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\section{Introduction}  What happens to a plasma when there is an oscillating point charge? In order to solve this one needs to solve Gauss's law with the dielecttric dielectric  constant of the plasma. This gives in an equation for electric field and resonance cones are described by the radial component of the electric field. What is discovered is that the electric field forms a cone with cylindrical geometry described by it's resonance cone angle. Ray Fischer in his thesis paper showed by plotting cone angle with wave frequency for different densities that resonance cones aren't quite like dispersion relations but rather an intereference pattern [1].The sum of the wave numbers for different frequencies interefere to give a large electric field at the resonance cone angle and no electric field at any other positions.