1- A plane-wave traveling in a medium with $\epsilon_{r1} = 9$ is normally an incident upon a
second medium with $\epsilon_{r2} = 4$. Both media are made of non-magnetic, non-conducting
materials. If the magnetic field of the incident plane-wave is given by:
$\vec{H}_i(y) = \vec{e}_z \frac{1}{20\pi} cos(4 \pi \times 10^9 t - ky)$ (A/m)
a- Find the wave-number (k), wave-length ($\lambda$), phase velocity ($v_p$), intrinsic
impedance ($\eta$) for mediums.
b- Determine the reflection coefficient ($\Gamma$) and the transmission coefficient ($\zeta$) by
using boundary conditions.
c- Write the phasor form of electric and magnetic fields for reflected and transmitted
waves.
d- Determine the average power density of the incident, reflected and transmitted
waves.
