title: Exact half pulse synthesis via the inverse scattering transform.
abstract: In a paper of Nielson et al. it is shown, using the linear approximation, that it might be possible to create a pair of RF-pulses, which, after summation of the unrephased signals achieve a specified transverse magnetization. Such pulses, designed using the linear approximation, show rather poor slice selectivity. Using the inverse scattering transform formalism we give an algorithm to exactly achieve a specified "summed" transverse magnetization profile. Indeed for a constant phase transverse profile, our algorithm produces infinitely many solutions.
authors.affiliation: LSNI, Department of Radiology, HUP, University of Pennsylvania, USA.
authors.forename: Jeremy
authors.initials: J
authors.lastname: Magland
authors.forename: Charles L
authors.initials: CL
authors.lastname: Epstein