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TY - CONF AU - Jimbo, K. ED - Boland, Mark ED - Tanaka, Hitoshi ED - Button, David ED - Dowd, Rohan ED - Schaa, Volker RW ED - Tan, Eugene TI - The Betatron Equation with the Synchro-Betatron Coupling Term and Suppression of the Coupled Bunch Mode J2 - Proc. of IPAC2019, Melbourne, Australia, 19-24 May 2019 CY - Melbourne, Australia T2 - International Particle Accelerator Conference T3 - 10 LA - english AB - The synchrotron oscillation, which is both longitudinal and horizontal oscillations, occurs under a constant longitudinal velocity of revolving particle. The synchrotron and betatron equations for revolving particles are derived from the improved Hamiltonian. The betatron equation accompanys the shinchro-betatron resonant coupling term. The coherent synchrotron oscillation frequency of the bunch is defined from the integrated phase. Taking advantage of the resonant coupling term, an experiment to suppress magnetically the destabilized coupled-bunch mode of the synchrotron oscillation is proposed. PB - JACoW Publishing CP - Geneva, Switzerland SP - 957 EP - 959 KW - synchrotron KW - betatron KW - coupling KW - closed-orbit KW - dipole DA - 2019/06 PY - 2019 SN - 978-3-95450-208-0 DO - DOI: 10.18429/JACoW-IPAC2019-MOPTS045 UR - http://jacow.org/ipac2019/papers/mopts045.pdf ER -