Exchange-induced relaxation in the presence of a fictitious field

Dennis J. Sorce, Silvia Mangia, Timo Liimatainen, Michael Garwood, Shalom Michaeli

Research output: Contribution to journalArticle

1 Scopus citations


In the present study we derive a solution for two site fast exchange-induced relaxation in the presence of a fictitious magnetic field as generated by amplitude and frequency modulated RF pulses. This solution provides a means to analyze data obtained from relaxation experiments with the method called RAFFn (Relaxation Along a Fictitious Field of rank n), in which a fictitious field is created in a coordinate frame undergoing multi-fold rotation about n axes (rank n). The RAFF2 technique is relevant to MRI relaxation methods that provide good contrast enhancement for tumor detection. The relaxation equations for n = 2 are derived for the fast exchange regime using density matrix formalism. The method of derivation can be further extended to obtain solutions for n > 2.

Original languageEnglish (US)
Pages (from-to)12-16
Number of pages5
JournalJournal of Magnetic Resonance
StatePublished - Aug 2014


  • Exchange
  • Fictitious fields
  • High rotating frames
  • Relaxations

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