title: A mixed basis approach in the SGP-limit.
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(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.
authors.affiliation: Applied Surface Chemistry, Department of Chemical and Biological Engineering, Chalmers University of Technology, 41296 Gothenburg, Sweden. matias@chalmers.se
authors.forename: Matias
authors.initials: M
authors.lastname: Nordin
authors.forename: Martin
authors.initials: M
authors.lastname: Nilsson-Jacobi
authors.forename: Magnus
authors.initials: M
authors.lastname: Nydén
mesh_terms: D000465:Algorithms; D004058:Diffusion; D005583:Fourier Analysis; D009682:Magnetic Resonance Spectroscopy / Q000379:methods*; D016012:Poisson Distribution