A mixed basis approach in the SGP-limit
Journal article, 2011

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.

method

Restricted diffusion

Laplace operator

field gradient

gradient-pulse approximation

SGP-limit

NMR

trefftz method

Matrix formulation

spin-echo nmr

self-diffusion

Narrow pulse approximation

Poisson's equation

Initial slope

restricted diffusion

diffraction

relaxation

simulations

Perturbation

porous systems

Geometry

Author

Matias Nordin

Chalmers, Chemical and Biological Engineering, Applied Surface Chemistry

SuMo Biomaterials

Martin Nilsson Jacobi

Chalmers, Energy and Environment, Physical Resource Theory

Magnus Nydén

SuMo Biomaterials

Chalmers, Chemical and Biological Engineering, Applied Surface Chemistry

Journal of Magnetic Resonance

1090-7807 (ISSN)

Vol. 212 2 274-279

Subject Categories

Biochemistry and Molecular Biology

Physical Sciences

DOI

10.1016/j.jmr.2011.07.002

More information

Latest update

8/18/2020