FAST WAVES IN PLASMA-FILLED WAVEGUIDES
Abstract
IN THE ANALYSIS OF THE WAVES THAT PROPAGATE IN A WAVEGUIDE COMPLETELY OR PARTIALLY FILLED WITH A STATIONARY PLASMA COLUMN OR AN ELECTRON BEAM DRIFTING WITH A UNIFORM VELOCITY AND COLLIMATED WITH A MAGNETIC FIELD OF FINITE MAGNITUDE IT IS NECESSARY TO INCLUDE THE EFFECTS OF THE ROTATION OF THE ELECTRIC FIELD IN ORDER TO TREAT THE WAVES WHICH HAVE PHASE VELOCITIES COMPARABLE TO OR GREATER THAN THE VELOCITY OF LIGHT. A general dynamic method is developed which is appropriate for the treatment of cases that cannot be solved with quasi-static calculations and which contains all the special cases that have been heretofore treated separately. A classification of modes of propagation is proposed and formulas for cutoff frequencies as functions of the cyclotron frequency as well as some representative Brillouin diagrams are given for both completely and partially filled waveguide. Equations for neutralized electron beam are obtained when the Lorentz transformation is applied to the equations for stationary plasma. The solutions for stationary plasma can be transformed directly into the solutions for neutralized electron beam. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 11, 1961
- Accession Number
- AD0266534
Entities
People
- T.e. Everhart
- V. Bevc
Organizations
- University of California, Berkeley