A mixed basis approach in the SGP-limit

Details A mixed basis approach in the SGP-limit A mixed basis approach in the SGP-limit

2011-04-12

arxiv.org/abs/1104.2310v1

Physics

Computational Physics

preprint submitted to JMR

Scientific paper

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 1-D and 2-D systems with Neumann boundary conditions.

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