Development of Computer Program TWTVA for Calculation of 3-D Electron Trajectories in Coupled-Cavity TWTs

Abstract

The report describes the development of a computer program for calculation of three-dimensional electron trajectories in a coupled cavity traveling wave tube. RF, magnetic and space charge fields are included without paraxial approximations. Both PPM and solenoid magnetic fields are admitted. Each field is represented by a potential matrix. The rf vector potential matrix is computed from an integration of Kosmahl and Branch's field formulation. The magnetic vector potential matrix is derived from ideal current loops representing the field sources. The space charge potential matrix is obtained by an extension of Hockney and Buneman's Fourier Analysis Cyclic Reduction method to cylindrical coordinates. The trajectory steps are then computed from analytic integrals of the general cross-field equations of motion, using a fast subroutine for simultaneous interpolation and differentiation of the potential matrices. A comprehensive example is given of output obtained from the program.

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Document Details

Document Type
Technical Report
Publication Date
Mar 10, 1976
Accession Number
ADA025132

Entities

People

  • J. R. M. Vaughan

Tags

Communities of Interest

  • Advanced Electronics
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Computational Science
  • Computer Programs
  • Computer Simulations
  • Computers
  • Coordinate Systems
  • Electric Fields
  • Electricity
  • Electromagnetic Fields
  • Electron Tubes
  • Geometry
  • Magnetic Fields
  • Microwave Tubes
  • Ray Tracing
  • Space Charge
  • Three Dimensional
  • Traveling Wave Tubes
  • Traveling Waves

Fields of Study

  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Linear Algebra
  • Plasma Physics / Magnetohydrodynamics

Technology Areas

  • Microelectronics
  • Space
  • Space - Hall-Effect Thruster