Mathematical Modeling of the Electrophysical Properties of a Layered Nanocomposite Based on Silicon with an Ordered Structure

Sergey Korchagin, Ekaterina Romanova, Denis Serdechnyy, Petr Nikitin, Vil Baiburin and Yerbol Yerbayev
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Sergey Korchagin: Department of Data Analysis and Machine Learning, Financial University under the Government of Russian Federation, 4th Veshnyakovsky pr. 4, 111395 Moscow, Russia
Ekaterina Romanova: Department of Data Analysis and Machine Learning, Financial University under the Government of Russian Federation, 4th Veshnyakovsky pr. 4, 111395 Moscow, Russia
Denis Serdechnyy: Department of Innovation Management, State University of Management, Ryazansky pr. 99, 109542 Moscow, Russia
Petr Nikitin: Department of Applied Informatics, Russian State Agrarian University—Moscow Timiryazev Agricultural Academy, Timiryazevskaya Street 49, 127550 Moscow, Russia
Vil Baiburin: Department of Information Security of Automated Systems, Yuri Gagarin State Technical University of Saratov, Polytechnic Street 77, 410054 Saratov, Russia
Yerbol Yerbayev: Higher School of Mechanical Engineering, Zhangir Khan West Kazakhstan Agrarian-Technical University, Zhangir Khan Street 51, Uralsk 090009, Kazakhstan

Mathematics, 2021, vol. 9, issue 24, 1-9

Abstract: The authors carried out modeling of the electrophysical properties of composite media. The frequency dependences of the dielectric constant on the type of inclusions in the composite are investigated. On the basis of the nanocomposite considered in the work, based on Si, B, and SiO 2 , the authors model a reflecting screen, the lattice elements of which have a layered hierarchically constructed structure similar to a fractal formation. The influence of the level of fractality on the optical properties of the object was also investigated, and it was found that the proposed structure makes it possible to increase the operating frequency range of the reflecting screen and the efficiency, in comparison with reflecting screens that have a lattice of traditional structure. The results obtained can be of practical interest for broadband and nonlinear radar devices, localization devices and mobile objects, microelectronics, as well as intelligent applications in the field of information security.

Keywords: composite materials; fractional model; mathematical modeling; fractals; nonlinear dynamics; reflective screen; optical properties (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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