Electron holography: A maximum entropy reconstruction scheme

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: 14 February 2005
Accepted: 23 June 2005

Abstract

We propose a new algorithm based on the scattering pattern matrix and the maximum entropy method to achieve a very precise investigation of the three-dimensional atomic nucleus positions in material by the electron holography technique. The forward scattering problems, i.e. strong intensity of forward focusing peak, and frequency shift in the forward scattering region, are solved in this algorithm, since the forward scattering effects are almost perfectly taken into account. We applied the algorithm to an experimental single-energy hologram of photoemission with kinetic energy E_k=1110.3 from a single-crystal surface and succeeded in reconstructing the atomic nucleus positions of the bulk structure. The reconstructed space size is about 800 picometers, and as many as 21 atoms are recognized. The accuracy of the position for most atoms is within 50 picometers.