An analytic map for space charge in a nonlinear lattice
Saved in:
| Title: | An analytic map for space charge in a nonlinear lattice |
|---|---|
| Authors: | Benedetti, C. benedetti@bo.infn.it, Turchetti, G.1 |
| Source: | Physics Letters A. Jun2005, Vol. 340 Issue 5/6, p461-465. 5p. |
| Subjects: | Space charge, Electrons, Ions, Radial bone |
| Abstract: | Abstract: We propose a simple analytical model for an intense beam in a lattice with localized nonlinearities. In the thin lens limit a single nonlinearity leads to a Hénon like map. When the space charge is present and the core radius is small with respect to the dynamic aperture, the use of a frozen core distribution like KV is justified. In this case we define an analytic map M by composing the phase advance due to space charge, computed at the first perturbation order, with the kick due to the nonlinear force. The corresponding dynamics is almost indistinguishable from the dynamics of the “exact” map, which requires an accurate symplectic integration, if the tune depression is weak enough. The same accuracy is preserved for parametric modulations of the perveance or the beam core radius. The extension to any other distribution is straightforward. [Copyright &y& Elsevier] |
| Copyright of Physics Letters A is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
|---|---|
| Header | DbId: egs DbLabel: Engineering Source An: 18479520 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
| IllustrationInfo | |
| Items | – Name: Title Label: Title Group: Ti Data: An analytic map for space charge in a nonlinear lattice – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Benedetti%2C+C%2E%22">Benedetti, C.</searchLink><i> benedetti@bo.infn.it</i><br /><searchLink fieldCode="AR" term="%22Turchetti%2C+G%2E%22">Turchetti, G.</searchLink><relatesTo>1</relatesTo> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Physics+Letters+A%22">Physics Letters A</searchLink>. Jun2005, Vol. 340 Issue 5/6, p461-465. 5p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Space+charge%22">Space charge</searchLink><br /><searchLink fieldCode="DE" term="%22Electrons%22">Electrons</searchLink><br /><searchLink fieldCode="DE" term="%22Ions%22">Ions</searchLink><br /><searchLink fieldCode="DE" term="%22Radial+bone%22">Radial bone</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Abstract: We propose a simple analytical model for an intense beam in a lattice with localized nonlinearities. In the thin lens limit a single nonlinearity leads to a Hénon like map. When the space charge is present and the core radius is small with respect to the dynamic aperture, the use of a frozen core distribution like KV is justified. In this case we define an analytic map M by composing the phase advance due to space charge, computed at the first perturbation order, with the kick due to the nonlinear force. The corresponding dynamics is almost indistinguishable from the dynamics of the “exact” map, which requires an accurate symplectic integration, if the tune depression is weak enough. The same accuracy is preserved for parametric modulations of the perveance or the beam core radius. The extension to any other distribution is straightforward. [Copyright &y& Elsevier] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Physics Letters A is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=18479520 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1016/j.physleta.2005.04.032 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 5 StartPage: 461 Subjects: – SubjectFull: Space charge Type: general – SubjectFull: Electrons Type: general – SubjectFull: Ions Type: general – SubjectFull: Radial bone Type: general Titles: – TitleFull: An analytic map for space charge in a nonlinear lattice Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Benedetti, C. – PersonEntity: Name: NameFull: Turchetti, G. IsPartOfRelationships: – BibEntity: Dates: – D: 13 M: 06 Text: Jun2005 Type: published Y: 2005 Identifiers: – Type: issn-print Value: 03759601 Numbering: – Type: volume Value: 340 – Type: issue Value: 5/6 Titles: – TitleFull: Physics Letters A Type: main |
| ResultId | 1 |
