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.
Restricted diffusion
Initial slope
Narrow pulse approximation
restricted diffusion
simulations
trefftz method
NMR
method
Geometry
Laplace operator
Perturbation
porous systems
SGP-limit
Matrix formulation
field gradient
spin-echo nmr
gradient-pulse approximation
Poisson's equation
diffraction
relaxation
self-diffusion
Author
Matias Nordin
SuMo Biomaterials
Chalmers, Chemical and Biological Engineering, Applied Surface Chemistry
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 2 274-279Subject Categories (SSIF 2011)
Biochemistry and Molecular Biology
Physical Sciences
DOI
10.1016/j.jmr.2011.07.002