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A mixed basis approach in the SGP-limit |
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| Authors: | Nordin Matias Nilsson-Jacobi Martin Nydén Magnus |
| Institution: | aApplied Surface Chemistry, Department of Chemical and Biological Engineering, Chalmers University of Technology, 41296 Gothenburg, Sweden;bComplex Systems Group, Department of Energy and Environment, Chalmers University of Technology, 41296 Gothenburg, Sweden |
| 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(s2) 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. |
| Keywords: | NMR SGP-limit Narrow pulse approximation Restricted diffusion Initial slope Matrix formulation Laplace operator Perturbation method Geometry Poisson&rsquo s equation |
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