Chinese Journal of Magnetic Resonance

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THEORETICAL EXPRESSION AND MONTE CARLO SIMULATION OF DIFFUSION BEHAVIORS IN NMR WITH NONLINEAR FIELD GRADIENTS

CAI Cong-bo,  CAI Shu-hui,  CHEN Zhong*   

  1. Department of Physics, State Key Laboratory for Physical Chemistry of the Solid Surface, Xiamen University, Xiamen 361005, China
  • Received:2003-01-13 Revised:2003-04-21 Published:2003-09-05 Online:2003-09-05
  • About author:Congbo Cai, male, born in Quangzhou, Fujian in (1975-), Ph.D.student, specializing in condensed physics. *Correspondence author: Chen Zhong, Tel: +86-592-2189426. Fax:+86-592-2189426. E-mail: chenz@jingxian.xmu.edu.cn
  • Supported by:

    Project Supported by the National Natural Science Foundation of China(10005006,10104011 and 10234070).

Abstract:

A propagator method was used to calculate diffusion attenuation of the NMR signal under general nonlinear field gradients. Theoretical expressions of
the attenuation factor were obtained for free and restricted diffusion between two plates. Monte Carlo simulation was performed and the results were compared with the theory. It shows that the theoretical method is appropriate for the free diffusion, as well as the restricted diffusion under the short gradient pulse approximation. Monte Carlo simulation provides an alternate way to quantify the effects of inhomogeneous field gradients used in MRI and NMR.

Key words: NMR, Nonlinear gradient, Diffusion, Simulation, Theoretical expression

CLC Number: