Analytic fluid theory of beam spiraling in high-intensity cyclotrons
Using a two-dimensional fluid description, we investigate the nonlinear radial-longitudinal dynamics of intense beams in storage rings and cyclotrons. With a multiscale analysis separating the time scale associated with the betatron motion and the slower time scale associated with space-charge effec...
| Main Authors: | , , , |
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| Format: | Journal article |
| Language: | English |
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2012
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| _version_ | 1826272616095154176 |
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| author | Cerfon, A Freidberg, J Parra, F Antaya, T |
| author_facet | Cerfon, A Freidberg, J Parra, F Antaya, T |
| author_sort | Cerfon, A |
| collection | OXFORD |
| description | Using a two-dimensional fluid description, we investigate the nonlinear radial-longitudinal dynamics of intense beams in storage rings and cyclotrons. With a multiscale analysis separating the time scale associated with the betatron motion and the slower time scale associated with space-charge effects, we show that the longitudinal-radial vortex motion can be understood in the frame moving with the charged beam as the nonlinear advection of the beam by the $\mathbf{E}\times\mathbf{B}$ velocity field, where $\mathbf{E}$ is the electric field due to the space charge and $\mathbf{B}$ is the external magnetic field. This interpretation provides simple explanations for the stability of round beams and for the development of spiral halos in elongated beams. By numerically solving the nonlinear advection equation for the beam density, we find that it is also in quantitative agreement with results obtained in PIC simulations. |
| first_indexed | 2024-03-06T22:15:23Z |
| format | Journal article |
| id | oxford-uuid:533a4441-92f0-47e0-ad6d-b91d929458c6 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T22:15:23Z |
| publishDate | 2012 |
| record_format | dspace |
| spelling | oxford-uuid:533a4441-92f0-47e0-ad6d-b91d929458c62022-03-26T16:30:13ZAnalytic fluid theory of beam spiraling in high-intensity cyclotronsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:533a4441-92f0-47e0-ad6d-b91d929458c6EnglishSymplectic Elements at Oxford2012Cerfon, AFreidberg, JParra, FAntaya, TUsing a two-dimensional fluid description, we investigate the nonlinear radial-longitudinal dynamics of intense beams in storage rings and cyclotrons. With a multiscale analysis separating the time scale associated with the betatron motion and the slower time scale associated with space-charge effects, we show that the longitudinal-radial vortex motion can be understood in the frame moving with the charged beam as the nonlinear advection of the beam by the $\mathbf{E}\times\mathbf{B}$ velocity field, where $\mathbf{E}$ is the electric field due to the space charge and $\mathbf{B}$ is the external magnetic field. This interpretation provides simple explanations for the stability of round beams and for the development of spiral halos in elongated beams. By numerically solving the nonlinear advection equation for the beam density, we find that it is also in quantitative agreement with results obtained in PIC simulations. |
| spellingShingle | Cerfon, A Freidberg, J Parra, F Antaya, T Analytic fluid theory of beam spiraling in high-intensity cyclotrons |
| title | Analytic fluid theory of beam spiraling in high-intensity cyclotrons |
| title_full | Analytic fluid theory of beam spiraling in high-intensity cyclotrons |
| title_fullStr | Analytic fluid theory of beam spiraling in high-intensity cyclotrons |
| title_full_unstemmed | Analytic fluid theory of beam spiraling in high-intensity cyclotrons |
| title_short | Analytic fluid theory of beam spiraling in high-intensity cyclotrons |
| title_sort | analytic fluid theory of beam spiraling in high intensity cyclotrons |
| work_keys_str_mv | AT cerfona analyticfluidtheoryofbeamspiralinginhighintensitycyclotrons AT freidbergj analyticfluidtheoryofbeamspiralinginhighintensitycyclotrons AT parraf analyticfluidtheoryofbeamspiralinginhighintensitycyclotrons AT antayat analyticfluidtheoryofbeamspiralinginhighintensitycyclotrons |