COMPENSATION OF THE SPACE CHARGE FORCE IN A SYNCHROTRON BY MEANS OF RF QUADRUPOLE

Abstract：

Quantitative analysis of the space charge force compensation by means of RF quadrupoles in a synchrotron is given. For a bunched beam, if RF quadrupole magnets operating at the fundamental RF frequency (or at most the fundamental and the second harmonic frequency) are applied, the linear betatron turn shift Δv, excited by the linear part of space charge force, would be diminished effectively for the most particles, either in palabolic distribution at longitudinal direction or in Gaussian distribution. Then the space charge limit, mainly decided by nonlinear turn shift, would be raised twice as large as that given in Laslett formular.