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Comparison of Two Simulation Methods in Electron Crystallography: BW Method and a Modified Direct Product Method of Scattering Matrix
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作者 Yi Yang Canying Cai Qibin Yang 《Journal of Materials Science & Technology》 SCIE EI CAS CSCD 2017年第2期210-214,共5页
In this paper, a modified direct product method of scattering matrix (DPSM) was presented and the cal- culation formulawas derived as follows: φ(z)=∑n1/n!(Mz)nφ(O)and φ(z+εj)=∑n1/n!(Mεj)nφ(z),... In this paper, a modified direct product method of scattering matrix (DPSM) was presented and the cal- culation formulawas derived as follows: φ(z)=∑n1/n!(Mz)nφ(O)and φ(z+εj)=∑n1/n!(Mεj)nφ(z),whereM is the scattering matrix of which the dimension can be reduced by 'Bethe potential method' drastically and therefore the calculation speed can be increased tremendously without losing accuracy very much. The results calculated with the DPSM method are in almost exact agreement with those calculated with BW method. However, the calculation speed for the modified DPSM method is approximately three times faster than that for the BW method. Furthermore, the DPSM is suitable for computing all types of ma- trices without requiring symmetry or conjugate symmetry. 展开更多
关键词 Electron crystallography Image simulation bethe potential method Matrix diagonalization
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