title: NMR-based diffusion pore imaging.
abstract: Nuclear magnetic resonance (NMR) diffusion experiments offer a unique opportunity to study boundaries restricting the diffusion process. In a recent Letter [Phys. Rev. Lett. 107, 048102 (2011)], we introduced the idea and concept that such diffusion experiments can be interpreted as NMR imaging experiments. Consequently, images of closed pores, in which the spins diffuse, can be acquired. In the work presented here, an in-depth description of the diffusion pore imaging technique is provided. Image artifacts due to gradient profiles of finite duration, field inhomogeneities, and surface relaxation are considered. Gradients of finite duration lead to image blurring and edge enhancement artifacts. Field inhomogeneities have benign effects on diffusion pore images, and surface relaxation can lead to a shrinkage and shift of the pore image. The relation between boundary structure and the imaginary part of the diffusion weighted signal is analyzed, and it is shown that information on pore coherence can be obtained without the need to measure the phase of the diffusion weighted signal. Moreover, it is shown that quite arbitrary gradient profiles can be used for diffusion pore imaging. The matrices required for numerical calculations are stated and provided as supplemental material.
authors.affiliation: Medical Physics in Radiology, German Cancer Research Center, DKFZ, Im Neuenheimer Feld 280, 69120 Heidelberg, Germany.
authors.forename: Frederik Bernd
authors.initials: FB
authors.lastname: Laun
authors.forename: Tristan Anselm
authors.initials: TA
authors.lastname: Kuder
authors.forename: Andreas
authors.initials: A
authors.lastname: Wetscherek
authors.forename: Bram
authors.initials: B
authors.lastname: Stieltjes
authors.forename: Wolfhard
authors.initials: W
authors.lastname: Semmler
mesh_terms: D016477:Artifacts; D004058:Diffusion; D005583:Fourier Analysis; D009682:Magnetic Resonance Spectroscopy / Q000379:methods*; D008962:Models, Theoretical; D016062:Porosity