Cyclotron Maser Instability for General Magnetic Harmonic Number,
Abstract
This paper examines the cyclotron maser instability for general magnetic harmonic number transverse electric (TE) and transverse magnetic (TM) waveguide modes in a conducting cylinder of radius R sub c. The analysis is carried out for a hollow electron beam (radius R sub 0) propagating parallel to a uniform axial magnetic field B sub 0 e sub z. It is assumed that nu/gamma sub 0 < < < 1, where nu is Budker's parameter and gamma sub 0 mc-squared is the electron energy in a frame of reference moving with the beam axial velocity beta sub b ce sub z. One of the most important features of the analysis is that the instability growth rate for magnetic harmonic numbers s = 2,3,... is comparable to the growth rate of the fundamental (s = 1) mode, particularly for moderate electron energy. Moreover, it is shown that the instability growth rate can be maximized by appropriate choice of the geometric parameter R sub 0/R sub c.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1975
- Accession Number
- ADA070593
Entities
People
- Hwan-sup Uhm
- K. R. Chu
- Ronald C. Davidson
Organizations
- University of Maryland