Magnetic resonance selective excitation method of a target distribution of magnetization with complete full integration of bloch equations for rf large angle pulses (lap)'s that are 15 degrees or greater, without small angle approximation

Abstract

A magnetic resonance method for using radio frequency pulses for spatially selective and frequency selective or multidimensionally spatially selective excitation of an ensemble of nuclear spins with an initial distribution of magnetization in a main magnetic field aligned along a z-axis, wherein a spin magnetization with a given target distribution of magnetization is generated, and for refocusing the spin magnetization, is characterized in that the radio frequency pulse is used as a sequence of sub-pulses of independent duration, courses of gradients and spatial and/or spectral resolution, comprising one or more large angle RF pulses with tip angles greater than or approximately equal to 15°, which generate a gross distribution of magnetization approximating the target distribution of magnetization or a desired modification of the distribution of magnetization with a mean deviation less than or approximately equal to 15°, wherein the actual effect of the LAPs on the distribution of spin magnetization before the radio frequency pulse is used is calculated by integration of the Bloch equations without small angle approximation, and one or more small angle RF pulses=SAPs with tip angles less than or approximately equal to 15° reducing the difference between the target distribution of magnetization and the gross distribution of magnetization caused by the LAPs.