Drift- and lower-hybrid eigenmodes in a plasma cylinder

An integral formulation for the normal mode structure for drift-type electrostatic perturbation in a collisionless cylindrical plasma with multi-Gaussian profiles immersed in a uniform magnetic field was developed. No ordering is assumed for the plasma width parameter a, compared with a typical ion gyroradius ρ_i, or for the mode frequency ω compared with the ion gyrofrequency Ω_i. The integral equation is solved numerically in the low-frequency drift wave limit as well as the lower-hybrid limit. Comparisions with previous slab calculations and with approximate differential calculations are presented.