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Geometric Numerical Methods and Results in the Control Imaging Problem in Nuclear Magnetic Resonance

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Academic year: 2021

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Fig. 1. Experimental results: The inner circle shape sample mimics the deoxygenated blood, where T 1 = 1.3 s and T 2 = 50 ms; the outside moon shape sample corresponds to the oxygenated blood, where T 1 = 1.3 s and T 2 = 200 ms.
Fig. 2. (Color online) Schematic time minimal synthesis to steer a single spin system from the north pole N to any point of the Bloch ball
Fig. 4. (Color online) Controls for λ = 0.5, 0.8, 0.9 (t f = 1.1 × min t f ). In each subgraph, the solution associated with the L 2 -homotopy (resp
Fig. 5. (Color online) Solutions for λ f < 1 (t f = 1.1 × min t f ). Trajectories and controls as in Fig
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