**D. K. Saldin, X. Chen, J. A. Vamvakas
Department of Physics and Laboratory for Surface Studies
University of Wisconsin-Milwaukee
P. O. Box 413, Milwaukee, Wisconsin 53201, U. S. A.
M. Ott, H. Wedler, K. Reuter, and K. Heinz
Lehrstuhl für Festkörperphysik
University of Erlangen-Nürnberg
Staudtstr. 7, D-91054 Erlangen, Germany
P. L. De Andrés
Instituto de Ciencia de Materiales
Universidad Autonoma de Madrid
E-28049 Madrid, Spain**

We review the basic ideas of holographic LEED, and the latest progress in the field. We compare several proposed computer reconstruction schemes. Using experimental diffuse LEED data from O/Ni(001) and K/Ni(001) surfaces, we show that the capability now exists for filtering out the effects on the diffraction patterns of possible long-range order amongst the adsorbates, thus making holographic LEED much more analogous to photoelectron holography. Inclusion of a scattered-wave kernel to compensate for the variation of the magnitude of the reference-wave at the positions of potential object-wave sources enables the reconstruction of a fully three-dimensional image of substrate atoms in the immediate vicinity of atomic adsorbates from a set of just normal-incidence diffuse LEED patterns.

PACS numbers: 42.40.-i, 61.14.Dc, 68.35.-p

- Introduction
- Theory of Diffuse LEED
- Holographic Interpretation of DLEED Patterns
- Prior Reconstruction Algorithms for DLEED
- Compensated Object- and Reference-wave Reconstruction by an Energy-dependent Cartesian Transform
- Application to Measured DLEED Patterns
- Conclusions
- Acknowledgements
- References
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