Q2: [15 points]
For a wave propagating in a non-magnetic media, the electric field is:
$\vec{E}(\vec{R}, t) = \hat{a}_x \ e^{-3z} \cos(10^7 \pi t + 4Z) + \hat{a}_y 3 \ e^{-3z} \sin(10^7 \pi t + 4Z) \text{v/m}$
a) Determine the direction of propagation
b) Determine the values of $k$, $v_p$, $\gamma$, $\eta$, $\alpha$ and $\beta$
c) Write the expression for $\vec{H}(\vec{R}, t)$
d) Determine the polarization of this wave