Small-signal gain theory of a nonrelativistic planar magnetron

Jing Zhou; Chiping Chen
October 2008
Applied Physics Letters;10/13/2008, Vol. 93 Issue 15, p151502
Academic Journal
A small-signal theory of a nonrelativistic magnetron is developed using a planar model with a thin electron cloud. The theory includes both inertial effects and electromagnetic effects in a Floquet expansion. An analytical dispersion relation of such a planar magnetron is derived, and the growth rate is calculated analytically. The found instability involves the resonance between the electron cloud and the magnetron cavity vacuum slow waves. A good agreement is found between the theory and the self-consistent particle-in-cell MAGIC simulations.


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