Chao Ma1,
2, Zhi-Pei Liang, 23
1Department
of Electrical and Computer Engineering , University of Illinois at
Urbana-Champaign, Urbana, IL, United States; 2Beckman Institute,
University of Illinois at Urbana-Champaign, Urbana, IL, United States; 3Department
of Electrical and Computer Engineering, University of Illinois at
Urbana-Champaign, Urbana, IL, United States
The SLR method is the method-of-choice in 1D RF pulse design. It is desirable to generalize the SLR method to design multidimensional RF pulses, which is accomplished in this work. We convert the problem to a series of 1D RF pulse design problems, each of which is equivalent to a 1D polynomial design problem that can be efficiently solved using convex optimization. The proposed method preserves almost all the desirable features of the SLR method in terms of handling the nonlinearity of the Bloch equation and tradeoffs among design parameters and computational efficiency.