Author: M.-j. Penouilh

0000000001308628

AUTHOR

M.-j. Penouilh

Optimal control of the inversion of two spins in Nuclear Magnetic Resonance

International audience; We investigate the optimal control of the inversion of two spin 1/2 particles in Nuclear Magnetic Resonance. The two spins, which differ by their resonance offset, are controlled by the same radio frequency magnetic field. Using the Pontryagin Maximum Principle, we compute the optimal control sequence which allows to reach the target state in a given time, while minimizing the energy of the magnetic field. A comparison with the time-optimal solution for bounded control amplitude realizing the same control in the same time is made. An experimental illustration is done using techniques of Nuclear Magnetic Resonance.

research product

CCDC 902372: Experimental Crystal Structure Determination

Related Article: P.Desogere,C.Bernhard,C.Goze,M.-J.Penouilh,Y.Rousselin,F.Denat|2013|Eur.J.Org.Chem.|2013|1538|doi:10.1002/ejoc.201201337

research product

CCDC 902371: Experimental Crystal Structure Determination

Related Article: P.Desogere,C.Bernhard,C.Goze,M.-J.Penouilh,Y.Rousselin,F.Denat|2013|Eur.J.Org.Chem.|2013|1538|doi:10.1002/ejoc.201201337

research product

CCDC 902370: Experimental Crystal Structure Determination

Related Article: P.Desogere,C.Bernhard,C.Goze,M.-J.Penouilh,Y.Rousselin,F.Denat|2013|Eur.J.Org.Chem.|2013|1538|doi:10.1002/ejoc.201201337

research product

PEPhysical Sciences and Engineering
- PE2Fundamental Constituents of Matter
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LSLife Sciences
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