We have been active in investigating the link between measured diffusion-encoded signal and diffusion restrictions. These works include:
[1] Laun FB, Kuder TA, Semmler W, Stieltjes B.
Determination of the defining boundary in nuclear magnetic resonance diffusion experiments.
Phys Rev Lett. 2011 Jul 22;107(4):048102.
[2] Laun FB, Kuder TA, Wetscherek A, Stieltjes B, Semmler W.
NMR-based diffusion pore imaging.
Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Aug;86(2 Pt 1):021906.
[3] Kuder TA, Laun FB.
NMR-based diffusion pore imaging by double wave vector measurements.
Magn Reson Med. 2013 Sep;70(3):836-41.
[4] Laun FB, Kuder TA.
Diffusion pore imaging with generalized temporal gradient profiles.
Magn Reson Imaging. 2013 Sep;31(7):1236-44.
[5] Kuder TA, Laun FB.
Effects of pore-size and shape distributions on diffusion pore imaging by nuclear magnetic resonance.
Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Aug;92(2):022706.
[6] Laun FB, Müller L, Kuder TA.
NMR-based diffusion lattice imaging.
Physical Review E, 2016. 93(3).
[7] Laun FB, Kuder TA, Zong F, Hertel S, Galvosas P.
Symmetry of the gradient profile as second experimental dimension in the short-time expansion of the apparent diffusion coefficient as measured with NMR diffusometry.
J Magn Reson. 2015 Oct;259:10-9.
[8] Laun FB, Demberg K, Nagel AM, Uder M, Kuder TA.
On the Vanishing of the t-term in the Short-Time Expansion of the Diffusion Coefficient for Oscillating Gradients in Diffusion NMR.
Frontiers in Physics, 2017. 5.
[9] Laun FB.
Restricted diffusion in NMR in arbitrary inhomogeneous magnetic fields and an application to circular layers.
J Chem Phys. 2012 Jul 28;137(4):044704.
[10] Kuder TA, Bachert P, Windschuh J, Laun FB.
Diffusion pore imaging by hyperpolarized xenon-129 nuclear magnetic resonance.
Phys Rev Lett. 2013 Jul 12;111(2):028101.
[11] Demberg K, Laun FB, Windschuh J, Umathum R, Bachert P, Kuder TA.
Nuclear magnetic resonance diffusion pore imaging: Experimental phase detection by double diffusion encoding.
Phys Rev E. 2017 Feb;95(2-1):022404.
[12] Demberg K, Laun FB, Bertleff M, Bachert P, Kuder TA.
Experimental determination of pore shapes using phase retrieval from q-space NMR diffraction.
Phys Rev E. 2018 May;97(5-1):052412.