Improving the time efficiency of the Fourier synthesis method for slice selection in magnetic resonance imaging

Highlights • Provided novel insight to Fourier synthesis method by representing the Bloch equation in the spherical coordinates. • Proposed a novel sequence of pulses to improve the time efficiency of the Fourier synthesis method. • Proved the validity of Fourier synthesis method using mathematical induction. • Numerically validated the proposed sequence of pulses for slice selection. • Introduced a gradient complexity measure to compare the original and the proposed sequence of pulses for slice selection.