A three-dimensional model has been developed for the investigation of the coupling of symmetric $\left({\mathrm{TM}}_{01}\right)$ and asymmetric $\left({\mathrm{HEM}}_{11}\right)$ modes in a high-power, high-efficiency traveling-wave amplifier. In the framework of a simplified model it is shown that the coupling between these two modes is determined by a single parameter that depends on the beam characteristics. For a specific set of parameters corresponding to operation at 35 GHz, simulations indicate that an initial ${\mathrm{HEM}}_{11}$ power of 0.5 MW at the input end is sufficient to deflect electrons to the wall. The build-up of this parasitic mode is investigated over many round trips of the wave in the structure and a threshold criterion for self-sustain oscillation is established. Finally a way for suppressing the ${\mathrm{HEM}}_{11}$ mode is analyzed.

• Received 28 June 1999

DOI:https://doi.org/10.1103/PhysRevE.61.4445