Dispersion Relation Of The Diocotron Instability In A High Power Cylindrical Magnetron

Han S Uhm; Howard E Brandt

doi:10.1117/12.965078

9 May 1988 Dispersion Relation Of The Diocotron Instability In A High Power Cylindrical Magnetron

Han S Uhm, Howard E Brandt

Proceedings Volume 0873, Microwave and Particle Beam Sources and Propagation; (1988) https://doi.org/10.1117/12.965078
Event: 1988 Los Angeles Symposium: O-E/LASE '88, 1988, Los Angeles, CA, United States

Abstract

The dispersion relation of the diocotron instability in the relativistic electron flow generated inside a cylindrical magnetron is derived within the framework of a linearized macroscopic fluid model. A massless guiding-center approximation is made for the theoretical calculation to be analytically tractable. In addition, a sharp-boundary density approximation is made, which ensures a strong surface perturbation. The closed algebraic dispersion relation obtained in this article is fully relativistic and fully electromagnetic. Influence of the anode resonator effects are also fully incorporated. The dispersion relation is a transcendental function which can be numerically solved to investigate the diocotron stability properties for a broad range of magnetron system parameters.

Citation Download Citation

Han S Uhm and Howard E Brandt "Dispersion Relation Of The Diocotron Instability In A High Power Cylindrical Magnetron", Proc. SPIE 0873, Microwave and Particle Beam Sources and Propagation, (9 May 1988); https://doi.org/10.1117/12.965078

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