Far Eastern Mathematical Journal

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Some estimations of errors at problem of continuous medium radiography


Nazarov V.G.

2020, issue 1, Ñ. 82–89
DOI: https://doi.org/10.47910/FEMJ202009


Abstract
The paper deals with a problem of radiography of a continuous medium of unknown chemical composition. The medium is subjected to multiple X-raying at different energy levels. The relative errors at incoming and outgoing radiation are assumed to be known. The paper advances some estimations of absolute errors at the right side of system of equations describing the process of radiation transfer.

Keywords:
radiography of a continuous medium, identification the chemical composition of a substance, calculation accuracy

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References

[1] Sergei Osipov, Sergei Chakhlov, Andrey Batranin, Oleg Osipov, Van Bak Trinh, Juriy Kytmanov, “Theoretical study of a simplified implementation model of a dual-energy technique for computed tomography”, NDT and E International, 98, (2018), 63–69.
[2] S.P. Osipov, V. A. Udod, Yanzhao Wang, “Identification of Materials in X-Ray Inspections of Objects by the Dual-Energy Method”, Russian Journal of Nondestructive Testing, 53 (8), (2017), 568–587.
[3] V.G. Nazarov, “Zadacha chastichnoi identifikatsii neizvestnogo veshchestva”, Dal'nevostochnyi matematicheskii zhurnal, 19:1, (2019), 43–62.
[4] V.G. Nazarov, “Metod singuliarnogo razlozheniia matritsy v zadache nakhozhdeniia khimicheskogo sostava sredy”, Sibirskie elektronnye matematicheskie izvestiia, 14, (2017), 821–837.
[5] M.J. Berger, J. H. Hubbell, S. M. Seltzer, J. Chang, J. S. Coursey, R. Sukumar, D. S. Zucker, “XCOM: Photon Cross Section Database. National Institute of Standards and Technology. Gaithersburg. MD.”, 2005, http://www.physics.nist.gov/xcom.
[6] A.I. Volkov, I. V. Zharskii, Bol'shoi khimicheskii spravochnik, Sovremennaia shkola, Minsk, 2005.

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