| Title |
On the Computation of Phase and Energy Gain for a Thin-Lens RF Gap Using a General Field Profile |
| Authors |
- C.K. Allen
ORNL, Oak Ridge, Tennessee, USA
|
| Abstract |
The thin-lens representation for an RF accelerating gap has been well developed and is documented by Lapostolle [5], Weiss [6], Wangler [14], and others [9], [10]. These models assume that the axial electric field is both centered and symmetric so it has a cosine expansion. Presented here is a model that considers general axial fields. Both the cosine and sine transit time factors are required plus their Hilbert transforms. The combination yields a complex Hamiltonian rotating in the complex plane with the synchronous phase. The phase and energy gains are computed in the pre-gap and post-gap regions then aligned with asymptotic values of wave number. Derivations are outlined, examples are shown, and simulations presented.
|
| Funding |
This material is based upon work supported by the U.S. Department of Energy, Office of Science, Office of Basic Energy Sciences under contract number DE-AC05-00OR22725. |
| Paper |
download MOPIK117.PDF [0.274 MB / 4 pages] |
| Export |
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| Conference |
IPAC2017, Copenhagen, Denmark |
| Series |
International Particle Accelerator Conference (8th) |
| Proceedings |
Link to full IPAC2017 Proccedings |
| Session |
Posters Monday 2 |
| Date |
15-May-17 16:00–18:00 |
| Main Classification |
05 Beam Dynamics and Electromagnetic Fields |
| Sub Classification |
D01 Beam Optics - Lattices, Correction Schemes, Transport |
| Keywords |
simulation, linac, factory, acceleration, cavity |
| Publisher |
JACoW, Geneva, Switzerland |
| Editors |
Volker RW Schaa (GSI, Darmstadt, Germany); Gianluigi Arduini (CERN, Geneva, Switzerland); Juliana Pranke (ESS, Lund, Sweden); Mike Seidel (PSI, Villigen, Switzerland); Mats Lindroos (ESS, Lund, Sweden) |
| ISBN |
978-3-95450-182-3 |
| Published |
May 2017 |
| Copyright |
|
