Calculations of HREM image intensity using Monte Carlo integration

L. Y. Chang; R. R. Meyer; A. I. Kirkland

doi:10.1016/j.ultramic.2005.05.003

Calculations of HREM image intensity using Monte Carlo integration

L. Y. Chang, R. R. Meyer, A. I. Kirkland

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

We have developed a numerical approach for the accurate and efficient calculation of HREM image intensity formed using a partially coherent source. The approach is based on Monte Carlo integration, and is suitable for use in general image restoration methods using a series of images. The accuracy of this approach is compared with calculations based on the transmission cross coefficient (TCC) for strong scattering objects, as a function of the number of sampling points, defocus, atomic number and specimen thickness. Its efficiency is compared with that of exact TCC calculations based on equally-spaced sampling of the beam divergence and focal spread distributions. The results indicate that the Monte Carlo approach is particularly advantageous for nonlinear image restoration algorithms.

Original language	English (US)
Pages (from-to)	271-280
Number of pages	10
Journal	Ultramicroscopy
Volume	104
Issue number	3-4
DOIs	https://doi.org/10.1016/j.ultramic.2005.05.003
State	Published - Oct 2005
Externally published	Yes

Keywords

Exit wave reconstruction
High resolution transmission electron microscopy (HRTEM)
Image simulation

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Atomic and Molecular Physics, and Optics
Instrumentation

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10.1016/j.ultramic.2005.05.003

Cite this

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title = "Calculations of HREM image intensity using Monte Carlo integration",

abstract = "We have developed a numerical approach for the accurate and efficient calculation of HREM image intensity formed using a partially coherent source. The approach is based on Monte Carlo integration, and is suitable for use in general image restoration methods using a series of images. The accuracy of this approach is compared with calculations based on the transmission cross coefficient (TCC) for strong scattering objects, as a function of the number of sampling points, defocus, atomic number and specimen thickness. Its efficiency is compared with that of exact TCC calculations based on equally-spaced sampling of the beam divergence and focal spread distributions. The results indicate that the Monte Carlo approach is particularly advantageous for nonlinear image restoration algorithms.",

keywords = "Exit wave reconstruction, High resolution transmission electron microscopy (HRTEM), Image simulation",

author = "Chang, {L. Y.} and Meyer, {R. R.} and Kirkland, {A. I.}",

note = "Funding Information: The author L.Y. Chang would like to thank C. Dwyer for lots of useful discussions and proof reading of this work. Funding by Cambridge Commonwealth Trust, and Overseas Research Students Award and EPSRC is gratefully acknowledged. Copyright: Copyright 2008 Elsevier B.V., All rights reserved.",

year = "2005",

month = oct,

doi = "10.1016/j.ultramic.2005.05.003",

language = "English (US)",

volume = "104",

pages = "271--280",

journal = "Ultramicroscopy",

issn = "0304-3991",

publisher = "Elsevier",

number = "3-4",

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T1 - Calculations of HREM image intensity using Monte Carlo integration

AU - Chang, L. Y.

AU - Meyer, R. R.

AU - Kirkland, A. I.

N1 - Funding Information: The author L.Y. Chang would like to thank C. Dwyer for lots of useful discussions and proof reading of this work. Funding by Cambridge Commonwealth Trust, and Overseas Research Students Award and EPSRC is gratefully acknowledged. Copyright: Copyright 2008 Elsevier B.V., All rights reserved.

PY - 2005/10

Y1 - 2005/10

N2 - We have developed a numerical approach for the accurate and efficient calculation of HREM image intensity formed using a partially coherent source. The approach is based on Monte Carlo integration, and is suitable for use in general image restoration methods using a series of images. The accuracy of this approach is compared with calculations based on the transmission cross coefficient (TCC) for strong scattering objects, as a function of the number of sampling points, defocus, atomic number and specimen thickness. Its efficiency is compared with that of exact TCC calculations based on equally-spaced sampling of the beam divergence and focal spread distributions. The results indicate that the Monte Carlo approach is particularly advantageous for nonlinear image restoration algorithms.

AB - We have developed a numerical approach for the accurate and efficient calculation of HREM image intensity formed using a partially coherent source. The approach is based on Monte Carlo integration, and is suitable for use in general image restoration methods using a series of images. The accuracy of this approach is compared with calculations based on the transmission cross coefficient (TCC) for strong scattering objects, as a function of the number of sampling points, defocus, atomic number and specimen thickness. Its efficiency is compared with that of exact TCC calculations based on equally-spaced sampling of the beam divergence and focal spread distributions. The results indicate that the Monte Carlo approach is particularly advantageous for nonlinear image restoration algorithms.

KW - Exit wave reconstruction

KW - High resolution transmission electron microscopy (HRTEM)

KW - Image simulation

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SN - 0304-3991

VL - 104

SP - 271

EP - 280

JO - Ultramicroscopy

JF - Ultramicroscopy

IS - 3-4

ER -

Calculations of HREM image intensity using Monte Carlo integration

Abstract

Keywords

ASJC Scopus subject areas

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