title: Determination of the defining boundary in nuclear magnetic resonance diffusion experiments.
abstract: While nuclear magnetic resonance diffusion experiments are widely used to resolve structures confining the diffusion process, it has been elusive whether they can exactly reveal these structures. This question is closely related to x-ray scattering and to Kac's "hear the drum" problem. Although the shape of the drum is not "hearable," we show that the confining boundary of closed pores can indeed be detected using modified Stejskal-Tanner magnetic field gradients that preserve the phase information and enable imaging of the average pore in a porous medium with a largely increased signal-to-noise ratio.
authors.affiliation: Medical Physics in Radiology, German Cancer Research Center, 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: Wolfhard
authors.initials: W
authors.lastname: Semmler
authors.forename: Bram
authors.initials: B
authors.lastname: Stieltjes
mesh_terms: D004058:Diffusion; D005583:Fourier Analysis; D009682:Magnetic Resonance Spectroscopy / Q000379:methods*