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 1-D and 2-D systems with Neumann boundary conditions.

preprint submitted to JMR

References in corpus (2)

• The Narrow Pulse Approximation and long length scale determination in xenon gas diffusion NMR studies of model porous media
• A Mixed Basis Perturbation Approach to Approximate the Spectrum of Laplace Operator

Cited by in corpus (1)

• A perturbation basis for calculating NMR Diffusometry