Feedback schemes for radiation damping suppression in NMR: a control-theoretical perspective
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In NMR spectroscopy, the collective measurement is weakly invasive and its back-action is called radiation damping. The aim of this paper is to provide a control-theoretical analysis of the problem of suppressing this radiation damping. It is shown that the two feedback schemes commonly used in the NMR practice correspond one to a high gain output feedback for the simple case of maintaining the spin 1/2 in its inverted state, and the second to a 2-degree of freedom control design with a prefeedback that exactly cancels the radiation damping field. A general high gain feedback stabilization design not requiring the knowledge of the radiation damping time constant is also investigated.
Date issued
2010-01Department
Massachusetts Institute of Technology. Department of Nuclear Science and EngineeringJournal
Proceedings of the 48th IEEE Conference on Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009.
Publisher
Institute of Electrical and Electronics Engineers
Citation
Altafini, C., P. Cappellaro, and D. Cory. “Feedback schemes for radiation damping suppression in NMR: a control-theoretical perspective.” Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on. 2009. 1445-1450. © 2009 IEEE
Version: Final published version
Other identifiers
INSPEC Accession Number: 11148284
ISBN
978-1-4244-3871-6
ISSN
0191-2216