Emittance growth due to power ripple in a hadron collider
Author(s) -
Gennady Stupakov
Publication year - 1993
Publication title -
osti oai (u.s. department of energy office of scientific and technical information)
Language(s) - English
Resource type - Reports
DOI - 10.2172/67498
Subject(s) - betatron , thermal emittance , ripple , superconducting super collider , physics , amplitude , beam emittance , transient (computer programming) , beam (structure) , particle accelerator , collider , power (physics) , nuclear physics , hadron , nonlinear system , computational physics , optics , quantum mechanics , computer science , operating system
Emittance growth of the beam caused by power supply ripple in the Superconducting Super Collider (SSC) is studied. We find that due to nonlinear terms in the equation of the betatron oscillations, the emittance grows only during an initial transient period, after which its increase saturates at some level. An analytical formula is derived that gives the fractional increase of the emittance as a function of the amplitude of the ripple. Numerical estimates for the SSC are presented
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