title: Investigation of the Effect of Finite Pulse Errors on BABA Pulse Sequence Using Floquet-Magnus Expansion Approach.
abstract: This paper presents the study of finite pulse widths for the BABA pulse sequence using the Floquet-Magnus expansion (FME) approach. In the FME scheme, the first orderF1is identical to its counterparts in average Hamiltonian theory (AHT) and Floquet theory (FT). However, the timing part in the FME approach is introduced via theΛ1(t) function not present in other schemes. This function provides an easy way for evaluating the spin evolution during "the time in between" through the Magnus expansion of the operator connected to the timing part of the evolution. The evaluation ofΛ1(t) is useful especially for the analysis of the non-stroboscopic evolution. Here, the importance of the boundary conditions, which provides a natural choice ofΛ1(0) is ignored. This work uses theΛ1(t) function to compare the efficiency of the BABA pulse sequence withδ - pulsesand the BABA pulse sequence with finite pulses. Calculations ofΛ1(t) andF1are presented.
authors: HARVARD UNIVERSITY, HARVARD MEDICAL SCHOOL AND MASSACHUSETTS GENERAL HOSPITAL Center for Advanced Radiological Sciences, Division of Nuclear Medicine and Molecular Imaging Physics Department of Radiology, 55 Fruit Street, Boston, Massachusetts, 02114.
authors: Eugene S
authors: ES
authors: Mananga
authors: THE CITY UNIVERSITY OF NEW YORK, MEDGAR EVERS COLLEGE, 1638 Bedford Avenue, Brooklyn, NY, 11225.
authors: Alicia E
authors: AE
authors: Reid
keywords: BABA Pulse Sequence; Dipolar Coupling; Finite Pulse Widths; Floquet-Magnus Expansion