deletions | additions       diff --git a/Introduction.tex b/Introduction.tex  index df68a73..aa6ec8a 100644  --- a/Introduction.tex  +++ b/Introduction.tex 
...
\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 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 intereferethe sum  to give a large electric field at the resonance cone angle and no electric field at any other positions.