The third-integer coupling resonance at ν(x)-2ν(z)=ℓ, known as the Walkinshaw resonance, is important in high-power accelerators. We find that, when the betatron tunes ramp through a Walkinshaw resonance the fractional emittance growth (FEG) is a universal function of the effective resonance strength: G(1,-2,ℓ)√[ε(xi)]|Δ(ν(x)-2ν(z))/Δn|(-1/2), where G(1,-2,ℓ) is the resonance strength; ε(xi) an...

Crossing of bunches at an angle in a storage ring is studied. A case when a particle trajectory intersects the opposing bunch off-center and at an angle to the main axis of the bunch charge distribution is considered. Formulae for a kick experienced by a particle are derived for crossing in both horizontal and vertical planes. This kick is a function of the off-center distance in the longitudin...

X-ray betatron radiation is produced by oscillations of electrons in the intense focusing field of a laser-plasma accelerator. These hard x-rays show promise for use in femtosecond-scale time-resolved radiography of ultrafast processes. However, the spectral characteristics of betatron radiation have only been inferred from filter pack measurements. In order to achieve higher resolution spectra...

The Relativistic Heavy Ion Collider (RHIC) consists of two rings with six fold symmetry. The six interaction regions (IR)s are connected with twelve FODO cells. RHIC quadrupoles in the interaction regions have independent tuning capability. The betatron functions will be measured by a three methods. First, tunable IR quadrupoles will be adjusted to measure betatron functions at those locations ...

The paper focuses attention on the development of a control system for a new radiotherapy treatment machine that makes use of a betatron to deliver electron beams over the whole surface of a patient. The betatron moves above a patient at a fixed distance from the patient support system. This paper presents a method to predict the betatron trajectory, in terms of speed and position, according to...

Crowley-Milling and Rabinowitz [2] first discovered the synchro-betatron resonances driven by dispersion in rf cavities in NINA. They explained the mechanism of the resonances by considering the sudden change of energy by rf cavities that causes a sudden changes of the equilibrium orbit. Thus, betatron oscillations are excited. These are forced betatron oscillations driven by synchrotron oscill...

Injection efficiency is one of the key factors in ensuring successful operation of storage ring light sources. In this paper, injection simulation and measurement studies at the Advanced Photon Source will be presented. The tracking simulations and measurements are compared in terms of the dynamic aperture and injection efficiency. Injection efficiency is also measured on the betatron tunes spa...

The betatron coupling is one of the most important parameters of storage rings for high brilliant light source. By the precise alignment of the magnets [1] and the proper COD correction [2], the SPring-8 storage ring succeeded in achieving the very small linear betatron coupling without skew quadrupole corrector magnets. To prove this fact, we study the betatron coupling of the SPring-8 storage...

Particles circulating at specific velocities in a storage ring can undergo betatron resonances at which static perturbations of the particles' orbit yield large transverse (betatron) oscillations. We have observed betatron resonances in an ultracold-atom storage ring and found these resonances to cause the near-elimination of the longitudinal dispersion of atomic beams propagating at resonant v...