Korteweg–deVries equation for longitudinal disturbances in coasting charged-particle beams
This paper employs a one-dimensional kinetic model to investigate the nonlinear longitudinal dynamics of a long coasting beam propagating through a perfectly conducting circular pipe with radius r_{w}. The average axial electric field is expressed as ⟨E_{z}^{s}⟩=-e_{b}g_{0}∂λ_{b}/∂z-e_{b}g_{2}r_{w}^...
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| Format: | Article |
| Language: | English |
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American Physical Society
2004-05-01
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| Series: | Physical Review Special Topics. Accelerators and Beams |
| Online Access: | http://doi.org/10.1103/PhysRevSTAB.7.054402 |