Patent ID: 7880146

Claim:
A system comprising: a focus magnet specified by focus parameters comprising B iF , B eF , l iF , l eF , and Δx F ; and a defocus magnet specified by defocus parameters comprising B iD , B eD , l iD , l eD , and Δx D ; wherein the focus magnet and the defocus magnet are positioned with a separation specified by D; wherein the system is specified by system parameters comprising p e , p i , and f wherein B iF is the magnetic field strength in the focus magnet at the injection orbit, B eF is the magnetic field strength in the focus magnet at the extraction orbit, l iF is half the total focus magnet injection length, l eF is half the total focus magnet extraction length, Δx F is the focus magnet orbit separation between injection and extraction, B iD is the magnetic field strength in the defocus magnet at the injection orbit, B eD is the magnetic field in the defocus magnet at the extraction orbit, l iD is half the total defocus magnet injection length, l eD is half the total defocus magnet extraction length, Δx D is the defocus magnet focus separation between injection and extraction, p e is the extraction momentum, p i is the injection momentum, and f is the focal length; and wherein B iF , B eF , l iF , l eF , Δx F , B iD , B eD , l iD , l eD , Δx D , D, p e , p i , and f are related by non-scaling, linear-field FFAG (NLFFAG) equations and constrained by NLFFAG constraints.