Global Dynamics of the Advanced Light Source Revealed through Experimental Frequency Map Analysis

Robin, D.; Steier, C.; Laskar, Jacques; Nadolski, Laurent

doi:10.1103/physrevlett.85.558

Cited by 56 publications

(45 citation statements)

References 7 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This phenomenon, predicted by Arnol'd in 1964 [13], is called Arnol'd diffusion and the stochastic web is consequently called Arnol'd web. Localising such diffusive part of phase space is of great interest for many systems, for instance in synchrotron experiments [14], plasma physics or celestial mechanics. Laskar [15] developed a successful method, based on Fourier analysis, to map completely the regular part of phase-space.…”

Section: Arnold Diffusionmentioning

confidence: 99%

Probing rare physical trajectories with Lyapunov weighted dynamics

Tailleur¹,

Kurchan²

2007

Nature Phys

121

227

View full text Add to dashboard Cite

The transition from order to chaos has been a major subject of research since the work of Poincare, as it is relevant in areas ranging from the foundations of statistical physics to the stability of the solar system. Along this transition, atypical structures like the first chaotic regions to appear, or the last regular islands to survive, play a crucial role in many physical situations. For instance, resonances and separatrices determine the fate of planetary systems, and localised objects like solitons and breathers provide mechanisms of energy transport in nonlinear systems such as Bose-Einstein condensates and biological molecules. Unfortunately, despite the fundamental progress made in the last years, most of the numerical methods to locate these 'rare' trajectories are confined to low-dimensional or toy models, while the realms of statistical physics, chemical reactions, or astronomy are still hard to reach. Here we implement an efficient method that allows one to work in higher dimensions by selecting trajectories with unusual chaoticity. As an example, we study the Fermi-Pasta-Ulam nonlinear chain in equilibrium and show that the algorithm rapidly singles out the soliton solutions when searching for trajectories with low level of chaoticity, and chaotic-breathers in the opposite situation. We expect the scheme to have natural applications in celestial mechanics and turbulence, where it can readily be combined with existing numerical methodsComment: Accepted for publication in Nature Physics. Due to size restrictions, the figures are not of high qualit

show abstract

Section: Arnold Diffusionmentioning

confidence: 99%

Probing rare physical trajectories with Lyapunov weighted dynamics

Tailleur¹,

Kurchan²

2007

Nature Phys

121

227

View full text Add to dashboard Cite

show abstract

“…Apart from allowing the now standard applications of fast orbit feedback and LOCO response matrix analysis (Safranek, 1997) to calibrate the linear optics, the BPMs will also have single-turn and turn-by-turn data acquisition capability. The former will assist in first-turn beam threading while the latter will provide, amongst others, the possibility of investigating the resonance driving terms using frequency map analysis (Robin et al, 2000). Pinger magnets will be installed for both planes in order to induce transient betatron oscillations.…”

Section: Rf Systemmentioning

confidence: 99%

The MAX IV storage ring project

et al. 2014

View full text Add to dashboard Cite

The MAX IV facility, currently under construction in Lund, Sweden, features two electron storage rings operated at 3 GeV and 1.5 GeV and optimized for the hard X-ray and soft X-ray/VUV spectral ranges, respectively. A 3 GeV linear accelerator serves as a full-energy injector into both rings as well as a driver for a short-pulse facility, in which undulators produce X-ray pulses as short as 100 fs. The 3 GeV ring employs a multibend achromat (MBA) lattice to achieve, in a relatively short circumference of 528 m, a bare lattice emittance of 0.33 nm rad, which reduces to 0.2 nm rad as insertion devices are added. The engineering implementation of the MBA lattice raises several technological problems. The large number of strong magnets per achromat calls for a compact design featuring small-gap combined-function magnets grouped into cells and sharing a common iron yoke. The small apertures lead to a low-conductance vacuum chamber design that relies on the chamber itself as a distributed copper absorber for the heat deposited by synchrotron radiation, while non-evaporable getter (NEG) coating provides for reduced photodesorption yields and distributed pumping. Finally, a low main frequency (100 MHz) is chosen for the RF system yielding long bunches, which are further elongated by passively operated thirdharmonic Landau cavities, thus alleviating collective effects, both coherent (e.g. resistive wall instabilities) and incoherent (intrabeam scattering). In this paper, we focus on the MAX IV 3 GeV ring and present the lattice design as well as the engineering solutions to the challenges inherent to such a design. As the first realisation of a light source based on the MBA concept, the MAX IV 3 GeV ring offers an opportunity for validation of concepts that are likely to be essential ingredients of future diffraction-limited light sources.

show abstract

“…This technique has been used successfully to improve the acceptance of the LBNL Advanced Light Source [4], [5], [6]. Briefly, we track particles at different betatron amplitudes, and analyze the tracking data using an interpolated FourierHanning technique to determine the tunes with high precision.…”

Section: Dynamic Aperture: Frequency Map Analysismentioning

confidence: 99%

Lattice design for an ILC damping ring with 3 km circumference

Wolski¹

2004

View full text Add to dashboard Cite

We describe a simple lattice that meets the specifications for the damping times and horizontal and longitudinal emittances for the International Linear Collider (ILC) damping rings. The circumference of a little over 3 km leads to a bunch spacing of around 3 ns, which will require advances in kicker technology for injection and extraction. We present the lattice design, and initial results of studies of the acceptance and collective effects. With the high bunch charge and close spacing, the ion and electron cloud effects are expected to be severe; however, the simple structure of the lattice allows for easy variation of the circumference and bunch spacing, which may make it useful for future investigations.

show abstract

Global Dynamics of the Advanced Light Source Revealed through Experimental Frequency Map Analysis

Cited by 56 publications

References 7 publications

Probing rare physical trajectories with Lyapunov weighted dynamics

Probing rare physical trajectories with Lyapunov weighted dynamics

The MAX IV storage ring project

Lattice design for an ILC damping ring with 3 km circumference

Contact Info

Product

Resources

About