Europhys. Lett.
Volume 65, Number 2, January 2004
Page(s) 207 - 213
Section Condensed matter: structure, mechanical and thermal properties
Published online 01 January 2004
Europhys. Lett., 65 (2) , pp. 207-213 (2004)
DOI: 10.1209/epl/i2003-10074-6

A new approach for three-dimensional atomic-image reconstruction from a single-energy photoelectron hologram

T. Matsushita1, A. Agui2 and A. Yoshigoe2

1  Japan Synchrotron Radiation Research Institute (JASRI), SPring-8 1-1-1 Kouto, Mikazuki-cho, Sayo-gun Hyogo 679-5198, Japan
2  Synchrotron Radiation Research Center, Japan Atomic Energy Research Institute (JAERI) - 1-1-1 Kouto, Mikazuki-cho, Sayo-gun, Hyogo 679-5148, Japan

(Received 2 July 2003; accepted in final form 13 November 2003)

A "scattering pattern matrix" method is proposed here to overcome the difficulties presented by photoelectron holography, such as forward-scattering and multi-energy problems. This method makes it possible to reconstruct a three-dimensional atomic arrangement from a single-energy hologram. We have utilized the "scattering pattern matrix" that includes the angular variation of the scattered object waves, and we have adopted a special average process and the gradient projection method for minimizing the mean-squared error. The reconstruction of the $\chem{Si}$ bulk structure is demonstrated by using an experimental $\chem{Si(111)}$ 2s single-energy hologram. The holographic reconstruction provided a three-dimensional image with a size of 10 $\un{\AA}$ along both the vertical and horizontal axes.

61.14.-x - Electron diffraction and scattering.
42.40.-i - Holography.
79.60.-i - Photoemission and photoelectron spectra.

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