Simulation of a Radio-Frequency-Quadrupole with the Method of Moments (MoM)

The aim of this thesis is to attempt to reduce the computational time of present solvers for the simulation of accelerator cavities that constitute LIN-ear ACelerators (LINAC) while conserving the accuracy of a full wave solver. Cavity has to be understood in a large sense namely any RF resonators that constitutes a LINAC and not only losed resonators. Reducing the computational time may other to possibility to perform numerical optimizations of these cavities. A Radio Frequency Quadrupole (RFQ) is an accelerating cavity placed at the very beginning of a LINAC. It is a very critial component of an accelerator because it affects the quality and stability of the beam in all the further sections of the accelerator. Unfortunately, the conditions of stability of the beam inside a RFQ are very sensitive to the geometrical parameters, to the input beam parameters and to the RF source parameters. Therefore, the design of a RFQ must be performed as carefully as possible. In general, it is validated with the help of several independent solvers. In this thesis, the RFQ will be the cavity of test for our solver. In particular, the reference RFQ design used in this thesis is the MYRRHA RFQ, designed at the University of Goethe (Frankfurt).