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Spin dephasing in a magnetic dipole field

C. H. Ziener1, T. Kampf2, G. Reents3, H.-P. Schlemmer1, and W. R. Bauer4

  • 1German Cancer Research Center (DKFZ), Im Neuenheimer Feld 280, 69120 Heidelberg, Germany
  • 2University of Würzburg, Department of Experimental Physics 5, Am Hubland, 97074 Würzburg, Germany
  • 3University of Würzburg, Department of Theoretical Physics 3, Am Hubland, 97074 Würzburg, Germany
  • 4University of Würzburg, Department of Internal Medicine 1, Oberdürrbacher Straße 6, 97080 Würzburg, Germany

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Phys. Rev. E 85, 051908 – Published 16 May, 2012

DOI: https://doi.org/10.1103/PhysRevE.85.051908

Abstract

Transverse relaxation by dephasing in an inhomogeneous field is a general mechanism in physics, for example, in semiconductor physics, muon spectroscopy, or nuclear magnetic resonance. In magnetic resonance imaging the transverse relaxation provides information on the properties of several biological tissues. Since the dipole field is the most important part of the multipole expansion of the local inhomogeneous field, dephasing in a dipole field is highly important in relaxation theory. However, there have been no analytical solutions which describe the dephasing in a magnetic dipole field. In this work we give a complete analytical solution for the dephasing in a magnetic dipole field which is valid over the whole dynamic range.

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Phys. Rev. E 85, 051908– Published 16 May, 2012
  • Received 14 June 2011

©2012 American Physical Society

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