Optics design of vertical excursion fixed-field alternating gradient accelerators

Vertical excursion fixed-field alternating gradient accelerators can be designed with tunes that are invariant respect to momentum and trajectories scaled images of each other displaced only in the vertical direction. This is possible using guiding fields have a exponential increase, skew quadrupole component magnet body solenoid at ends. Because coupling this introduces, orbit optics calculations optimisation parameters need performed numerically. In paper, idealised magnetic calculated from first principles, taking into account end fields. The parameter dependence dynamic aperture ring for example an approximately 25 m circumference accelerates proton beams 3 MeV 12 MeV. paper reports time design such accelerator lattice tools specifically devised analyse transverse coupled without approximations.