Mode Coupling in the Modified Betatron.

Abstract

The effects of quadratic non-linearities in the single particle equations of motion on electron orbits in the modified betatron are studied. Strong coupling of the two modes of betatron oscillation is found to occur for a particular value of the ratio B sub theta/B sub z, unless the gradient in the field index takes a certain value. In general, in the azimuthally symmetric case, the mode coupling appears to be quite harmless. When field and/or focusing errors are present the mode coupling reduces the effect on the orbit of the lambda - 1 orbital resonance but does not do so sufficiently so that the lambda = 1 resonance could be safely passed through in a practical device. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Apr 19, 1983
Accession Number
ADA126864

Entities

People

  • D. Chernin

Organizations

  • United States Naval Research Laboratory

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Amplitude
  • Betatrons
  • Couplings
  • Equations
  • Equations Of Motion
  • Frequency
  • Frequency Shift
  • Linearity
  • Military Research
  • Numbers
  • Oscillation
  • Particles
  • Perturbation Theory
  • Resonance
  • Security
  • Space Charge
  • Transverse

Fields of Study

  • Physics

Readers

  • Plasma Physics / Magnetohydrodynamics

Technology Areas

  • Microelectronics
  • Space
  • Space - Hall-Effect Thruster
  • Space - Orbital Debris