Generalized Parameter Relations for the Shinnar-Le Roux Pulse Design Algorithm
University of Sheffield
The parameters relating magnetization and polynomial ripples in Shinnar-LeRoux pulse design were first derived by Pauly et al (1991) for five classes of pulses. However, these expressions do not cover the entire range of flip angles, e.g. neither the small-tip-angle or 90 relations for excitation pulses are exactly right for a flip angle of 70. Here, parameter relations have been derived that are more general. Use of the new relations are shown to give simulated slice profiles that have the desired ripple amplitudes for a wider range of flip angles.