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Approximate Integrals of rf-driven Particle Motion in Magnetic Field.

DE2004827917

Publication Date	2004
Personal Author	Dodin, I. Y.; Fisch, N. J.
Page Count	20
Abstract	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.
Keywords	Particle motion Integrals Magneitc fields Hamiltonians Lagrangian function Magnetic moments Oscillations Pondermotive force Rotation Adiabatic invariance
Source Agency	Technical Information Center Oak Ridge Tennessee
Corporate Authors	Princeton Univ., NJ. Plasma Physics Lab.; Department of Energy, Washington, DC.
Supplemental Notes	Sponsored by Department of Energy, Washington, DC.
Document Type	Technical Report
NTIS Issue Number	200517
Contract Number	DE-AC02-76CH03073

Approximate Integrals of rf-driven Particle Motion in Magnetic Field.

Approximate Integrals of rf-driven Particle Motion in Magnetic Field.
DE2004827917

Publication Date	2004
Personal Author	Dodin, I. Y.; Fisch, N. J.
Page Count	20
Abstract	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.
Keywords	Particle motion Integrals Magneitc fields Hamiltonians Lagrangian function Magnetic moments Oscillations Pondermotive force Rotation Adiabatic invariance
Source Agency	Technical Information Center Oak Ridge Tennessee
Corporate Authors	Princeton Univ., NJ. Plasma Physics Lab.; Department of Energy, Washington, DC.
Supplemental Notes	Sponsored by Department of Energy, Washington, DC.
Document Type	Technical Report
NTIS Issue Number	200517
Contract Number	DE-AC02-76CH03073