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RESEARCH PRODUCT
Optimal control of the inversion of two spins in Nuclear Magnetic Resonance
Steffen J. GlaserDominique SugnyL. AttarY. ZhangM.-j. PenouilhM. PicquetElie AssématA. Tabardsubject
Larmor precessionPhysics010304 chemical physicsSpinsPulsed EPRGeneral Physics and AstronomyBROAD-BAND EXCITATIONOptimal control01 natural sciencesNMRMagnetic fieldPULSESFree induction decayNuclear magnetic resonance2-LEVEL QUANTUM-SYSTEMSBloch equationsOPTIMAL-CONTROL DESIGN0103 physical sciencesRadio frequencyPhysical and Theoretical Chemistry010306 general physicsPOPULATIONdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2012-09-01 |