| Title |
Fourier Coefficients of Long-Range Beam-Beam Hamiltonian via Two-Dimensional Bessel functions |
| Authors |
- D. Kaltchev
TRIUMF, Vancouver, Canada
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| Abstract |
The two-dimensional coefficients (resonance basis) in the Fourier expansion of the long-range beam-beam Hamiltonian have been expressed through the (less familiar) generalized modified Bessel functions of two arguments. We describe an efficient method to compute these coefficients based on the above representation. The method has been applied to HL-LHC lattices and benchmarked against MadX simulations of detuning.
|
| Paper |
download THPAK108.PDF [0.251 MB / 3 pages] |
| Export |
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| Conference |
IPAC2018, Vancouver, BC, Canada |
| Series |
International Particle Accelerator Conference (9th) |
| Proceedings |
Link to full IPAC2018 Proccedings |
| Session |
MC5 Poster Session |
| Date |
03-May-18 09:00–12:00 |
| Main Classification |
05 Beam Dynamics and EM Fields |
| Sub Classification |
D10 Beam-Beam Effects - Theory, Simulations, Measurements, Code Developments |
| Keywords |
resonance, lattice, optics, emittance, TRIUMF |
| Publisher |
JACoW Publishing, Geneva, Switzerland |
| Editors |
Shane Koscielniak (TRIUMF, Vancouver, BC, Canada); Todd Satogata (JLab, Newport News, VA, USA); Volker RW Schaa (GSI, Darmstadt, Germany); Jana Thomson (TRIUMF, Vancouver, BC, Canada) |
| ISBN |
978-3-95450-184-7 |
| Published |
June 2018 |
| Copyright |
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