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Chromatic Perturbation and Resonance Analysis for the AGS Booster

Chromatic Perturbation and Resonance Analysis for the AGS Booster
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Release: 1987
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We have investigated the nonlinear effects with the emphasis on nonlinear resonances. We present some of our findings (e.g., the structure resonances; stop-bandwiths, etc.) for the AGS-Booster Lattice using program HARMON. Comparison with the results obtained from our algorithm ''NONLIN'' is presented.

A Study of the Coupling Resonances in the AGS Booster

A Study of the Coupling Resonances in the AGS Booster
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Release: 1988
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Analytic method is used to analyze the tracking results for the AGS-BOOSTER lattice. We found the amplitude dependence of the tune is very important in understanding characteristic of the tracking result. With the perturbed tune, the effective second order perturbation theory work very well. The method can be used to analyze the optimized operational condition for the lattice. For the Booster, the analysis suggests that chromaticity of -2 and -5 and a minimum unperturbed tune split chemically bond[Delta][nu]°chemically bond> 0.01. At the zero chromaticity point, the required unperturbed tune split is considerably larger in order to obtain a similar performance. 7 refs., 4 figs.

Harmonic Analysis of the AGS Booster Imperfection

Harmonic Analysis of the AGS Booster Imperfection
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Total Pages: 8
Release: 1993
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The harmonic content of magnetic field imperfections in the AGS Booster has been determined through careful measurements of the required field corrections of transverse resonances. An analysis of the required correction yielded amplitude and phase information which points to possible sources of imperfections. Dipole and quadrupole imperfections, which are proportional to the field of bending magnets (B), are mainly driven by any misalignment of the magnets. Quadrupole and sextupole imperfections, which are proportional to dB/dt, are driven by imperfections of the eddy-current correction system. The observations also suggest the presence of a remnant field.

Transverse Space-charge Effects in the AGS Booster During Injection

Transverse Space-charge Effects in the AGS Booster During Injection
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Release: 1988
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We have analyzed the transverse motion for 200 MeV protons under strong space-charge conditions. We considered up to 5 x 1012 protons per bunch; for the assumed distribution this corresponds to a maximum tune shift of -0.75. We utilized single particle tracking to study the motion in normalized phase space as a function of initial particle amplitude. Subsequent FFT analyses were used to obtain the fractional betatron tunes at different z values along the bunch. The motion shows x - y coupling due to the so-called Montague resonance (2Q(subscript x)-2Q/sub y/=0). Perturbations arise when particles have tunes in the neighborhood of the 2Q = 9 half-integral resonances but losses do not occur. It appears that the motion is stabilized simply due to the strong amplitude dependence of the tunes. 2 refs., 5 figs., 4 tabs.