Title :
A dispersionless algorithm for calculating wake potentials in 3D
Author :
Hampel, R. ; Muller, W.F.O. ; Weiland, T.
Author_Institution :
Tech. Univ. Darmstadt, Darmstadt
Abstract :
Accurate computations of wake potentials are an important task in modern accelerator design. Short bunches used in high energy particle accelerators excite very high- frequency fields. The geometrical size of accelerating structures exceeds the wavelength of the excited fields by many orders of magnitude. The application of codes such as TBCI, MAFIA[1] or tamBCI are limited due to numerical dispersion effects and memory needs. Recently new codes like PBCI have been developed to overcome these problems. In this work the utilization of dispersionless directions in the leap-frog update scheme on a Cartesian grid are proposed for accurate simulations. In conjunction with a conformal modeling technique which allows for the full Courant time step a moving window technique can be applied. This was previously implemented in a 2D code [2]. In this publication an extension to arbitrary three dimensional problems is presented.
Keywords :
particle beam bunching; particle beam dynamics; physics computing; MAFIA codes; PBCI codes; TBCI codes; accelerating structures; cartesian grid; conformal modeling technique; courant time step; dispersionless algorithm; excited fields; geometrical size; high energy particle accelerators; high-frequency fields; leap-frog update scheme; modern accelerator design; numerical dispersion effects; particle bunch; tamBCI codes; wake potentials; window technique; Acceleration; Algorithm design and analysis; Beams; Dispersion; Electromagnetic fields; Linear particle accelerator; Maxwell equations; Particle accelerators; Propagation losses; USA Councils;
Conference_Titel :
Particle Accelerator Conference, 2007. PAC. IEEE
Conference_Location :
Albuquerque, NM
Print_ISBN :
978-1-4244-0916-7
DOI :
10.1109/PAC.2007.4440394
