Rigorous Derivation of General Dispersion Relationshiip for Gyrotron.
Abstract
General dispersion equation for the electron cyclotron maser instability in co-axial cylindrical geometry is derived in the framework of linearized Vlasov-Maxwell system. While previous works have been carried out for the azimuthally symmetric mode and for the specified equilibrium electron distribution function in simple waveguide structure, we have extended our analysis to include the azimuthally mode with general equilibrium distribution function. After selfconsistent analysis of the equilibrium distribution function, we have solved the orbit integral for the perturbed distribution function closely following the previous analysis by Chu, and have derived a new rigorous formal dispersion equation for arbitrary equilibrium distribution function. The resulting equation is useful to find the dispersion relation of electron beam with spread in energy and momenta. A closed form of dispersion relation for the cold beam electrons is given as an example. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 20, 1979
- Accession Number
- ADA072005
Entities
People
- Joon Y. Choe
- Saeyoung Ahn
Organizations
- United States Naval Research Laboratory