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

T. Matsushita1, A. Agui2 and A. Yoshigoe2

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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 Si bulk structure is demonstrated by using an experimental Si(111) 2s single-energy hologram. The holographic reconstruction provided a three-dimensional image with a size of 10 Å along both the vertical and horizontal axes.


PACS

79.60.-i Photoemission and photoelectron spectra

42.40.-i Holography

61.05.J- Electron diffraction and scattering

Subjects

Condensed matter: electrical, magnetic and optical

Optics, quantum optics and lasers

Dates

Issue 2 (January 2004)

Received 2 July 2003, accepted for publication 13 November 2003, in final form 13 November 2003



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