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) 10960856 (eISSN)
Vol. 212 2 274-279Subject Categories
Biochemistry and Molecular Biology
Physical Sciences
DOI
10.1016/j.jmr.2011.07.002