JACoW is a publisher in Geneva, Switzerland that publishes the proceedings of accelerator conferences held around the world by an international collaboration of editors.
TY - CONF AU - Xu, J.Y. AU - Lin, C.T. AU - Wang, N. AU - Xu, H.S. AU - Zhang, Y. ED - Schaa, Volker RW ED - Huang, Wenhui ED - Yan, Xueqing ED - Tang, Chuanxiang ED - Li, Lu TI - Development of a Vlasov Solver for Arbitrary Sub-optimal Lengthening Conditions in Double-RF System J2 - Proc. of SAP2023, Xichang, China, 10-12 July 2023 CY - Xichang, China T2 - Symposium on Accelerator Physics T3 - 14 LA - english AB - Solving Vlasov equation is a classic method for analyzing collective beam instabilities. Considering longitudinal impedance and the nonlinear longitudinal potential well, we developed a new Vlasov solver which can be used to study the transverse mode-coupling instability under the arbitrary sub-optimal lengthening and the optimal lengthening conditions in a double-RF system. Several different techniques to deal with the radial direction of longitudinal phase space have been tested. Numerical discretization method is selected in this paper. The development of the solver is presented in details here. Benchmarks and crosscheck of the solver have been made and presented as well. PB - JACoW Publishing CP - Geneva, Switzerland SP - 34 EP - 36 KW - synchrotron KW - coupling KW - impedance KW - betatron KW - cavity DA - 2024/11 PY - 2024 SN - 978-3-95450-265-3 DO - doi:10.18429/JACoW-SAP2023-MOPB014 UR - https://jacow.org/sap2023/papers/mopb014.pdf ER -