Derivation of Radiation from a Dipole immersed in a Homogenous Magnetized Plasma

We are considering a dipole antenna immersed in cold plasma and investigate its radiation patterns. We are solving Maxwell's equations using (1) analytic solutions for the case when the antenna is parallel to the magnetic field $B_0$ and (2) numerical solutions for any orientation and angle $\theta$ of the antenna. We investigate various phase velocities regimes as well as the effect of varying the frequency and the plasma parameters on the electromagnetic waves are presented and discussed.