A new method for calculating the current densities in shielded RF prob
es for NMR imaging and spectroscopy is presented. From these current d
ensities, accurate field distributions can be calculated and the effec
ts of shielding the probe deduced. Without accurate calculations of th
e current density in the shielded coil conductors, the performance of
such coils cannot be reliably predicted. Shielded coils are shown not
only to drastically reduce external flux leakage but also to improve t
he homogeneity of the coil structure. Preliminary experimental results
for circular cross section RF resonators confirm the accuracy of the
calculated fields. The method of current density calculation is applic
able to coils of various cross sectional shapes. As an example, the cu
rrent density and fields generated by a shielded ellipsoidal RF coil a
re calculated.