Dispersion Relation of an Ion-Cyclotron Wave in a Cylindrical Waveguide Partially Filled with Plasma in an Axial Magnetic Field

摘要

Continuity of the radial electric displacement and the tangential field components select discrete values for the plasma radius in the partially filled waveguide with static axial magnetic field. The dispersion relation is thus obtained in a parametrised form but the parameter (plasma radius) could be eliminated numerically to yield the usual wavenumber squared versus frequency relation. The plasma radius necessary to satisfy the boundary conditions is found to decrease strongly with respect to the completely filled waveguide as a thin layer of vacuum is added between the wall and the plasma. Numerical results for the plasma radius dependence on frequency, parallel wavenumber and plasma-wall separation are given for Neon, Xenon and Uranium plasmas. (ERA citation 07:044286)