4. Applications

4.1 Robust control of magnetic field inhomogeneities

So far, we have assumed that the static field $\vec{B} _{0}$ is constant over the entire sample volume. In reality, however, the field is inhomogeneous. Neglecting the inhomogeneity of the field along the longitudinal axis, we have to consider that the field $\vec{B} _{0}$ depends on the transverse positions and we note it B _...

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page Optimum control via the Pontryagin Maximum Principle (PMP)

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Bibliography

(1) - ERNST (R.R.) - Principles of Nuclear Magnetic Resonance in one and two dimensions. - International series of monographs on chemistry, Oxford University Press, Oxford (1990).
(2) - LEVITT (M.H.) - Spin dynamics : basics of Nuclear Magnetic Resonance....