HAMILTONIAN THEORY OF PONDEROMOTIVE EFFECTS OF AN ELECTROMAGNETIC-WAVE IN A NONUNIFORM MAGNETIC-FIELD

Noncanonical variables are used to construct a Hamiltonian for guiding-center motion in a nonuniform magnetostatic field. Lie methods are then used to obtain the pondermotive (quasistatic) Hamiltonian for the perturbation by a wave of arbitrary polarization and wave number, with spatially modualted amplitude and wave vector. The result is applied to the problem of rf stoppering in mirror confinement. © 1979 The American Physical Society.