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

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<sub>2</s...

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Main Authors: Sergey Korchagin, Ekaterina Romanova, Denis Serdechnyy, Petr Nikitin, Vil Baiburin, Yerbol Yerbayev
Format: Article
Language:English
Published: MDPI AG 2021-12-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/9/24/3167
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author Sergey Korchagin
Ekaterina Romanova
Denis Serdechnyy
Petr Nikitin
Vil Baiburin
Yerbol Yerbayev
author_facet Sergey Korchagin
Ekaterina Romanova
Denis Serdechnyy
Petr Nikitin
Vil Baiburin
Yerbol Yerbayev
author_sort Sergey Korchagin
collection DOAJ
description 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<sub>2</sub>, 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.
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spelling doaj.art-91422013d248430db71fd5629a80a9ad2023-11-23T09:25:10ZengMDPI AGMathematics2227-73902021-12-01924316710.3390/math9243167Mathematical Modeling of the Electrophysical Properties of a Layered Nanocomposite Based on Silicon with an Ordered StructureSergey Korchagin0Ekaterina Romanova1Denis Serdechnyy2Petr Nikitin3Vil Baiburin4Yerbol Yerbayev5Department of Data Analysis and Machine Learning, Financial University under the Government of Russian Federation, 4th Veshnyakovsky pr. 4, 111395 Moscow, RussiaDepartment of Data Analysis and Machine Learning, Financial University under the Government of Russian Federation, 4th Veshnyakovsky pr. 4, 111395 Moscow, RussiaDepartment of Innovation Management, State University of Management, Ryazansky pr. 99, 109542 Moscow, RussiaDepartment of Applied Informatics, Russian State Agrarian University—Moscow Timiryazev Agricultural Academy, Timiryazevskaya Street 49, 127550 Moscow, RussiaDepartment of Information Security of Automated Systems, Yuri Gagarin State Technical University of Saratov, Polytechnic Street 77, 410054 Saratov, RussiaHigher School of Mechanical Engineering, Zhangir Khan West Kazakhstan Agrarian-Technical University, Zhangir Khan Street 51, Uralsk 090009, KazakhstanThe 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<sub>2</sub>, 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.https://www.mdpi.com/2227-7390/9/24/3167composite materialsfractional modelmathematical modelingfractalsnonlinear dynamicsreflective screen
spellingShingle Sergey Korchagin
Ekaterina Romanova
Denis Serdechnyy
Petr Nikitin
Vil Baiburin
Yerbol Yerbayev
Mathematical Modeling of the Electrophysical Properties of a Layered Nanocomposite Based on Silicon with an Ordered Structure
Mathematics
composite materials
fractional model
mathematical modeling
fractals
nonlinear dynamics
reflective screen
title Mathematical Modeling of the Electrophysical Properties of a Layered Nanocomposite Based on Silicon with an Ordered Structure
title_full Mathematical Modeling of the Electrophysical Properties of a Layered Nanocomposite Based on Silicon with an Ordered Structure
title_fullStr Mathematical Modeling of the Electrophysical Properties of a Layered Nanocomposite Based on Silicon with an Ordered Structure
title_full_unstemmed Mathematical Modeling of the Electrophysical Properties of a Layered Nanocomposite Based on Silicon with an Ordered Structure
title_short Mathematical Modeling of the Electrophysical Properties of a Layered Nanocomposite Based on Silicon with an Ordered Structure
title_sort mathematical modeling of the electrophysical properties of a layered nanocomposite based on silicon with an ordered structure
topic composite materials
fractional model
mathematical modeling
fractals
nonlinear dynamics
reflective screen
url https://www.mdpi.com/2227-7390/9/24/3167
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AT denisserdechnyy mathematicalmodelingoftheelectrophysicalpropertiesofalayerednanocompositebasedonsiliconwithanorderedstructure
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