A DELTA-FUNCTION ANALYSIS OF TRANSVERSE WAVE INTERACTION IN PERIODIC STATIC FIELDS

Abstract

The interaction between transverse electron beam waves in periodic fields is usually analyzed by assuming a sinusoidal variation of the electric and magnetic fields. In this analysis another approach is used, assuming the fields to consist of functions. Exact solutions can then be obtained by standard mathematical methods. The interaction in quadrupole fields, two-dimensional fields, and fields of rotational symmetry is considered, and the results are shown to agree well with the sinusoidal-field theory. Extensive numerical calculations are presented. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 10, 1962
Accession Number
AD0285388

Entities

People

  • Bjarne Malsnes
  • Kjell Blotekjaer

Organizations

  • Rome Laboratory

Tags

DTIC Thesaurus Topics

  • Delta Functions
  • Electron Beams
  • Electrons
  • Magnetic Fields
  • Standards
  • Symmetry
  • Transverse
  • Transverse Waves
  • Two Dimensional
  • Waves

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Plasma Physics / Magnetohydrodynamics

Technology Areas

  • Directed Energy
  • Microelectronics