Approximate Integrals of rf-driven Particle Motion in Magnetic Field

Dodin, I.Y. ; Fisch, N.J.

Princeton University. Plasma Physics Laboratory.

关键词: Hamiltonian;    Magnetic Moments;    Magnetic Fields;    70 Plasma Physics And Fusion Technology;    Particle Dynamics;   

DOI  :  10.2172/827917
RP-ID  :  PPPL-3945
RP-ID  :  AC02-76CH03073
RP-ID  :  827917

美国|英语

来源: UNT Digital Library

【 摘 要 】

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