Analytic Analysis of Linear Growth Rates of Gyrotron for TE(lns) Mode with Zero-Temperature Beam Electrons.

Abstract

The approximate expression for the growth rate of the transverse electric (TE) mode with the azimuthal mode number, 'l', the radial mode number 'n', and the magnetic harmonic number 's' of the electron cyclotron maser instability with zero-temperatured beam electrons is derived and analytically examined. It has been found that there exist two branches of instabilities distinguished by their axial wavenumbers; the short and the long wavelength modes, and the estimates of their growth rates have been obtained. With maximization processes of the growth rates, the optimum conditions on various parameters have been found. In particular, it has been found that 's' equals 'l' mode with the beam center coinciding with the axis yields the highest growth rate. The exponential behavior of the growth with respect to the magnetic harmonic number 's' is also obtained.

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Document Details

Document Type
Technical Report
Publication Date
Jun 29, 1979
Accession Number
ADA074368

Entities

People

  • Joon Y. Choe
  • Saeyoung Ahn

Organizations

  • United States Naval Research Laboratory

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Angular Momentum
  • Bandwidth
  • Bessel Functions
  • Boundaries
  • Competition
  • Cyclotrons
  • Dispersion Relations
  • Dispersions
  • Distribution Functions
  • Electron Beams
  • Electron Density
  • Electrons
  • Equations
  • Frequency
  • Long Wavelengths
  • Magnetic Fields
  • Short Wavelengths

Fields of Study

  • Physics

Readers

  • Materials Science (Mechanical Engineering).
  • Plasma Physics / Magnetohydrodynamics

Technology Areas

  • Microelectronics