MICROWAVE GENERATION BY MEANS OF INTERACTION WITH ANISOTROPIC MEDIA.

Abstract

Harmonic generation caused by the interaction of a modulated electron beam with a plasma is investigated by using the Boltzmann equation and the macroscopic equations of motion. For the model assumed it is seen that the two methods yield the same results to second order. The solution of the macroscopic equations is presented, and the results are presented for the growing wave term of the second harmonic electric field. A new model for the beam-plasma system is assumed in the calculation of characteristic impednance for matching purposes. A finite diameter column in a metallic drift tube is considered and there is a finite static axial magnetic field. The beam electrons are monoenergetic and collisions are neglected. The dispersion equation is developed for the system using the quasi-static approximation. The beam-plasma interaction is analyzed for systems with spatial nonuniformities in the axial direction. The stationary plasma case is analyzed and gain calculations are presented as functions of various beam and plasma parameters and the interaction length. A model for the drifting plasma is developed and further spatial nonuniformities in the transverse plane are considered. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1966
Accession Number
AD0801493

Entities

People

  • A. M. Lugg
  • C. A. Brackett
  • G. T. Konrad
  • Joseph E. Rowe

Organizations

  • University of Michigan

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boltzmann Equation
  • Collisions
  • Demographic Cohorts
  • Diameters
  • Dispersions
  • Electric Fields
  • Electron Beams
  • Electrons
  • Equations
  • Equations Of Motion
  • Lepidoptera
  • Magnetic Fields
  • Mathematics
  • Microwaves
  • Radiation

Fields of Study

  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Mechanics and Fluid Dynamics.
  • Solar Physics

Technology Areas

  • Directed Energy
  • Microelectronics