The application of Lie algebra techniques to beam transport design

Irwin, J.

doi:10.1016/0168-9002(90)90648-p

Cited by 32 publications

(16 citation statements)

References 5 publications

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“…4.7, the map of a sextupole can be approximated by inserting a lumped kick 10) in the middle of the drift. It is obvious that this approximation preserves the symplecticity.…”

Section: Sextupolementioning

confidence: 99%

Single-particle dynamics in electron storage rings with extremely low emittance

Cai

2011

Nuclear Instruments and Methods in Physics Research Section A:

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Electron storage rings are widely used for high luminosity colliders, damping rings in high-energy linear colliders, and synchrotron light sources. They have become essential facilities to study high-energy physics and material and medical sciences. To further increase the luminosity of colliders or the brightness of synchrotron light sources, the beam emittance is being continually pushed downward, recently to the nanometer region. In the next decade, another order of reduction is expected. This requirement of ultra-low emittance presents many design challenges in beam dynamics, including better analysis of maps and improvement of dynamic apertures. To meet these challenges, we have refined transfer maps of common elements in storage rings and developed a new method to compute the resonance driving terms as they are built up along a beamline. The method is successfully applied to a design of PEP-X as a future light source with 100-pm emittance. As a result, we discovered many unexpected cancelations of the fourth-order resonance terms driven by sextupoles within an achromat.

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“…4.7, the map of a sextupole can be approximated by inserting a lumped kick 10) in the middle of the drift. It is obvious that this approximation preserves the symplecticity.…”

Section: Sextupolementioning

confidence: 99%

Single-particle dynamics in electron storage rings with extremely low emittance

Cai

2011

Nuclear Instruments and Methods in Physics Research Section A:

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“…Particle Accelerator Schools. Finally, map and Lie methods have been used and developed extensively at SLAC for the design and operation of the SLC, the FFTB Facility, and the PEP II Bfactory, and for the design of the ILC [10][11][12][13]. They also played a key role in dynamic aperture and long-term tracking studies for the LHC [14,15].…”

Section: Past Workmentioning

confidence: 99%

Advanced Methods for the Computation of Particle Beam Transport and the Computation of Electromagnetic Fields and Multiparticle Phenomena

Dragt¹

2012

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“…43. The IP chromaticity of the final focus system, including contributions from sextupoles (of strength K s ) at dispersive locations (dispersion function D) is written as [48] [ ] ( )ds…”

Section: Final-focus Systemmentioning

confidence: 99%

Linacs and Damping Rings

Zimmermann¹

2011

Proceedings of Third Linear Collider Physics School 2009 — PoS(LCPS2009)

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This paper summarizes the second part of the "accelerator physics lectures" delivered at the Ambleside Linear Collider School 2009. It discusses more specific linear-collider issues: superconducting and room-temperature linear accelerators, particle sources for electrons and positrons, synchrotron radiation and damping, intensity limits, beam stability, and beam delivery system -including final focus, collimation, and beam-beam effects. It also presents an overview of the International Linear Collider (ILC), a description of the two beam acceleration scheme of the Compact Linear Collider (CLIC), and a comparison of the ILC and CLIC parameters. Third Linear Collider Physics School 2009 -LCPS2009

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The application of Lie algebra techniques to beam transport design

Cited by 32 publications

References 5 publications

Single-particle dynamics in electron storage rings with extremely low emittance

Single-particle dynamics in electron storage rings with extremely low emittance

Advanced Methods for the Computation of Particle Beam Transport and the Computation of Electromagnetic Fields and Multiparticle Phenomena

Linacs and Damping Rings

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