A charged particle focusing and deflection apparatus and system utilizing one or more (i.e. stacked) ring-shaped electrodes which are contorted or deformed to shape a multipole electric field and thereby effect multipole electric focusing and deflection. In particular the ring-shaped electrodes may be used in a high gradient insulator of a particle accelerator, such as a dielectric wall accelerator (DWA).
FEDERALLY SPONSORED RESEARCH OR DEVELOPMENT
 The United States Government has rights in this invention pursuant to Contract No. DE-AC52-07NA27344 between the United States Department of Energy and Lawrence Livermore National Security, LLC for the operation of Lawrence Livermore National Laboratory.