Theory of the Alternating-Gradient Synchrotron

Courant, E. D.; Snyder, Hartland S.

doi:10.1006/aphy.2000.6012

Cited by 93 publications

(117 citation statements)

References 14 publications

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“…The Courant-Snyder invariant (I cs ) [44] and the action (J ) in phase space are related through the Courant-Snyder parameters (α, β, and γ):…”

Section: Actionsmentioning

confidence: 99%

Error-Induced Beam Degradation in Fermilab's Accelerators

Yoon

2008

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“…The Courant-Snyder invariant (I cs ) [44] and the action (J ) in phase space are related through the Courant-Snyder parameters (α, β, and γ):…”

Section: Actionsmentioning

confidence: 99%

Error-Induced Beam Degradation in Fermilab's Accelerators

Yoon

2008

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“…In a defocusing quadrupole the role of the x and y planes is exchanged. The composed effect of a focusing and a defocusing quadrupole separated by an empty space is a focusing dynamics in both planes [7]. An optical model of a FODO cell can be built by using two saddle parabolic mirrors separated by an empty space and rotated of 90 • one respect to the other.…”

Section: An Optical Focusing Cellmentioning

confidence: 99%

“…The key magnetic structure that provides the linear transverse stability of the reference orbit is the FODO cell. The FODO cell is defined by one focusing k 2 < 0 and one defocusing k 2 > 0 quadrupole separated by two dipoles or two empty spaces [7]. In the real accelerators the dynamics in a FODO may be nonlinear due to multipolar errors in the dipoles or to multipolar magnets (i.e.…”

Section: Introductionmentioning

confidence: 99%

An optical Hamiltonian experiment and the beam dynamics

Bazzani

Freguglia

Fronzoni

et al. 2006

Nuclear Instruments and Methods in Physics Research Section A:

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Abstract. The analogy between geometric optics and Hamiltonian mechanics is used to propose an experiment that simulates the beam propagation in a focusing magnetic lattice of a particle accelerator. A laser beam is reflected several times by a parabolic mirror and the resulting pattern is registered by a photo-camera. This experiment allows to illustrate some aspects of nonlinear beam transport in presence of nonlinearities and stochastic perturbations. The experimental results are discussed and compared with computer simulations.

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“…[80]- [83]). Various definitions, which depend on the choice of F , are used depending on the particular application.…”

Section: Appendix a -Definition Of The Beam Emittancementioning

confidence: 99%

Emittance preservation in linear accelerators

Minty¹

2001

AIP Conference Proceedings

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Abstract.In linear colliders preservation of the phase space density of charged particles during acceleration to high energies is essential. In practice, the electromagnetic fields which govern the beam transport may not be sufficiently well understood. This may arise, for example, from magnet and structure alignment and/or manufacturing errors, timevarying electromagnetic fields due to component vibration or imperfect regulation, or at high beam currents, from beam-induced fields. These inadequacies may be overcome using measurements of the beam response. In this report we review such methods for preserving single-bunch beam emittances with experimental results from the Stanford Linear Collider.

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Theory of the Alternating-Gradient Synchrotron

Cited by 93 publications

References 14 publications

Error-Induced Beam Degradation in Fermilab's Accelerators

Error-Induced Beam Degradation in Fermilab's Accelerators

An optical Hamiltonian experiment and the beam dynamics

Emittance preservation in linear accelerators

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