Lk. Forbes et al., CALCULATING CURRENT DENSITIES AND FIELDS PRODUCED BY SHIELDED MAGNETIC-RESONANCE-IMAGING PROBES, SIAM journal on applied mathematics, 57(2), 1997, pp. 401-425
A method is presented for computing the fields produced by radio frequ
ency probes of the type used in magnetic resonance imaging. The effect
s of surrounding the probe with a shielding coil, intended to eliminat
e stray fields produced outside the probe, are included. An essential
feature of these devices is the fact that the conducting rungs of the
probe are of finite width relative to the coil radius, and it is there
fore necessary to find the distribution of current within the conducto
rs as part of the solution process. This is done here using a numerica
l method based on the inverse finite Hilbert transform, applied iterat
ively to the entire structure including its shielding coils. It is obs
erved that the fields are influenced substantially by the width of the
conducting rungs of the probe, since induced eddy currents within the
rungs become more pronounced as their width is increased. The shield
is also shown to have a significant effect on both the primary current
density and the resultant fields. Quality factors are computed for th
ese probes and compared with values measured experimentally.