We describe a multidimensional small-tip RF pulse design procedure that incorporates concomitant field effects and gradient imperfections. Nonrotating concomitant fields in the reference frame are modeled as a Bloch-Siegert shift in the rotating frame and treated as higher-order phase terms in the excitation k-space formalism. We evaluate the effects of concomitant fields using simulations that mimic current 0.55T, 1.5T, 3T, and 7T systems. The proposed procedure produces more accurate excitation patterns, especially when concomitant field effects are strongest, i.e., low field strengths, off-isocenter, and longer pulse durations.
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