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Let the electric field vector of a plane electromagnetic wave propagating in a homogeneous medium be expressed as $\textbf{E}=\hat{x}E_{x}e^{-j(\omega t-\beta z)},$ where the propogation constant $\beta$ is a function of the angular frequency $\omega$. Assume that $\beta (\omega )$ and $E_{x}$ are known and are real. From the information available, which one of the following CANNOT be determined?

1. The type of polarization of the wave.
2. The group velocity of the wave.
3. The phase velocity of the wave.
4. The power flux through the $z=0$ plane.