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First‐order treatment of combined effect of space‐charge and external fields on plane‐symmetric finite‐emittance beams of charged particles

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1 Author(s)
Bosi, G. ; Département de Physique, Université de Moncton, Moncton, New Brunswick, Canada

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An earlier treatment, which proved useful when dealing with zero‐emittance beams, is suitably modified to describe the space‐charge spread of finite‐emittance charged‐particle beams. The actual beam shape is obtained as a function of the initial shape by integrating first‐order motion and field equations, which are listed explicitly. Formulas applying to elliptically shaped beams are worked out and numerical results are given for a circular‐cross‐section drifting beam.

Published in:

Journal of Applied Physics  (Volume:47 ,  Issue: 12 )

Date of Publication:

Dec 1976

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