Trivelpiece-Gould modes in a corrugated plasma slab.

Abstract

It is shown that the spectrum of electrostatic oscillations in a periodically corrugated plasma slab exhibits spatial mode locking, i.e., for each spectral branch there is an infinity of subbands with constant wave numbers. The widths of the largest subbands are evaluated. We also show that the eigenmodes are represented by a set of double layers. Under certain conditions, the initial problem for wave propagation is solved. The interaction of an electron beam with a plasma is studied and the corresponding instability growth rate is obtained.