Electromagnetic Oscillations in Cylindrical Plasmas with Electron Beams Interactions

The dispersion relation for a radial inhomogeneous cylindrical plasma in a strong magnetic field is studied. In order to determine the fundamental transversal magnetic mode (TM_01), we used a numerical algorithm based in expanded Fourier-Bessel functions. Both the effect of the electron beam-plasma interaction and the resonances for a finite transversal cylinder conductor are studied. We used different density profiles and temperatures for the plasma and the beam.