Compensation of concomitant Maxwell gradient effects in 3D multi-element spatially selective RF excitation

Introduction Parallel RF excitation using multi-element transmit coils is of interest to reduce pulse duration for spatially selective excitation. Originally, RF pulse design was formulated in the frequency domain for arbitrary k-space trajectories (Transmit-SENSE, [1]) or in the spatial domain for echo-planar trajectories [2]. Later, Transmit-SENSE was formulated in the spatial domain in [3] allowing to specify a spatial region of interest. Here, we extend this method to compensate for the effects of concomitant Maxwell gradients [4]. They become important especially for a large field of excitation (FoX) and long pulse duration mainly found in 3D RF pulse applications.