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TY - CONF
AU - Laface, E.
AU - Esteban Müller, J.F.
ED - Koscielniak, Shane
ED - Satogata, Todd
ED - Schaa, Volker RW
ED - Thomson, Jana
TI - Semi-Empirical Hamiltonian Model for Elliptical Cavities
J2 - Proc. of IPAC2018, Vancouver, BC, Canada, April 29-May 4, 2018
C1 - Vancouver, BC, Canada
T2 - International Particle Accelerator Conference
T3 - 9
LA - english
AB - We propose to use the sum of TM_{0m0} modes to treat a radio-frequency superconducting elliptical cavity as a pill-box cavity with variable radius. The amplitudes of the different modes are obtained interpolating the field-map of the cavity with the model. Once the field is calculated, the Hamiltonian of the cavity is constructed and used to evaluate the transfer matrices associated to each step of the field-map. The multi-particle non-linear dynamics can also be evaluated using the Lie Transform of the Hamiltonian. The results are benchmarked against the ESS Linac Simulator contained in the OpenXAL suite.
PB - JACoW Publishing
CP - Geneva, Switzerland
SP - 3127
EP - 3130
KW - cavity
KW - linac
KW - simulation
KW - linear-dynamics
KW - proton
DA - 2018/06
PY - 2018
SN - 978-3-95450-184-7
DO - 10.18429/JACoW-IPAC2018-THPAF065
UR - http://jacow.org/ipac2018/papers/thpaf065.pdf
ER -