Linear response of the two-dimensional pure electron plasma: Quasimodes for some model profiles

After examining the initial value problem for the linear, diocotron response of a long cylinder of pure-electron plasma, the ‘‘quasimodes’’ associated with convex, power-law density profiles are studied. For these profiles, exact, analytic results are available. The ‘‘quasimodes,’’ which are damped by phase mixing, may be characterized by their angular variation, flatness, and the magnitude of the gap separating the plasma from the containing wall.