Local gradient coils can improve the performance of echo-planar, diffu
sion, and short TE imaging in the brain, A modified singular value dec
omposition algorithm, which allows the rapid optimization and comparis
on of designs, was employed to optimize head size gradient coils, A th
eoretical expression for the torque on a cylindrical coil is presented
and used to design coils that are free from torque while pulsed withi
n a magnetic field, Gradient coils of various lengths both with and wi
thout torque constraints were compared; although torque-free coils do
not perform as well as unbalanced coils, asymmetric torque-balanced co
ils can achieve comparable homogeneity with only a modest increase in
inductance and resistance, Both types of coils outperform body size gr
adient coils by a dramatic margin, A three-axis head gradient designed
using these techniques was constructed and used for brain imaging on
a clinical scanner.