$ $\left.\hat{x}+11.8 \hat{y}) \cdot \exp j\left(4 \pi \times 10^{8} t-k z\right)\right]$,
where $\hat{x}$ and $\hat{y}$ are unit vectors in the $x-y-$ directions, respectively, is incident normally on a semi-infinite block of ice as shown in the figure is For ice, $\mu=\mu_{0}, \sigma=0$, and $\varepsilon=9 \varepsilon_{0}(1-j 0.001)$.
- Calculate the average power density associated with the incident wave.
- Calculate the skin depth in ice.
- Estimate the average power density at a distance of $5$ times the skine depth in the ice block, measured from the interface.
