Title | Feedback schemes for radiation damping suppression in NMR: a control-theoretical perspective |
Publication Type | Journal Article |
Year of Publication | 2010 |
Authors | Altafini, C, Cappellaro, P, Cory, D |
Journal | Systems and Control Letters, 59 (12):782-786, 2010 |
Abstract | 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 oputput 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. |
URL | http://hdl.handle.net/1963/4384 |
DOI | 10.1016/j.sysconle.2010.09.004 |