A mixed basis approach in the SGP-limit

Matias Nordin*, Martin Nilsson-Jacobi, Magnus Nydén

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

A perturbation method for computing quick estimates of the echo decay in pulsed spin echo gradient NMR diffusion experiments in the short gradient pulse limit is presented. The perturbation basis involves (relatively few) dipole distributions on the boundaries generating a small perturbation matrix in O(s 2) time, where s denotes the number of boundary elements. Several approximate eigenvalues and eigenfunctions to the diffusion operator are retrieved. The method is applied to 1D and 2D systems with Neumann boundary conditions.

Original languageEnglish
Pages (from-to)274-279
Number of pages6
JournalJournal of Magnetic Resonance
Volume212
Issue number2
DOIs
Publication statusPublished - Oct 2011
Externally publishedYes

Keywords

  • NMR
  • SGP-limit
  • Narrow pulse approximation
  • Restricted diffusion
  • Initial slope
  • Matrix formulation
  • Laplace operator
  • Perturbation method
  • Geometry
  • Poisson’s equation

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