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Source publication
We study the dynamics of transverse oscillations near the linear coupling resonance excited by a pair of skew quadrupoles at the Laboratório Nacional de Luz Síncrotron UVX electron storage ring through the analysis of the beam profile. Transverse coherent oscillations were excited with a fast kicker and the profile of the oscillating beam was obser...
Contexts in source publication
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... y w jw 0 j 2 4n 2 jkj 2 sin 2 nw . (10) Figure 1 shows two examples of two-dimensional inte- grated beam profiles as given by expressions (7) and (8). ...
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... the coupling coefficient is real [as in Fig. 1(b)], the bor- der of the integrated profile is a parallelogram rotated by an angle u with respect to the machine horizontal axis of symmetry with u given by 2 tan ...
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... fact, the polynomial is of fifth order with one of the roots R 0.) All of the relevant solutions belong to the family branch starting at p 0 for f 0. An iterative procedure can generate solutions for other values of f and, in this way, the whole border is obtained. Figure 2 shows a (normalized) plot of R in terms of g for the same parameters of Fig. ...
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... slope of both curves agrees with the theoretical estimate (jkj 0.13K) based on the model optics to within 15%. Figure 12 shows the measured change in the phase of the coupling coefficient as we power skew quadrupole A instead of skew quadrupole B as a function of quadrupole strength. This change in phase reflects the large ver- tical betatron phase advance between the two skew quadrupoles and can be computed once we know the be- tatron functions at the center of the straight section by ...
Citations
We describe a fast and robust global decoupling scheme, coupling angle modulation. This novel technique introduces an extra rotating coupling coefficient into the coupled optics to determine the global decoupling strengths. The eigentune split is used as the observable during the modulation. The two eigentunes are tracked with a high-resolution phase locked loop tune measurement system. In the article, the principle of coupling angle modulation is presented, followed by its application to the Relativistic Heavy Ion Collider (RHIC). Coupling angle modulation coupling correction has been used for the global coupling correction on the nonstop RHIC ramp.
