Tomographic reconstruction of multiple in-line holograms for multiple scattering in low energy electron holography

2001 ◽  
Vol 79 (1) ◽  
pp. 37-48 ◽  
Author(s):  
M R.A. Shegelski ◽  
M B Whitwick ◽  
R Holenstein ◽  
T A Rothwell

We generate simulated holograms for low energy electron point source (LEEPS) microscopy. For a given object (atomic cluster) we construct a number of different holograms by varying the position or the orientation of the object relative to the screen. We then compare the three-dimensional structures of the reconstructions obtained from these holograms using methods developed and reported in previous works. In this investigation, we focus on clusters for which multiple scattering must be taken into account. We report results for bcc-type clusters, a spiral configuration, and some random arrangements. We find that the methods employed give vastly improved reconstructions even when multiple scattering is important. PACS No.: 61.14Nm

2000 ◽  
Vol 84 (3-4) ◽  
pp. 159-170 ◽  
Author(s):  
Mark R.A Shegelski ◽  
Matthew Reid ◽  
Lara Pow

2001 ◽  
Vol 79 (1) ◽  
pp. 29-36 ◽  
Author(s):  
T A Rothwell ◽  
M R.A. Shegelski

We generate and combine simulated holograms for low energy electron point source (LEEPS) microscopy. Using a relatively small screen size, we build a ``composite hologram'' from four different holograms, each obtained using the small screen. We show that reconstructions of high quality can be extracted from the composite hologram by implementing methods we developed in previous investigations. These high-quality reconstructions are obtained using a screen size that is one quarter the size of screens we have used previously. The implications of our results for experimental investigations is discussed. PACS No.: 61.14Nm


2001 ◽  
Vol 79 (1) ◽  
pp. 17-28 ◽  
Author(s):  
M MR Shegelski ◽  
M B Whitwick ◽  
R Holenstein

The theory of the low energy electron point source (LEEPS) microscope is presented in matrix form to account for multiple scattering. An iterative method is used to solve the matrix equation for the structure factor. An algorithm is developed for the storage and use of only the dominant elements of the structure matrix; this allows for the study of considerably large clusters. Examples of large clusters of atoms are studied to compare single scattering (SS) and multiple scattering (MS). A Kirchhoff-Helmholtz transform is used for the reconstruction. We report results where SS and MS give essentially the same reconstructions, and other results where SS and MS reconstructions are in severe disagreement. We find, for example, that SS and MS give virtually the same reconstruction along the optical axis for clusters that are "short" lateral to, but "long" in the direction of, the optical axis. In contrast, we also find that SS and MS give vastly different reconstructions lateral to the optical axis for clusters that are "wide" lateral to, and "thin" in the direction of, the optical axis. Some other results are also reported. Implications for further theoretical work, and for experimental LEEPS microscopy, are discussed. PACS No.: 61.14Nm


2006 ◽  
Vol 15 (7) ◽  
pp. 1558-1562 ◽  
Author(s):  
Yu Jie ◽  
Bai Xin ◽  
Zhang Zhao-Xiang ◽  
Zhang Geng-Min ◽  
Guo Deng-Zhu ◽  
...  

Nano Letters ◽  
2016 ◽  
Vol 16 (9) ◽  
pp. 5469-5474 ◽  
Author(s):  
Tatiana Latychevskaia ◽  
Flavio Wicki ◽  
Jean-Nicolas Longchamp ◽  
Conrad Escher ◽  
Hans-Werner Fink

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