Analysis of Low-Frequency Electromagnetic Waves in Plasma Waveguide with Periodic Boundary

Abstract

Slow electromagnetic waves (Trivelpiece-Gould Modes) in cylindrical plasma waveguides are analyzed in a case with periodic boundary. Existence of a new mode which has a large number of branches within a finite range of frequencies less than the plasma frequency is predicted. For a simple case, the dispersion relation which approximately satisfies Floquet theorem is analyzed in some detail.