Simultaneous Use of Linear and Nonlinear Gradients as Independent K-Space Variables for RF Excitation

Effect of nonlinear gradients on the RF excitation profile is formulated by using independent k-space variables. During pulse design, target excitation profiles can be calculated in order to eliminate the effect of B1 inhomogeneity. Use of independent k-space variable for nonlinear gradients leads to design technique for optimally combining linear gradients and nonlinear gradients. Optimizations have been performed in order to achieve target excitation profile. An example case demonstrates that simultaneous use of linear gradients and nonlinear gradients can achieve more accurate excitation profile in comparison with the only linear or only nonlinear gradients.

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