Determination of the linear coupling resonance strength using two-dimensional invariant tori

Liu, J. Y.; Ball, M.; Brabson, B.; Budnick, J. I.; Caussyn, D.D.; Derenchuk, V.; East, G.; Ellison, M.; Friesel, D.L.; Hamilton, B.; Huang, H.; Jones, W. P.; Lee, Shyh Yuan; Li, D.; Ng, K.Y.; Riabko, A.; Sloan, T.; Wang, Y.

doi:10.1103/physreve.49.2347

Cited by 16 publications

(9 citation statements)

References 5 publications

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“…The horizontal and vertical oscillations can be factored into a fast oscillation (determined by n x and n y ) and a slow amplitude (determined by n) modulation term. The slow modulation is easily seen from the expression for the amplitudes Figure 1 shows two examples of two-dimensional integrated beam profiles as given by expressions (7) and (8).…”

Section: K͑s͒ Ec Ementioning

confidence: 97%

“…The method presented here is quite cheap to implement and the hardware is simpler than the turn-by-turn beam position monitor (BPM) system used in [8]. Of course, a pair of turn-by-turn BPMs provides much more detailed information on the geometry of phase space than the averaged beam profile, which gives only a projection of phase space onto the xy plane.…”

Section: Methods Limitationsmentioning

confidence: 99%

“…Here again, w͑ j͒ 2pj with j a positive integer. The position vector R ͑x, y͒ describes ellipses whose parameters vary slowly according to n. Defining n ͑n x 1 n y ͒͞2, we can write the map (7) and (8) …”

Section: A Extracting the Beam Profile Bordermentioning

confidence: 99%

“…The perturbation can be a kick [6] or continuous wave excitation [7]. More recently, observations of coherent oscillations on a turn-by-turn basis at two different locations in the storage ring have allowed the experimental determination of both the modulus and the phase of k from a Hamiltonian description of the coupled dynamics [8][9][10].…”

Section: Introductionmentioning

confidence: 99%

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Measurement of the modulus and phase of the linear coupling coefficient by analysis of the transverse beam profile

Tavares

Xavier

Liu

et al. 1998

Phys. Rev. ST Accel. Beams

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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 observed by focusing visible synchrotron radiation from a bending magnet onto a fast charge-coupled device camera. Using a single resonance approximation, we calculated the border of the time-averaged transverse beam profile as a function of the complex coupling coefficient k, which characterizes the distribution of coupling fields along the storage ring. A leastsquares fit of the calculated beam profile border to the experimentally obtained isointensity contours provided a new method to determine both the modulus and the phase of k. The values obtained for the modulus are in good agreement with those from the conventional normal mode tune separation technique, and the values obtained for the phase of k agree with calculations based on the model lattice and the known skew quadrupole distribution. [S1098-4402(98)

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Section: K͑s͒ Ec Ementioning

confidence: 97%

Section: Methods Limitationsmentioning

confidence: 99%

Section: A Extracting the Beam Profile Bordermentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Measurement of the modulus and phase of the linear coupling coefficient by analysis of the transverse beam profile

Tavares

Xavier

Liu

et al. 1998

Phys. Rev. ST Accel. Beams

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“…Before we started taking orbit response data, the linear betatron coupling in the ring had to be minimized [9,10], where the beam is kicked in one direction and tuned to minimize the observed motion in the orthogonal plane. This effect can be maximized if the X and Y tunes are close to each other.…”

Section: Orbit Response Experimentsmentioning

confidence: 99%

First test of orbit response matrix in proton storage ring

Chu

Ball

East

et al.

Proceedings of the 1997 Particle Accelerator Conference (Cat. No.97CH36167)

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The Orbit Response Matrix method is applied to experimentally determine the Cooler ring optics at the Indiana University Cyclotron Facility (IUCF). We have carried out two experiments in Oct. and Nov. 1996 to measure the orbit response of the IUCF Cooler Ring. An analysis software was adopted from the NSLS, BNL[1]. In our analysis, strength error in quadrupoles and steering dipoles, and amplifier gain in BPMs are included as fitting parameters. However, effects of the linear and non-linear coupling are excluded in our preliminary analysis. Since the resolution of our BPM system is of the order of 10 µm, we will address the effect of BPM resolution on the applicability of the orbit response matrix method in proton storage rings.

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Design, fabrication and experimental results of a multi-purpose Panofsky magnet

Budnick

Hall

et al. 1996

Nuclear Instruments and Methods in Physics Research Section A:

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Determination of the linear coupling resonance strength using two-dimensional invariant tori

Cited by 16 publications

References 5 publications

Measurement of the modulus and phase of the linear coupling coefficient by analysis of the transverse beam profile

Measurement of the modulus and phase of the linear coupling coefficient by analysis of the transverse beam profile

First test of orbit response matrix in proton storage ring

Design, fabrication and experimental results of a multi-purpose Panofsky magnet

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