The transverse stability of a relativistic electron beam propagating in an evacuated, smooth pipe of finite conductivity is examined. Exact and asymptotic solutions are obtained in the limit of continuous external focusing. An exact solution for the transport through a single focusing period with discrete focusing is extended to provide an asymptotic solution for a multiperiod transport system. It is found in both cases that focusing can only reduce the growth rate; it cannot suppress the instability. Applications to pulsed electric-power transmission are discussed.
|Original language||English (US)|
|Number of pages||9|
|Journal||Particle accelerators Print|
|State||Published - 1980|
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