Snakes, rotators, serpents and the octahedral group

Technical Report · Tue Apr 01 04:00:00 EST 1986

DOI:https://doi.org/10.2172/5848551· OSTI ID:5848551

Fieguth, T

Specific configurations of horizontal and vertical bending magnets are given that, when acting on the spin polarization vector of a particle beam, generate a group of 24 operators isomorphic to the group of rotational symmetries of a cube, known as the octahedral group. Some of these configurations have the feature of converting transversely polarized beams to longitudinally polarized beams (or vice versa) at the midpoint of the configuration for, in principle, all beam energies. Since the first order optical transfer matrix for each half of these configurations is nearly that of a drift region, the external geometry remains unchanged and midpoint dispersion is not introduced. Changing field strengths and/or polarities allows a configuration to serve as either a Snake(1/sup st/ or 2/sup nd/ kind) or a Rotator, where in both cases the spin polarization is longitudinal at the midpoint. In this conceptualization, emphasis has been placed on electron beams and, indeed, for these beams some practical applications can be envisioned. However, due to the relatively high integrated field strengths required, application of these concepts to proton beams may be more promising.

• Research Organization: Stanford Linear Accelerator Center, Menlo Park, CA (USA)
• DOE Contract Number: AC03-76SF00515
• OSTI ID: 5848551
• Report Number(s): SLAC/AP-52; ON: DE86011146
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420200* -- Engineering-- Facilities
Equipment
& Techniques
ACCELERATORS
BEAM BENDING MAGNETS
BEAMS
CONFIGURATION
CYCLIC ACCELERATORS
ELECTRICAL EQUIPMENT
ELECTROMAGNETS
ELECTRON BEAMS
EQUIPMENT
LEPTON BEAMS
MAGNETS
MOTION
PARTICLE BEAMS
POLARIZED BEAMS
ROTATION