Abstracts Brochure - CERN

WEPCH — Poster Session 28-Jun-06 16:00 - 18:00
Progress with Non-linear Beam Dynamic Studies of the Diamond Storage Ring
The conflicting requirements of high-brightness
photon beams combined with adequate
beam lifetime and high injection efficiency
mean careful control of the non-linear lattice
R. Bartolini, I.P.S. Martin, B. Singh (Diamond) J.K. Jones (CCLRC/
DL/ASTeC)
is crucial to achieving optimum performance. As part of the optimisation of the Diamond storage ring, studies have
been made of both the Touschek lifetime and storage ring injection process, with the help of on-momentum and offmomentum
frequency maps. The effect of chromaticity on Touschek lifetime has also been investigated and several
new sextupole settings were identified achieving good Touschek lifetime and injection efficiency.
Effect of Insertion Devices on Beam Dynamics of the Diamond Storage Ring Using Kick
Maps
The effect of the all Phase-I Insertion Devices
(IDs) on the beam dynamic of the Diamond B. Singh, A.I. Baldwin, R. Bartolini, I.P.S. Martin (Diamond)
storage ring has been investigated using the
kick map modelisation of the IDs. Kick maps have been produced with high accuracy using the computer code
RADIA, considering many longitudinal harmonics. The effect of IDs on the dynamic aperture, Touschek lifetime
and injection efficiency in the low emittance lattice, was investigated considering both coupling errors and physical
engineering apertures. Harmful resonances have been identified using Frequency Map Analysis (FMA) and full 6D
tracking was performed to estimate the Touschek lifetime and the injection efficiency. Additionally, the kick maps
have been used to generate feed-forward tables for compensation of linear optics distortion.
Renormalization Group Reduction of the Frobenius-Perron Operator
The Renormalization Group (RG) method is
adopted as a tool for a constructive analysis
of the properties of the Frobenius-Perron Operator.
The renormalization group reduction
S.I. Tzenov (Universita’ degli Studi di Salerno, Dipartimento di
Fisica E.R. Caianiello)
of a generic symplectic map in the case, where the unperturbed rotation frequency of the map is far from structural
resonances driven by the kick perturbation has been performed in detail. It is further shown that if the unperturbed
rotation frequency is close to a resonance, the reduced RG map of the Frobenius-Perron operator (or phase-space
density propagator) is equivalent to a discrete Fokker-Planck equation for the renormalized distribution function.
The RG method has been also applied to study the stochastic properties of the standard Chirikov-Taylor map.
Particle Tracking in a Sextupole Field Using the Euler Method Approximation
The purpose of this paper is to evaluate
any differences in the single particle track- S. Di Mitri, E. Karantzoulis (ELETTRA)
ing through a magnetic lattice including sextupoles
treated like sliced or single-kick elements. Only on-energy transverse motion is considered. Convergence
and symplecticity of the method of sliced sextupoles are discussed. Dynamic apertures and transverse phase spaces
applied to the Elettra synchrotron lattice are compared for the two cases.
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