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Source of statistical noises in the Monte Carlo sampling techniques for coherently scattered photons

Detailed comparisons of the predictions of the Relativistic Form Factors (RFFs) and Modified Form Factors (MFFs) and their advantages and shortcomings in calculating elastic scattering cross sections can be found in the literature. However, the issues related to their implementation in the Monte Car...

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Autores principales: Muhammad, Wazir, Lee, Sang Hoon
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Oxford University Press 2013
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3534271/
https://www.ncbi.nlm.nih.gov/pubmed/22984278
http://dx.doi.org/10.1093/jrr/rrs069
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author Muhammad, Wazir
Lee, Sang Hoon
author_facet Muhammad, Wazir
Lee, Sang Hoon
author_sort Muhammad, Wazir
collection PubMed
description Detailed comparisons of the predictions of the Relativistic Form Factors (RFFs) and Modified Form Factors (MFFs) and their advantages and shortcomings in calculating elastic scattering cross sections can be found in the literature. However, the issues related to their implementation in the Monte Carlo (MC) sampling for coherently scattered photons is still under discussion. Secondly, the linear interpolation technique (LIT) is a popular method to draw the integrated values of squared RFFs/MFFs (i.e. [Image: see text]) over squared momentum transfer ([Image: see text]). In the current study, the role/issues of RFFs/MFFs and LIT in the MC sampling for the coherent scattering were analyzed. The results showed that the relative probability density curves sampled on the basis of MFFs are unable to reveal any extra scientific information as both the RFFs and MFFs produced the same MC sampled curves. Furthermore, no relationship was established between the multiple small peaks and irregular step shapes (i.e. statistical noise) in the PDFs and either RFFs or MFFs. In fact, the noise in the PDFs appeared due to the use of LIT. The density of the noise depends upon the interval length between two consecutive points in the input data table of [Image: see text] and has no scientific background. The probability density function curves became smoother as the interval lengths were decreased. In conclusion, these statistical noises can be efficiently removed by introducing more data points in the [Image: see text] data tables.
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spelling pubmed-35342712013-01-03 Source of statistical noises in the Monte Carlo sampling techniques for coherently scattered photons Muhammad, Wazir Lee, Sang Hoon J Radiat Res Technology Detailed comparisons of the predictions of the Relativistic Form Factors (RFFs) and Modified Form Factors (MFFs) and their advantages and shortcomings in calculating elastic scattering cross sections can be found in the literature. However, the issues related to their implementation in the Monte Carlo (MC) sampling for coherently scattered photons is still under discussion. Secondly, the linear interpolation technique (LIT) is a popular method to draw the integrated values of squared RFFs/MFFs (i.e. [Image: see text]) over squared momentum transfer ([Image: see text]). In the current study, the role/issues of RFFs/MFFs and LIT in the MC sampling for the coherent scattering were analyzed. The results showed that the relative probability density curves sampled on the basis of MFFs are unable to reveal any extra scientific information as both the RFFs and MFFs produced the same MC sampled curves. Furthermore, no relationship was established between the multiple small peaks and irregular step shapes (i.e. statistical noise) in the PDFs and either RFFs or MFFs. In fact, the noise in the PDFs appeared due to the use of LIT. The density of the noise depends upon the interval length between two consecutive points in the input data table of [Image: see text] and has no scientific background. The probability density function curves became smoother as the interval lengths were decreased. In conclusion, these statistical noises can be efficiently removed by introducing more data points in the [Image: see text] data tables. Oxford University Press 2013-01 2012-09-14 /pmc/articles/PMC3534271/ /pubmed/22984278 http://dx.doi.org/10.1093/jrr/rrs069 Text en © The Author 2012. Published by Oxford University Press on behalf of The Japan Radiation Research Society and Japanese Society for Therapeutic Radiology and Oncology. http://creativecommons.org/licenses/by-nc/3.0/ This is an Open Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/by-nc/3.0/), which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Technology
Muhammad, Wazir
Lee, Sang Hoon
Source of statistical noises in the Monte Carlo sampling techniques for coherently scattered photons
title Source of statistical noises in the Monte Carlo sampling techniques for coherently scattered photons
title_full Source of statistical noises in the Monte Carlo sampling techniques for coherently scattered photons
title_fullStr Source of statistical noises in the Monte Carlo sampling techniques for coherently scattered photons
title_full_unstemmed Source of statistical noises in the Monte Carlo sampling techniques for coherently scattered photons
title_short Source of statistical noises in the Monte Carlo sampling techniques for coherently scattered photons
title_sort source of statistical noises in the monte carlo sampling techniques for coherently scattered photons
topic Technology
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3534271/
https://www.ncbi.nlm.nih.gov/pubmed/22984278
http://dx.doi.org/10.1093/jrr/rrs069
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