A study of nonlinear dynamics in the Fermilab Tevatron

Thesis/Dissertation · Sun Jan 01 04:00:00 EST 1989

OSTI ID:5871074

Merminga, N

This thesis describes an accelerator physics experiment (E778) performed in the Fermilab Tevatron to study the nonlinear dynamics of transverse particle oscillations. Nonlinearities were introduced by sixteen special sextupole magnets. The various characteristics of the phase spare were studied experimentally. The results were compared with calculations performed by numerical tracking of particles through an accurate representation of the Tevatron. Canonical Hamiltonian theory was used to derive the quantities of interest which were in turn compared with both experimental and simulated results. Smear was one of the parameters used to quantify the degree of nonlinearity. It is the fractional root mean square deviation of the particle oscillation amplitude. After confirming that the Tevatron was essentially linear with the sextupoles turned off, smear measurements were performed and compared with calculation over a wide range of conditions. The agreement is excellent to the degree of experimental accuracy. The correlation between smear and other measures of accelerator performance such as injection efficiency and particle lifetime was studied. The conclusion is that it is still possible to diagnose and correct injection problems in the presence of strong nonlinearities. Capture of particles into stable nonlinear resonance islands was directly observed. The tune, defined as the number of oscillation periods in one revolution, is about 19.4 for the Tevatron. The island tune, defined as the frequency of rotation of a particle around the center of the island, and the capture efficiency, used to quantify the fraction of beam actually trapped in one of the islands, were calculated and compared with experimental results.

• Research Organization: Michigan Univ., Ann Arbor, MI (USA)
• OSTI ID: 5871074
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
430200* -- Particle Accelerators-- Beam Dynamics
Field Calculations
& Ion Optics
ACCELERATORS
AMPLITUDES
BEAM DYNAMICS
COMPARATIVE EVALUATIONS
CORRELATIONS
CYCLIC ACCELERATORS
FERMILAB TEVATRON
MAGNETS
MATHEMATICAL SPACE
MULTIPOLES
NONLINEAR PROBLEMS
OSCILLATIONS
PERFORMANCE
PHASE SPACE
SPACE
SYNCHROTRONS
TRAPPING