We present an in–depth analysis of the concept of spin precession frequency for integrable orbital motion in storage rings. Spin motion on the periodic closed orbit of a storage ring can be analyzed in terms of the Floquet theorem for equations of motion with periodic parameters and a spin precession frequency emerges in a Floquet exponent as an additional frequency of the system. To define a s...

Desktop laser plasma acceleration has proven to be able to generate gigaelectronvolt-level quasi-monoenergetic electron beams. Moreover, such electron beams can oscillate transversely (wiggling motion) in the laser-produced plasma bubble/channel and emit collimated ultrashort X-ray flashes known as betatron radiation with photon energy ranging from kiloelectronvolts to megaelectronvolts. This i...

The conductive coating on kicker ceramic vacuum chambers was found to affect the pulse width, amplitude, and phase of the kicker magnetic field. Differences in the surface resistivity between the chambers caused each kicker magnetic field to have a slightly different pulse shape, resulting in unwanted betatron oscillations of the stored beam during injection into the storage ring at the Advance...

In a plasma wakefield accelerator in the nonlinear regime the accelerated bunch electrons oscillate in a pure ion column. They emit strong synchrotron, also known as betatron radiation, in the keV to MeV photon range [1]. In previous experiments with a single electron bunch the oscillating electrons where distributed symmetrically about the beam axis or the ion column axis. However, with a driv...

This paper introduces a development of a normalized axial velocity distribution function and a susceptibility term for an electron beam m a planar wiggler FEL. The model includes the independent contributions of the energy spread and the angular spread, the ennttance and the betatron motion, to the axial velocity distribution function. In the case of an emittance dominated spread, the resulting...

Growth of the single bunch impurity was observed in the Photon Factory storage ring. The phenomenon caused by recapture of electrons that are thrown out of the main bucket by Touschek effect was analyzed theoretically. Agreement of the observed rate of the impurity growth and the theoretical estimation was fairly well. In order to cure the effect, the RF knockout method was employed. The betatr...

The electrons injected into a laser wakefield undergo betatron oscillation and give rise to the emission of intense X-ray radiation. To investigate the generation conditions of the X-rays, the relativistic motion of an electron injected in an off-axis position has been simulated with wakefield profiles which are pre-calculated with a two-dimensional particle-in-cell code. The wakefield with a p...

We report on the status of emittance tuning techniques at the CESR Test Accelerator (CesrTA). The CesrTA experimental program requires that we operate in a variety of machine lattices, each with the smallest possible emittance. We utilize high-bandwidth BPM electronics for fast, precision measurements of orbit, betatron phase, transverse coupling, and dispersion. Analysis of the data and implem...

We present a new conceptual and optical design for the Next Linear Collider post-linac collimation system. Energy collimation and passive protection against off-energy beams are achieved in a system with large horizontal dispersion and vertical betatron functions. Betatron collimation is performed in a relatively low-beta (FODO-like) lattice in which only thin spoilers intercept particles near ...

We report on the ion-related beam behavior in the electron damping ring during unusually poor vacuum conditions in the weeks that followed a catastrophic kicker chamber failure that contaminated the ring vacuum system. The vacuum gradually improved over several months of beam operation, during which time the vertical emittance remained blown up by a factor of 2. The emittance blowup was accompa...