Title
A fast reciprocal space method for image simulation A fast reciprocal space method for image simulation
Author
Faculty/Department
Faculty of Sciences. Physics
Publication type
article
Publication
Amsterdam ,
Subject
Physics
Source (journal)
Ultramicroscopy. - Amsterdam
Volume/pages
108(2008) :12 , p. 1514-1519
ISSN
0304-3991
ISI
000260808300003
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
In this paper, we introduce a fast reciprocal space method for image simulation. It is well known that the scattering matrix (SM) P with N×N elements consists of N different structure factors and N different excitation errors. However, most structure factors of the SM P are extremely small so that they can be neglected. Therefore, the size of the SM P is reduced drastically. On the other hand, the structure factors have two-dimensional space group symmetries, so that by reducing the symmetry related structure factors to symmetrically independent structure factors, the size of the SM P can be reduced further. The calculation speed based on the simplified SM P will be several hundred times faster than that by other conventional methods. In this paper, we describe the method for how to reduce the SM P in detail and give an example of implementation.
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