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Fast Radial NMR Imaging of Transport Processes

Published online by Cambridge University Press:  21 February 2011

Paul D. Majors
Affiliation:
UNM/NSF Center for Micro-Engineered Ceramics, University of New Mexico, Albuquerque, NM 87131 Lovelace Medical Foundation, Research Division, 2425 Ridgecrest Dr. SE, Albuquerque, NM 87108
Douglas M. Smith
Affiliation:
UNM/NSF Center for Micro-Engineered Ceramics, University of New Mexico, Albuquerque, NM 87131
Arvind Caprihan
Affiliation:
Lovelace Medical Foundation, Research Division, 2425 Ridgecrest Dr. SE, Albuquerque, NM 87108
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Abstract

Fast NMR imaging techniques for the study of objects with circular or spherical symmetry are introduced. Quantitative, radially-resolved information for an object with circular symmetry is obtained by Abel inversion of a single one-dimensional (1D) NMR image or equivalently by Hankel transformation of the 1D time domain NMR signal. With adequate sensitivity, the entire image information is obtained in a single experimental iteration, providing snapshot temporal resolution. Thus these techniques are useful for the study of transport phenomena. Spherical objects can also be radially resolved from a 1D projection image by applying two sequential Abel inversions, or in one simple differentiation step. These radial imaging techniques are easy to implement and the computational and data storage requirements are nominal. These procedures are also applicable to microscopic and solids NMR imaging, as well as to X-ray CAT and other projective imaging techniques. Noise effects, and the detection and handling of distortions from circular symmetry are also considered.

Type
Research Article
Copyright
Copyright © Materials Research Society 1991

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References

REFERENCES

1. Ellingson, W.A., Wong, P.S., Dieckman, S.L., Ackerman, J.L., and Garrido, L., Ceram. Bull. 68, 1180 (1989).Google Scholar
2. Listerud, J.M., Sinton, S.W., and Drobny, G.P., Anal. Chem. 61, 23A (1989).Google Scholar
3. Gaigalas, A.K., VanOrden, A.C., Robertson, B., Mareci, T.H., and Lewis, L.A., Nucl. Techn. 84, 113 (1989).Google Scholar
4. Haase, A., Frahm, J., Matthaei, D., Hanicke, W., and Merboldt, K.D., J. Magn. Reson. 67, 258 (1986).Google Scholar
5. Mansfield, P., J. Phys. C: Solid State Phys. 10, L55 (1977).CrossRefGoogle Scholar
6. Gummerson, R.J., Hall, C., Hoff, W.D., Hawkes, R., Holland, G.N., and Moore, W.S., Nature, 281, 56 (1979).CrossRefGoogle Scholar
7. Guillot, G., Trokiner, A., Darrasse, L., and Saint-Jaimes, H., J. Phys. D: Appl. Phys. 22, 1646 (1989).CrossRefGoogle Scholar
8. Blackband, S., and Mansfield, P., J. Phys. C. 19, L49 (1986).Google Scholar
9. Scherer, G.W., J. Am. Ceram. Soc. 73, 3 (1990).CrossRefGoogle Scholar
10. Majors, P.D., and Caprihan, A., Fast radial imaging of circular and spherical objects by NMR, submitted to J. Magn.Reson. July 1990.Google Scholar
11. Bracewell, R.N., The Fourier Transform and Its Applications, 2nd ed. revised, (McGraw-Hill, New York, 1986) pp. 262266.Google Scholar
12. Kumar, A., Welti, D., and Ernst, R.R., J. Magn. Reson. 18, 69 (1975).Google Scholar
13. Neeman, M., Majors, P.D., and Sillerud, L.O., (unpublished).Google Scholar
14. Majors, P.D., and Smith, D.M., (unpublished).Google Scholar
15. Munn, K., and Smith, D.M., J. Colloid Interface Sci.. 119, 117 (1987).Google Scholar
16. Smith, L.M., IEEE Trans. Inform. Theory 34, 158 (1988).Google Scholar
17. Majors, P.D., Davis, P.J., and Smith, D.M., submitted to Chemical Engineering Science, August 1990.Google Scholar