A NEW METHOD FOR SPACE CHARGE WAVE INTERACTION STUDIES. PART II

Abstract

Present effort is concerned with the theory of electromagnetic and space charge wave propagation in the resistive anisotropic medium. A system is developed which makes it possible to study the reflexion coefficients at the in- and output ends of a plane TWT. The input reflexion coefficient in particular is found to be surprisingly small under a variety of conditions. It is pointed out that the sum of the kinetic and electromagnetic power flows of a growing wave must vanish in a lossless system. This is also demonstrated in detail for the plane TWT. The axially inhomogeneous plane TWT is considered in some detail. It is shown that the corresponding fourth order wave equation can be solved by comparatively simple WKB-type methods if coupling between the individual waves is neglected. Furthermore, a set of four first order coupled wave equations is derived from which the effects of coupling between the individual waves can be estimated. The 8 different waves which can exist in a single-velocity magneto-ionic anisotropic homogeneous resistive medium are analysed. The so called transverse space charge waves in particular are treated in detail. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 30, 1960
Accession Number
AD0253383

Entities

People

  • Sven Olving

Organizations

  • Chalmers University of Technology

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Coefficients
  • Coupling (Interaction)
  • Couplings
  • Differential Equations
  • Equations
  • Lepidoptera
  • Mathematics
  • Partial Differential Equations
  • Space Charge
  • Transverse
  • Wave Equations
  • Wave Propagation

Fields of Study

  • Physics

Readers

  • Electronics Engineering
  • Plasma Physics / Magnetohydrodynamics
  • Systems Analysis and Design

Technology Areas

  • Space
  • Space - Hall-Effect Thruster