A mixed basis approach in the SGP-limit

Matias Nordin; Martin Nilsson-Jacobi; Magnus Nydén

doi:10.1016/j.jmr.2011.07.002

A mixed basis approach in the SGP-limit

Matias Nordin^*, Martin Nilsson-Jacobi, Magnus Nydén

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

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.

Original language	English
Pages (from-to)	274-279
Number of pages	6
Journal	Journal of Magnetic Resonance
Volume	212
Issue number	2
DOIs	https://doi.org/10.1016/j.jmr.2011.07.002
Publication status	Published - Oct 2011
Externally published	Yes

Keywords

NMR
SGP-limit
Narrow pulse approximation
Restricted diffusion
Initial slope
Matrix formulation
Laplace operator
Perturbation method
Geometry
Poisson’s equation

Access to Document

10.1016/j.jmr.2011.07.002

Cite this

@article{31598182a60e438bb20da871a98eb817,

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.",

keywords = "NMR, SGP-limit, Narrow pulse approximation, Restricted diffusion, Initial slope, Matrix formulation, Laplace operator, Perturbation method, Geometry, Poisson{\textquoteright}s equation",

author = "Matias Nordin and Martin Nilsson-Jacobi and Magnus Nyd{\'e}n",

year = "2011",

month = oct,

doi = "10.1016/j.jmr.2011.07.002",

language = "English",

volume = "212",

pages = "274--279",

journal = "Journal of Magnetic Resonance",

issn = "1090-7807",

publisher = "Academic Press Inc.",

number = "2",

}

TY - JOUR

T1 - A mixed basis approach in the SGP-limit

AU - Nordin, Matias

AU - Nilsson-Jacobi, Martin

AU - Nydén, Magnus

PY - 2011/10

Y1 - 2011/10

N2 - 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.

AB - 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.

KW - NMR

KW - SGP-limit

KW - Narrow pulse approximation

KW - Restricted diffusion

KW - Initial slope

KW - Matrix formulation

KW - Laplace operator

KW - Perturbation method

KW - Geometry

KW - Poisson’s equation

UR - http://www.scopus.com/inward/record.url?scp=80053269511&partnerID=8YFLogxK

U2 - 10.1016/j.jmr.2011.07.002

DO - 10.1016/j.jmr.2011.07.002

M3 - Article

C2 - 21802326

AN - SCOPUS:80053269511

VL - 212

SP - 274

EP - 279

JO - Journal of Magnetic Resonance

JF - Journal of Magnetic Resonance

SN - 1090-7807

IS - 2

ER -

A mixed basis approach in the SGP-limit

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this