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. Author manuscript; available in PMC: 2017 Jan 1.
Published in final edited form as: J Magn Reson. 2015 Dec 12;262:33–41. doi: 10.1016/j.jmr.2015.12.002

Figure 7.

Figure 7

Dependence of OC pulses and their performances on cost functions. (a) The x components of the OC pulses maximizing the cost functions ϕ (solid) and ϕ′ (dash). The y components are null. (b) The evolutions of the z components of the magnetization vectors on resonance while applying the WURST pulse (black lines) and the OC pulses maximizing the cost functions ϕ (blue lines) and ϕ′ (red lines). (c) The evolutions of the z components of the magnetization vectors at ±100 Hz while applying the WURST pulse (black and green lines) and the OC pulses maximizing the cost functions ϕ (blue lines) and ϕ′ (red lines). For the OC pulses, the trajectories for −100 Hz and +100 Hz coincide. The straight and dashed lines respectively represent the systems with the relaxation times 38 ms and 20 ms.