Initial Value Problem Formulation TDBEM with 4-D Domain Decomposition Method and Application to Wake Fields Analysis

The Time Domain Boundary Element Method (TDBEM) has its advantages in the analysis of transient electromagnetic fields (wake fields) induced by a charged particle beam with curved trajectory in a particle accelerator. On the other hand, the TDBEM has disadvantages of huge required memory and computation time compared with those of the Finite Difference Time Domain (FDTD) method or the Finite Integration Technique (FIT). This paper presents 4-D domain decomposition method for the TDBEM based on an initial value problem formulation and application to a full model simulation of the bunch compressor section of the high-energy particle accelerators, in which the charged particle beam takes curved trajectory and the trajectory is sensitively affected by the wake fields