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\section{Appendix}  The electron cyclotron frequency is given by \[\omega_{ce}=\frac{eB}{m_e}\] where $e$ is the elementary charge, $B$ is the magnetic field and $m_e$ is the electron mass.  The plasma frequency is given by \[\omega_{pe}=\sqrt{\frac{ne^2}{m\epsilon_0}}\] where $n$ is the plasma density,and $\epsilon_0$ is the permittivity of free space.   The voltage measured by the bdot probe is given by \[V_{measured}=N_{loop}A\frac{\partial\vec{B}_{norm}}}{\partial \[V_{measured}=N_{loop}A\frac{\partial\vec{B_norm}}}{\partial  t}\] where $N$ is the number of loops of a side of the bdot probe, $A$ is the area of a face of the probe,and $\frac{\partial\vec{B_{norm}}}{\partial t}$ is the change in magnetic field normal to the face of the probe. The phase velocity is \[v_{Phase}=\frac{\omega}{k}\] where $\omega$ is the wave frequency and $k$ is the wave number.