Experimental determination of pore shapes using phase retrieval from q-space NMR diffraction

Journal article


Publication Details

Author(s): Demberg K, Laun FB, Bertleff M, Bachert P, Kuder TA
Journal: Physical Review E
Publication year: 2018
Volume: 97
Journal issue: 5-1
ISSN: 2470-0045


Abstract

This paper presents an approach to solving the phase problem in nuclear magnetic resonance (NMR) diffusion pore imaging, a method that allows imaging the shape of arbitrary closed pores filled with an NMR-detectable medium for investigation of the microstructure of biological tissue and porous materials. Classical q-space imaging composed of two short diffusion-encoding gradient pulses yields, analogously to diffraction experiments, the modulus squared of the Fourier transform of the pore image which entails an inversion problem: An unambiguous reconstruction of the pore image requires both magnitude and phase. Here the phase information is recovered from the Fourier modulus by applying a phase retrieval algorithm. This allows omitting experimentally challenging phase measurements using specialized temporal gradient profiles. A combination of the hybrid input-output algorithm and the error reduction algorithm was used with dynamically adapting support (shrinkwrap extension). No a priori knowledge on the pore shape was fed to the algorithm except for a finite pore extent. The phase retrieval approach proved successful for simulated data with and without noise and was validated in phantom experiments with well-defined pores using hyperpolarized xenon gas.


External institutions with authors

Deutsches Krebsforschungszentrum (DKFZ)
Ruprecht-Karls-Universität Heidelberg


How to cite

APA:
Demberg, K., Laun, F.B., Bertleff, M., Bachert, P., & Kuder, T.A. (2018). Experimental determination of pore shapes using phase retrieval from q-space NMR diffraction. Physical Review E, 97(5-1). https://dx.doi.org/10.1103/PhysRevE.97.052412

MLA:
Demberg, Kerstin, et al. "Experimental determination of pore shapes using phase retrieval from q-space NMR diffraction." Physical Review E 97.5-1 (2018).

BibTeX: 

Last updated on 2019-06-03 at 09:58