Linear and nonlinear electron cyclotron interaction in open resonators
- 1 February 1982
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 25 (2), 931-946
- https://doi.org/10.1103/physreva.25.931
Abstract
In this work the electron cyclotron maser oscillator interaction is analyzed in an open resonator configuration with a magnetostatic field along the resonator axis. One of the salient features of this configuration for generating high-power short-wavelength radiation is its ability to mode select. Both the linear and the nonlinear analysis are developed for an arbitrary value of the refractive index . Specializing to luminous waves, , it is shown that the linear-gain curve is symmetric about synchronism and that instability can occur even at exact synchronism, for appropriate initial beam distributions. The nonlinear integrals of the motion are obtained, indicating that the total energy is available for conversion. The nonlinear evolution is described by a single differential equation, and the nonlinear efficiency is shown to depend on only four combinations of the beam, field, and resonator parameters. Nonlinear efficiencies up to 15% can be achieved. For a relativistic beam, a substantial frequency upshift is possible, with efficiencies up to 10%. Efficiency enhancement is possible, e.g., by the introduction of a two-stage resonator. In such a configuration, efficiencies exceeding 30% are calculated. Finally, the requirements for beam temperature and mode selectivity are found not to be particularly restrictive.
Keywords
This publication has 22 references indexed in Scilit:
- Spatial and Temporal Coherence of a 35-GHz Gyromonotron Using the TE/sub 01/ Circular ModeIEEE Transactions on Microwave Theory and Techniques, 1980
- The nonlinear theory of efficiency enhancement in the electron cyclotron maser (gyrotron)Journal of Applied Physics, 1980
- The gyrotron: High-power source of millimetre and submillimetre wavesInfrared Physics, 1978
- Theory of electron cyclotron maser interaction in a cavity at the harmonic frequenciesPhysics of Fluids, 1978
- Influence of resonator profile on the maximum power of a cyclotron resonance maserRadiophysics and Quantum Electronics, 1975
- An electron synchrotron maser based on an intense relativistic electron beamJournal of Applied Physics, 1975
- Coherent nonlinear theory of a cyclotron instabilityPhysics of Fluids, 1975
- Concerning the theory of multimode oscillation in a gyromonotronRadiophysics and Quantum Electronics, 1974
- Classical LaserPhysical Review A, 1972
- The induced radiation of excited classical oscillators and its use in high-frequency electronicsRadiophysics and Quantum Electronics, 1971