| Title |
Chromaticity and Dispersion in Nonlinear Integrable Optics |
| Authors |
- S.D. Webb, D.L. Bruhwiler
RadiaSoft LLC, Boulder, Colorado, USA
- V.V. Danilov
ORNL, Oak Ridge, Tennessee, USA
- S. Nagaitsev, A. Valishev
Fermilab, Batavia, Illinois, USA
|
| Abstract |
Proton accumulator rings and other circular hadron accelerators are susceptible to intensity- driven parametric instabilities because the zero-current charged particle dynamics are characterized by a single tune. Landau damping can suppress these instabilities, which requires energy spread in the beam or introducing nonlinear magnets such as octupoles. However, this approach reduces dynamic aperture. Nonlinear integrable optics can suppress parametric instabilities independent of energy spread in the distribution, while preserving the dynamic aperture. This novel approach promises to reduce particle losses and enable order-of-magnitude increases in beam intensity. In this paper we present results, obtained using the Lie operator formalism, on how chromaticity and dispersion affect particle orbits in integrable optics. We conclude that chromaticity in general breaks the integrability, unless the vertical and horizontal chromaticities are equal. Because of this, the chromaticity correcting magnets can be weaker and fewer correcting magnet families are required, thus minimizing the impact on dynamic aperture.
|
| Funding |
This material is based upon work sup- ported by the U.S. Department of Energy, Office of Sci- ence, Office of High Energy Physics under Award Num- ber DE-SC0011340. |
| Paper |
download MOPMA028.PDF [0.125 MB / 3 pages] |
| Export |
download ※ BibTeX
※ LaTeX
※ Text/Word
※ RIS
※ EndNote |
| Conference |
IPAC2015, Richmond, VA, USA |
| Series |
International Particle Accelerator Conference (6th) |
| Proceedings |
Link to full IPAC2015 Proccedings |
| Session |
Monday Posters (Madison) |
| Date |
04-May-15 16:00–18:00 |
| Main Classification |
5: Beam Dynamics and EM Fields |
| Sub Classification |
D02 - Nonlinear Dynamics - Resonances, Tracking, Higher Order |
| Keywords |
lattice, optics, dynamic-aperture, focusing, octupole |
| Publisher |
JACoW, Geneva, Switzerland |
| Editors |
Stuart Henderson (ANL, Argonne, IL, USA); Evelyn Akers (Jlab, Newport News, VA, USA); Todd Satogata (JLab, Newport News, VA, USA); Volker R.W. Schaa (GSI, Darmstadt, Germany) |
| ISBN |
978-3-95450-168-7 |
| Published |
June 2015 |
| Copyright |
|
