A formalism and computer program for coupled lattices

A formalism for calculating the lattice functions and emittances of a coupled electron-positron storage ring is presented. The lattice functions are calculated directly from the modal matrix of the betatron transport matrix for the ring. The emittances and damping rates are then calculated from the invariants found in the diagonalized representation. In addition, a computer program is described which uses the formalism to calculate the coupled lattice functions, emittances, and damping rates. The program can either reconstruct the closed orbit from beam position monitor data and dipole corrector strengths, or construct an orbit from misalignments entered into the lattice and then optionally correct the orbit with dipole correctors. The lattice functions, emittances, etc. are then calculated about the resulting closed orbit