Abstract
A transmission-line analog is developed for crossed-field space-charge flows from the simultaneous solution of Maxwell's equations, the Lorentz force equation, and the continuity equation. A thin one-dimensional injected beam is assumed. The resulting fifth-degree secular equation is solved for several values of ωc/ωp. The five system waves consist of a pair of hybrid waves, a pair of near-cyclotron waves and a near-synchronous wave. The results indicate that noise transformers may be based on an equivalent piecewise uniform transmission line.
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