Hostname: page-component-586b7cd67f-dsjbd Total loading time: 0 Render date: 2024-11-27T17:00:58.072Z Has data issue: false hasContentIssue false
  • English
  • Français

Approximate integrals of radiofrequency-driven particle motion in a magnetic field

Published online by Cambridge University Press:  10 May 2005

I. Y. DODIN  and
N. J. FISCH
I. Y. DODIN
Affiliation:
Princeton Plasma Physics Laboratory, Princeton, NJ 08543, USA ([email protected])
N. J. FISCH
Affiliation:
Princeton Plasma Physics Laboratory, Princeton, NJ 08543, USA ([email protected])
Get access Rights & Permissions [Opens in a new window]

Abstract

For a particle moving in a non-uniform static magnetic field under the action of a wave, ponderomotive effects result from radiofrequency-driven oscillations nonlinearly coupled with Larmor rotation. Using the Lagrangian and Hamiltonian formalisms, we show how, despite this coupling, two independent integrals of the particle motion are approximately conserved. These are the magnetic moment of free Larmor rotation and the quasi-energy of the guiding center motion parallel to the d.c. magnetic field. Under the assumption of non-resonant interaction of the particle with the radiofrequency field, these integrals represent adiabatic invariants of the particle motion.

Type
Papers
Information
Journal of Plasma Physics , Volume 71 , Issue 3 , June 2005 , pp. 289 - 300
Copyright
2005 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)