Speaker
Description
Single-sextupole and single-octupole lattices "exhibit .. all the typical properties of more complicated mappings and dynamical issues"*, including horizontal resonances of all orders $N$ with island tunes $Q_I$. Here we develop resonance trajectory curves in the $(Q_x,Q_I)$ tune domain that represent unique fingerprints of simple or complex one-turn maps. Island tune spectra - vertical slices in the $(Q_x,Q_I)$ plane - show one spectral line for every appropriate resonance order. Each spectral line represents a vulnerability to power supply ripple and to intrinsic tune modulation at the synchrotron tune $Q_s$, for example during transition crossing. This vulnerability is considerably enhanced for typical values of the quadratic chromaticity coefficient in the Relativistic Heavy Ion Collider.
Footnotes
- M. Henon, Numerical study of quadratic area-preserving mappings. Quarterly of Applied Mathematics, 27:3 (1969), 291.
| Region represented | America |
|---|---|
| Paper preparation format | LaTeX |
