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Funct. Mater. 2018; 25 (2): 391-396.

doi:https://doi.org/10.15407/fm25.02.391

Physico-mathematical model for determining the direction in space to point sources of gamma radiation using spherical absorber.

A.N.Grigoryev1, Z.V.Bilyk1, I.Pettersson2, Yu.V.Litvinov3, N.E.Polyansky3, A.V.Sakun1, V.V.Marushchenko1, I.Yu.Cherniavskyi1, E.F.Voronkin4, O.O.Sosnutska4, S.Yu.Petrukhin1, S.N.Indykov1, V.E.Haydabuka1

1Military Institute of Tank Troops of the National Technical University Kharkiv Polytechnic Institute Poltavskyi Shliakh Street, 192, Kharkiv, 61098, Ukraine
2UiT The Arctic University of Norway, Lodve Langes gate, 2, Narvik, 8505, Norway
3V.N. Karazin Kharkiv National University, Svobody Square 4, Kharkiv, 61022, Ukraine
4State Scientific Institution Institute for Scintillation Materials National Academy of Sciences of Ukraine, Nauky Ave 60, Kharkiv, 61001, Ukraine

Abstract: 

Physico-mathematical model for determining the direction in space to point sources of gamma radiation using a spherical absorber was developed. CdTe detectors of appropriate sizes are placed in the regular pyramid tops under absorber. The physico-mathematical model allowed, taking into account the exponential attenuation of gamma radiation by the absorber, to find the distance from the location of any CdTe sensor to the surface of sphere in any direction in space. Calculated information and signal received from the detectors, correlate to each other. The ratios found depend on the angle to the source of gamma radiation and represent the ratio of transmittance coefficients for four sensors. A methodology for locating the developed device in space, which allowed to obtain dependence of the calculated ratios from the angle in space for θ = 90° and φ from 0° to 360° in increments of 15° was proposed. Each direction in space corresponds to a set of six respective ratios.

Keywords: 
physico-mathematical model, determining the direction, detector under absorber, source of gamma-radiation, spherical absorber.
References: 

1. V.B.Bolshakov, N.I.Kosach, Metrol. Devices, 5, 49 (2014).

2. Z.V. Bilyk, E.F.Voronkin, A.N. Grigoryev at al., Functional Materials,21, 352 (2014).

3. Patent No.2386146 (2010), Ukrainian.

4. Z.V. Bilyk, E.F.Voronkin, A.N. Grigoryev at al., Functional Materials,24, 628 (2017).

5. Patent No.85910 (2013), Ukrainian.

6. I.Y.Cherniavskiy, V.V.Maruschenko, I.M.Martynuyk, Vjsova dozimetrpja, KhPI, Kharkiv, 560 (2012).

7. G.F.Knoll, Radiation Detection and Measurement. Wiley, New York , (1979).

8. V.A.Il'in, E.G. Poznjak, Analiticheskaja geometrija: kurs vysshej matematiki i matematicheskoj fiziki Science, Fizmatlit, Moscow, (1999).[ in Russian]

9. I.I. Privalov, Analiticheskaja geometrija, Science Fizmatlit, Moscow, (1999). [ in Russian]

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