The fast ion instability is considered for a distribution of ion bounce frequencies. Because of the spread in bounce frequencies, the instability initially grows exponentially with propagation distance. When the initial growth saturates, the instability grows exponentially with the square root of the propagation distance; the saturated growth equals that calculated when the spread in ion bounce...

Spontaneous radiation emitted from relativistic electrons undergoing betatron motion in a plasma-focusing channel is analyzed, and applications to plasma wake-field accelerator experiments and to the ion-channel laser (ICL) are discussed. Important similarities and differences between a free electron laser (FEL) and an ICL are delineated. It is shown that the frequency of spontaneous radiation ...

This is a study to increase the threshold of the Los Alamos LANSCE Proton Storage Ring (PSR) to the electron-proton (e-p) instability. The approach is to use a solenoid lens system to increase the Landau damping and betatron tune spread, without producing betatron resonances or energy spread that would necessitate increased aperture. This study rests upon the concept of integrable optics, which...

A method for measurement of betatron tune without the need for feedback-driven excitation has been developed at COSY. A bandlimited broadband noise source was used for beam excitation. The transverse beam position oscillation was then bunch-synchronously sampled and digitized with a high resolution ADC. The Fourier transform of the acquired data represents immediately the betatron tune. A funct...

Betatron x-rays with multi-keV photon energies have been observed from a GeV-class laser-plasma accelerator. The experiment was performed using the 200 TW Callisto laser system at LLNL to produce and simultaneously observe GeV-class electron beams and keV Betatron x-rays. The laser was focused into various gas cells with sizes ranging from 3 to 10 mm, and containing mixed gases (He, N, CO2, Ar,...

Resonance driving terms can be derived from the frequency analysis of turn-by-turn betatron oscillation data. This paper demonstrates that the same information can also be drawn from the spectral analysis of a driven oscillation adiabatically excited by an rf dipole. The advantage of this method is that a large betatron oscillation amplitude can be sustained without loosing the coherence signal...

(Dated Sept. 22 2013) A novel coupling of the transverse betatron motion to the longitudinal microwave instability is studied. Besides the radial coherent dipole mode space charge field, simulation and theoretical studies in this paper show that the longitudinal coherent dipole mode space charge field due to centroid wiggles also plays an important role in the isochronous regime, it induces bet...

The Relativistic Heavy Ion Collider (RHIC) provides collisions of the fully stripped gold ions for four experiments. This report shows results from measurements of the betatron functions within the Interaction Regions (IR) as well as in the arcs in both ”blue” and ”yellow” rings. A single quadrupole excitation or the beam position monitors’ RMS. values at injection are used to obtain the betatr...

The storage ring in the Siam Photon Source of National Synchrotron Research Center, THAILAND is the upgraded version of SORTEC storage ring. The magnet lattice structure is changed to obtain the low emittance and to include the long straight sections to provide space for the insertion devices. Therefore, a detailed analysis of the modified parameters of the synchrotron and betatron oscillations...

We present a new design for the NLC post-linac collimation system. The new design separates the collimation of off-energy particles and particles with large betatron amplitudes. The energy collimation system achieves passive protection against damage by an errant bunch train via large horizontal dispersion and vertical betatron functions, and makes use of optical symmetries to reduce jitter amp...