Sensitivity of a relativistic backwardwave oscillator to Budker's parameter
Abstract
Using the selfconsistent Vlasov approach, the sensitivity of the growth rate and frequency of the transverse magnetic modes of a relativistic backwardwave oscillator to Budker's parameter is calculated. A closed algebraic dispersion relation is derived, representing the linear stability properties of the freestreaming modes of a relativistic, thin, hollow, cylindrical electron beam moving down the axis of a discloaded waveguide in a strong axial magnetic guide field. The analysis is restricted to small ratios of Budker's parameter to the relativistic gamma factor of the beam.
 Publication:

IEEE Transactions on Plasma Science
 Pub Date:
 December 1985
 DOI:
 10.1109/TPS.1985.4316472
 Bibcode:
 1985ITPS...13..553B
 Keywords:

 Backward Waves;
 Microwave Oscillators;
 Relativistic Electron Beams;
 Self Consistent Fields;
 Waveguides;
 Magnetic Fields;
 Maxwell Equation;
 Polar Coordinates;
 Vlasov Equations;
 Electronics and Electrical Engineering