Electrostatic deflectors and dispersion suppressors: Their formulation and application to a storage ring

A single particle dynamics in beam bending elements including electrostatic fields is formulated. A general form of scalar potentials of electrostatic deflectors is obtained from solutions of the Maxwell equation having axial symmetry. Equations of motion of a charged particle in various types of the electrostatic deflectors are derived based on Hamiltonian formalism. The equation of motion in dispersion suppressors, which are a combination of the electrostatic deflectors and dipole magnets, are also formulated and generalized. Application of one of the dispersion suppressors to an existing heavy ion storage ring S-LSR provides the better condition for generation of a multidimensional crystalline beam. It is shown that this condition is achievable by real fabricated devices composed of a dipole magnet and an electrostatic deflector equipped with intermediate electrodes. The effectiveness of this dispersion suppressor for the real operation is shown by a particle tracking including the nonlinear field component.