Published 1989 | Version v1
Report Open

The effect of sexpolar fields on betatron tune spread

Creators

Description

The effect of right and sexpolar fields on betatron tune spread in synchrotrons are investigated by means of the second order approximation of an averaging method. Closed orbit distortions and beam momentum spread are taken into account. This analysis displays the dependence of tunes both on amplitudes of betatron oscillation and amplitudes and phases of the closed orbit harmonics. The square dependences of tunes (on momentum) are also developed and corrections are made to take into account the sagitta in the dipole magnets. The developed ratios are used to calculate the tune spread of the JINR nuclotron. 13 refs.; 4 figs

Availability note (English)

MF available from INIS under the Report Number.

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Additional details

Additional titles

Original title (Russian)
Влияние квадратичных нелинейностей магнитного поля на разброс частот бетатронных колебаний

Publishing Information

Imprint Pagination
23 p.
Report number
JINR--9-89-487

INIS

Country of Publication
USSR
Country of Input or Organization
USSR
INIS RN
22055807
Subject category
S43: PARTICLE ACCELERATORS;
Descriptors DEI
BETATRON OSCILLATIONS; HARMONICS; HEAVY ION ACCELERATORS; JINR SYNCHROTRON; MAGNETIC DIPOLES; MAGNETIC FIELDS; NONLINEAR PROBLEMS; NUMERICAL SOLUTION; STRUCTURE FUNCTIONS
Descriptors DEC
ACCELERATORS; BEAM DYNAMICS; CYCLIC ACCELERATORS; DIPOLES; DYNAMICS; FUNCTIONS; MECHANICS; MULTIPOLES; OSCILLATIONS; SYNCHROTRONS