Chris Spencer edited Introduction.tex  about 10 years ago

Commit id: 85ef2d9d0aa54e7143b501c7649bcd0acdb74203

deletions | additions      

       

\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 the 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, 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.