Linear theory of high-power cylindrical magnetron

Han Sup Uhm; H. C. Chen; Robert A. Stark; Howard E. Brandt

doi:10.1117/12.18546

1 April 1990 Linear theory of high-power cylindrical magnetron

Han Sup Uhm, H. C. Chen, Robert A. Stark, Howard E. Brandt

Proceedings Volume 1226, Intense Microwave and Particle Beams; (1990) https://doi.org/10.1117/12.18546
Event: OE/LASE '90, 1990, Los Angeles, CA, United States

Abstract

Stability properties of the extraordinary mode perturbations in relativistic electron flow in a cylindrical magnetron are investigated within the framework of the macroscopic cold fluid model. The eigenvalue equations for the extraordinary mode waves are obtained. In the tenuous beam limit the eigenvalue equation is considerably simplified and a closed algebraic dispersion relation is obtained. Numerical investigation of this dispersion relation over a broad range of system parameters has been carried out. It is concluded that the extraordinary mode perturbations in a tenuous electron flow in a cylindrical magnetron are absolutely stable. The full eigendifferential equation is solved numerically for the stability of the extraordinary modes for intense electron flow (Brillouin flow). The investigation is concentrated on low frequency perturbations (w Wc) and the A6 anode geometry. For this case all the lowest modes are found to be stable. 1.

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Han Sup Uhm, H. C. Chen, Robert A. Stark, and Howard E. Brandt "Linear theory of high-power cylindrical magnetron", Proc. SPIE 1226, Intense Microwave and Particle Beams, (1 April 1990); https://doi.org/10.1117/12.18546

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