Abstract

Numerical analyses on dispersion relations of the axisymmetric quasi- TM 0 s and quasi- TE 0 s modes in a plasma-filled cylindrical waveguide and a corrugated wall metal slow wave structure are carried out under the condition of finite axial magnetic fields. It is shown that a hybrid mode given by a linear combination of extraordinary and ordinary modes satisfies the boundary conditions of plasma at metal surface. There are two genera in the branches in the dispersion relation. One of them is conventional electromagnetic modes and the other is Trivelpiece-Gould modes. Present analysis will be helpful to understand the various unsolved problems in high power plasma-filled backward wave oscillators.

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