Consideration on shape dependence of wake field accelerators

Wake fields are typical transient electromagnetic phenomena, which require numerical methods for analysis because experimental observation of the phenomena is almost impossible. The Boundary Elements Method (BEM) is suitable for wake field analysis because the fields are homogeneous and mesh generation is easier than FDM or FEM type numerical schemes. From this point of view, the paper considers a method of BE analysis of wake fields. Especially, it is shown that the Dirichlet type boundary condition can be used for a perfect conductor surface when scalar and vector potentials are used as unknown variables. Finally, the shape dependence of a wake field accelerator is discussed using the BEM