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Chris Spencer edited Introduction.tex
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\section{Introduction}
Resonance cones are the response in a plasma when there is an oscillating point charge. In order to solve this one needs to solve Gauss's law with the dielectric constant of a plasma. This gives 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 [1]. Ray Fischer in his thesis paper showed by plotting cone angle with wave frequency for different densities, resonance cones do not
ion relations behave like a dispersion relation 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.