Particle tracking and map analysis for compact storage rings

Particle tracking codes for large storage rings approximate the Hamiltonian by neglecting terms of order x/ρ and higher. For storage rings with small bending radius magnets like the Super Conducting X-ray Lithography Source (SXLS), which make use of combined function bending magnets, these approximations cannot be made. The authors use an explicit symplectic integrator to construct a tracking code which uses the exact Hamiltonian for drifts and isomagnetic combined function bending magnets, in a manner similar to the Teapot code. Hard edge fringe fields are included in a symplectic manner for dipoles and quadrupoles. The integrator is coupled to the DA package of Berz to provide an arbitrary order map which can be analyzed using the tools of Forest and Irwin. A discussion of the techniques and an application to the SXLS ring at Brookhaven is presented