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Design, manufacturing and commissioning of nuclear industry equipment

Article NameThe Application of Potential Theory for Neutron Field Configuration Analysis of Isotropic Sources
AuthorsV.Ya. Shpicer1, V.V. Krivin2, V.A. Tolstov3, L.S. Khegay4, I.O. Ishigov5
Address

Volgodonsk Engineering Technical Institute the branch of National Research Nuclear University «MEPhi», Lenin St., 73/94, Volgodonsk, Rostov region, Russia 347360

1ORCID iD: 0000-0002-5051-5091

e-mail: shpitser@mephi.ru

2ORCID iD: 0000-0003-0903-0786

WoS Researcher ID: E-2267-2018

e-mail: vvkrivin@mephi.ru

3ORCID iD: 0000-0001-7144-5195

WoS ResearcherID: F-1032-2017

e-mail: v-tolstov-2017@mail.ru

4e-mail: LSKhegai@mephi.ru

5ORCID iD: 0000-0002-5829-6989

WoS Researcher ID: E-2448-2018

e-mail: ioishigov@mephi.ru

AbstractThe article deals with the one-group approximation to the problem of parametric identification of the distribution of isotropic sources, providing the required configuration of the neutron field in vacuum.
Keywordspotential; isotropic neutron sources; inverse problems of transport theory; Poisson's equation; incorrect tasks; flaw detection; neutron diffraction; neutron tomography.
LanguageRussian
References

 

  1. Tikhonov A.N., Samarsky A.A. Uravneniya matematicheskoj fiziki [The Equations of Mathematical Physics]. Moskva [Moscow. Nauka]. 1972. 728 p. (in Russian).
  2. Prilepko A.I. Obratny`e zadachi teorii potenciala (e`llipticheskie, parabolicheskie, giperbolicheskie uravneniya i uravneniya perenosa) [The Inverse Problems of Potential Theory (Elliptic, Parabolic, Hyperbolic and Transport Equations)]. Matematicheskiye zametki [Math notes]. 1973. Vol. 14. Issue 5. P. 755-767. (in Russian)
  3. Kabanihin S.I. Obratny`e i nekorrektny`e zadachi [The Inverse and Incorrect Problems]. Novosibirsk : Izdatel'stvo SO RAN [Publishing house of the SB RAS. Novosibirsk]. 2018. 511 p. (in Russian).
  4. Medvedev A. V. Neparametricheskie sistemy` adaptacii [The Nonparametric Adaptation Systems]. Novosibirsk. Nauka, 1983. 176 p. (in Russian).
  5. Koshkin G.M., Piven I.G. Neparametricheskaya identifikatsiya stohasticheskih obektov [Nonparametric Identification of Stochastic Objects]. Rossiyskaya akademiya nauk, Dal'nevostochnoye otdeleniye [Khabarovsk: Far Eastern Branch of Russian Academy of Sciences]. 2009. 336 p. (in English).
  6. Aronson R., Yarmush D. Matrichny`e metody`: Rukovodstvo po radiacionnoj zashhite dlya inzhenerov. T. 1 [The Matrix Methods: Guidance on Radiation Protection for Engineers. Vol. 1]. Perevod s angliyskogo; pod red. D.L. Brodera [Translation from English. Ed. D.L. Broder]. Moskva: Atomizdat [Moscow. Atomizdat]. 1972. P.79-83. (in Russian).
  7. Germogenova T.A. Izbranny`e trudy`. T. 2 [Selected works. Vol. 2.]. Moskva: IPM
    im. M.V. Keldysha [Moscow. IPM them. M.V. Keldysh], 2017. 260 p. (in Russian).
  8. Germogenova T.A. et al. Al`bedo nejtronov [The Albedo of Neutrons]. Moskva: Atomizdat [Moscow. Atomizdat]. 1973. 279 p. (in Russian).
  9. Gusev N.G., Kovalev E.E., Foderaro A. Vy`vod formul. Linejny`j istochnik [Derivation of Formulas. Linear Source]. Rukovodstvo po radiatsionnoy zashchite dlya inzhenerov, T.2; perevod s angliyskogo; pod red. D.L. Brodera [Guidance on Radiation Protection for Engineers. Vol. 2. Translation from English. Ed. D.L. Broder]. Moskva: Atomizdat [Moscow. Atomizdat]. 1972. P.79-83. (in Russian).
  10. Golubev S.V., Izotov I.V., Lapin R.L. et al. Impul`sny`j kvazitochechny`j generator nejtronov na osnove sil`notochnogo E`CzR-istochnika ionov dejteriya [Pulsed Quasi-Point Neutron Generator Based on a High-Current ECR Source of Deuterium Ions]. Prikladnaya fizika [Applied Physics]. 2018. № 6. P.79. (in Russian).
  11. Aksenov V.L., Balagurov A.M., Pepelyshev Yu.N. [et al.] Vy`sokopotochny`j istochnik nejtronov na osnove kaskadnogo bustera [High-Flux Neutron Source Based on Cascade Booster]. Voprosy` atomnoj nauki i texniki [Problems of Atomic Science and Technology]. 2017. Issue 2. P. 4-25.
    (in Russian).
  12. Kozlenko D.P., Kichanov S.E., Lukin E.V. et al. Neutron Radiography and Tomography Facility at IBR-2 Reactor. Physics of Particles and Nuclei Letters, 13, 3, 346-351 (2016) (in English).

 

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