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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?

- The type of polarization of the wave.
- The group velocity of the wave.
- The phase velocity of the wave.
- The power flux through the $z=0$ plane.