Evaluation of Synchrotron Radiation Integrals

Helm, R.; Lee, M. J.; Morton, P.; Sands, Matthew

doi:10.1109/tns.1973.4327284

Cited by 80 publications

(44 citation statements)

References 1 publication

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“…If the bending radius ðsÞ varies around the ring circumference, rather than use the average value we make the substitution of the third synchrotron radiation integral [30,32],…”

Section: A Radiative Polarizationmentioning

confidence: 99%

Storage ring lattice calibration using resonant spin depolarization

Wootton

Boland

Corbett

et al. 2013

Phys. Rev. ST Accel. Beams

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This paper presents measurements of the GeV-scale electron beam energy for the storage rings at the synchrotron light source facilities Australian Synchrotron (AS) and SPEAR3 at SLAC. Resonant spin depolarization was employed in the beam energy measurement, since it is presently the highest precision technique and an uncertainty of order 10 À6 was achieved at SPEAR3 and AS. Using the resonant depolarization technique, the beam energy was measured at various rf frequencies to measure the linear momentum compaction factor. This measured linear momentum compaction factor was used to evaluate models of the beam trajectory through combined-function bending magnets. The main bending magnets of both lattices are rectangular, horizontally defocusing gradient bending magnets. Four modeling approaches are compared for the beam trajectory through the bending magnet: a circular trajectory, linear and nonlinear hyperbolic cosine trajectories, and numerical evaluation of the trajectory through the measured magnetic field map. Within the uncertainty of the measurement the momentum compaction factor is shown to agree with the numerical model of the trajectory within the bending magnet, and disagree with the hyperbolic cosine approximation.

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“…If the bending radius ðsÞ varies around the ring circumference, rather than use the average value we make the substitution of the third synchrotron radiation integral [30,32],…”

Section: A Radiative Polarizationmentioning

confidence: 99%

Storage ring lattice calibration using resonant spin depolarization

Wootton

Boland

Corbett

et al. 2013

Phys. Rev. ST Accel. Beams

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“…The normalized equilibrium emittance for a damping ring, with chicane included, can be written as [4] …”

Section: Emittancementioning

confidence: 99%

Circumference Correction Chicanes for Damping Rings

Emma¹

2004

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“…If collective effects are ignored, the standard deviation bunch length in a storage ring can be calculated from the synchrotron radiation integrals from [3] …”

Section: Cesr Single Bunch Dynamicsmentioning

confidence: 99%

“…where 2 I , 3 I and 4 I are the synchrotron radiation integrals. The term is the momentum V rf 6.70 MV Table 2.…”

Section: Cesr Single Bunch Dynamicsmentioning

confidence: 99%

Single bunch longitudinal measurements of the Cornell Electron-Positron Storage Ring with the superconducting RF cavities

Holtzapple

Rice²

PACS2001. Proceedings of the 2001 Particle Accelerator Conference (Cat. No.01CH37268)

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As part of the Phase III luminosity upgrade, the Cornell Electron-Positron Storage Ring (CESR) RF system has been upgraded from normal conducting (NRF) to superconducting (SRF) cavaties. The new superconducting cavities change the overall impedance of CESR and thus change the longitudinal bunch distribution. Measurements of the single bunch longitudinal distribution have been made using a streak camera on CESR with the SRF cavities present. These measurements are compared with earlier measurements on CESR with the NRF cavities. The CESR vacuum chamber impedance is determined from the current dependence of the single bunch charge distribution.

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Evaluation of Synchrotron Radiation Integrals

Cited by 80 publications

References 1 publication

Storage ring lattice calibration using resonant spin depolarization

Storage ring lattice calibration using resonant spin depolarization

Circumference Correction Chicanes for Damping Rings

Single bunch longitudinal measurements of the Cornell Electron-Positron Storage Ring with the superconducting RF cavities

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