Almost all clinical magnetic resonance imaging systems are based on ci
rcular cross-section magnets. Recent advances in elliptical cross-sect
ion RF probe and gradient coil hardware raise the question of the poss
ibility of using elliptical cross-section magnet systems, This paper p
resents a methodology for calculating rapidly the magnetic fields gene
rated by a multi-turn coil of elliptical cross-section and incorporate
s this in a stochastic optimization method for magnet design, An open
magnet system of elliptical cross-section is designed that both reduce
s the claustrophobia for the patients and allows ready access by atten
ding physicians, The magnet system is optimized for paediatric use, Th
e coil geometry produced by the optimization method has several novel
features.