Structure resonances due to space charge in periodic focusing channels
| Autor: | Robert A. Jameson, Chao Li |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Physics
Nuclear and High Energy Physics Physics and Astronomy (miscellaneous) Basis (linear algebra) 010308 nuclear & particles physics Degrees of freedom (physics and chemistry) Surfaces and Interfaces 01 natural sciences Space charge 010305 fluids & plasmas Transverse plane symbols.namesake Lattice (order) Quantum mechanics 0103 physical sciences symbols lcsh:QC770-798 lcsh:Nuclear and particle physics. Atomic energy. Radioactivity Beam emittance Hamiltonian (quantum mechanics) Beam (structure) |
| Zdroj: | Physical Review Accelerators and Beams, Vol 21, Iss 2, p 024204 (2018) |
| ISSN: | 2469-9888 1063-651X |
| DOI: | 10.1103/physrevaccelbeams.21.024204 |
| Popis: | The Vlasov-Poisson model is one of the most effective methods to study the space charge dominated beam evolution self-consistently in a periodic focusing channel. Since the approach to get the solution with this model is not trivial, previous studies are limited in degenerated conditions, either in smoothed channel (constant focusing) [I. Hofmann, Phys. Rev. E 57, 4713 (1998)PLEEE81063-651X] or in alternating gradient focusing channel with equal initial beam emittance condition in the degrees of freedom [I. Hofmann et al., Part. Accel. 13, 145 (1983)PLACBD0031-2460; Chao Li et al., THOBA02, IPAC2016]. To establish a basis, we intentionally limit this article to the study of the pure transverse periodic focusing lattice with arbitrary initial beam condition, and the same lattice structure in both degrees of freedom, but with possibility of different focusing strengths. This will show the extension of the existing work. The full Hamiltonian is invoked for a pure transverse focusing lattice in various initial beam conditions, revealing different mode structure and additional modes beyond those of the degenerated cases. Application of the extended method to realistic lattices (including longitudinal accelerating elements) and further details will then reveal many new insights, and will be presented in later work. |
| Databáze: | OpenAIRE |
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