Q. Liu et al., GENERAL EXPRESSIONS FOR THE MAGNETIC-FIELD AND STORED ENERGY OF ELLIPTIC CYLINDER COILS, Journal of magnetic resonance. Series B, 113(3), 1996, pp. 222-227
General expressions involving Mathieu functions are derived for the ma
gnetic field and stored energy associated with distributed currents, f
lowing, both azimuthally and axially, on the surface of an elliptic cy
linder. These expressions can be used to design elliptical gradient co
ils of minimum inductance for MRI, as well as elliptical coils that wi
ll generate a uniform magnetic field or higher Order shim fields. (C)
1996 Academic Press, Inc