Noise Transformation and Cyclotron Waves in Crossed Fields

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.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/70152/2/JAPIAU-36-1-9-1.pd