Theory of high-harmonic rectangular gyrotron for TE(mn) modes
Abstract
In this paper, the linearized relativistic Vlasov equation is solved and a dispersion relation is calculated for the interaction between a relativistic electron beam and the electromagnetic fields of a rectangular waveguide supporting TE(mn) modes. The dispersion relation is simplified to the special case of a frame of reference moving with the electrons and the resulting coupling coefficient epsilon(mn)super l is calculated for various TE(mn) modes. The dependence of epsilon(mn)super l on the parity of the harmonic number l and various mn modes of the waveguide are discussed.
- Publication:
-
IEEE Transactions on Electron Devices
- Pub Date:
- September 1984
- DOI:
- 10.1109/T-ED.1984.21690
- Bibcode:
- 1984ITED...31.1212F
- Keywords:
-
- Cyclotron Resonance Devices;
- Field Mode Theory;
- Harmonic Analysis;
- Rectangular Waveguides;
- Relativistic Electron Beams;
- Wave Dispersion;
- Coupling Coefficients;
- Larmor Radius;
- Linearization;
- Plasma-Particle Interactions;
- Propagation Modes;
- Vlasov Equations;
- Electronics and Electrical Engineering