title: A near-resonance solution to the bloch equations and its application to RF pulse design
abstract: A near-resonance expansion of the solution to the Bloch equations in the presence of a radiofrequency (RF) pulse is presented in this paper. The first-order approximation explicitly demonstrates the nonlinear nature of the Bloch equations and precisely relates the excitation profile with the RF pulse when the flip angle is less than pi/2. As an application of this solution, we present a procedure for designing RF pulses to generate symmetric excitation profiles with arbitrary shapes for new encoding approaches such as wavelet encoding. Copyright 1999 Academic Press.
authors.affiliation: Department of Electrical Engineering, Texas A&M University, College Station, Texas, 77843-3128, USA.
authors.initials: Z
authors.lastname: Xu
authors.initials: AK
authors.lastname: Chan