Notes on amplitude function mismatch

Technical Report · Thu Oct 01 04:00:00 EDT 1992

OSTI ID:7185659

Syphers, M; Sen, T

The design process of modern high-energy synchrotrons involves the development of the accelerator lattice in pieces, typically an arc made up of repetitive cells interrupted by occasional matched insertions for injection, extraction, acceleration and various other systems required by the facility. The focusing elements of an insertion must be such that the periodic amplitude functions at the ends of the insertion match those of the cells on either side of the insertion. How well this match has to be and its sensitivity to the global betatron tunes of the accelerator as well as the particle momentum are the underlying themes of this report. Many of the relationships also are of use to the designers of beamlines which are used to transport and inject beams into a synchrotron. Most of the content of this paper is not new to the accelerator physics community, but we thought it would be useful to place this important, basic information all in one place. Besides the classic work of Courant and Snyder, our sources include other papers, internal reports, and numerous discussions with our colleagues.

• Research Organization: Superconducting Super Collider Lab., Dallas, TX (United States)
• Sponsoring Organization: DOE; USDOE, Washington, DC (United States)
• DOE Contract Number: AC35-89ER40486
• OSTI ID: 7185659
• Report Number(s): SSCL-604; ON: DE93006093
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
430200* -- Particle Accelerators-- Beam Dynamics
Field Calculations
& Ion Optics
ACCELERATORS
BEAM DYNAMICS
BEAM INJECTION
BEAM TRANSPORT
BETATRON OSCILLATIONS
CYCLIC ACCELERATORS
DESIGN
DIFFERENTIAL EQUATIONS
EQUATIONS
EQUATIONS OF MOTION
OSCILLATIONS
PARTIAL DIFFERENTIAL EQUATIONS
SYNCHROTRONS
TUNING