A proof of principle of a storage ring with fifth-order achromatic bending arcs

The design of a storage ring consisting of two identical 180-degree bending arcs and two short straight sections is presented. Each of the bending arcs is a four-cell fifth-order achromat designed according to a recently developed theory about arbitrary-order achromats. Instead of repetition of cells, which is widely used in achromat design based on normal form theory, we utilize cells which are obtained from the the original ones through mirror imaging about the x-y plane, which corresponds to a reversion. In our design, the second cell is the reversion of the first one. The third and fourth cells are identical to the first and second ones, respectively. Long term stability is studied through high-order tracking using code COSY INFINITY.