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Abstract. Sol-gel technique for obtaining nanocomposite organic-inorganic materials doped with rare earth elements is presented. The optimal regimes for the formation of composite polymer layers have been determined. The influence of the initial composition and heat treatment modes on the thickness, adhesion and optical properties of the resulting films has been established. Studies of the surface topography and spectral-luminescent properties of the synthesized polymer films have been carried out.

Keywords: sol-gel, organic polymer, rare earth elements, adhesion, mechanical strength, optical properties, luminescence.

For citation: Nanocomposite materials containing rare earth complexes for application in solar energy / V.E. Gaishun, A.V. Semchenko, V. Verlan, D.L. Kovalenko, V.V. Vaskevich, O.I. Tyulenkova, K.D. Danilchenko, A.A. Maevsky, S.U. Yuldashev // Problems of Physics, Mathematics and Technics. – 2023. – № 4 (57). – P. 7-13. – DOI: https://doi.org/ 10.54341/20778708_2023_4_57_7 (in Russian). – EDN: ABXCND

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Abstract. New vector solutions of the parabolic equation describing vector astigmatic TM Hermite – Gaussian light beams are proposed. The polarization and energy properties of such beams are investigated. The graphical modeling of the ellipses of polarization, the intensity and transverse energy fluxes of vector astigmatic TM Hermite – Gaussian light beams is carried out.

Keywords: TM-modes, astigmatic beams, Hermite – Gaussian beams, transverse energy fluxes.

For citation: Girgel, S.S. Polarization and energy fluxes of generalized astigmatic TM Hermite – Gaussian modes / S.S. Girgel // Problems of Physics, Mathematics and Technics. – 2023. – № 4 (57). – P. 14-19. – DOI: https://doi.org/10.54341/ 20778708_2023_4_57_14 (in Russian). – EDN: ADFHDR

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Abstract. Based on the use of equations of state of real gases, analytical expressions for their physical parameters (thermodynamic coefficients) expressed in the reduced variables are obtained. The Peng – Robinson equation, Ishikawa – Chung – Lu equation and Fogelson – Likhachev equation are considered.

Keywords: thermodynamic coefficient, reduced variables, real gas equation of state, Peng – Robinson equation, Ishikawa – Chung – Lu equation, Vogelson – Likhachev equation.

For citation: Dey, E.A. Reduced thermodynamic coefficients in the theory of real gases / E.A. Dey, G.Yu. Tyumenkov // Problems of Physics, Mathematics and Technics. – 2023. – № 4 (57). – P. 20-24. – DOI: https://doi.org/10.54341/ 20778708_2023_4_57_20 (in Russian). – EDN: CPVAEW

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Abstract. The features of acoustooptical diffraction of limited light beams of a rectangular profile on a slow shear ultrasonic wave in paratellurite crystals were investigated. Diffraction efficiency and frequency transmission width of an acoustooptic device in polar plane are shown to be considerably higher than in azimuthal plane. It is established that the resolution of the device in the deflector mode can be the same for the polar and azimuthal planes due to the choice of the size of the input aperture of the light beam.

Keywords: acoustooptical interaction, paratellurite crystal, limited light beam, acoustooptical deflector.

For citation: Two-coordinate acoustooptic diffraction of limited light beams in paratellurite crystals / G.V. Kulak, T.V. Nikolaenko, L.V. Tsalko, P.I. Ropot // Problems of Physics, Mathematics and Technics. – 2023. – № 4 (57). – P. 25-29. – DOI: https://doi.org/10.54341/20778708_2023_4_57_25 (in Russian). – EDN: FFBNLF

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Abstract. The phenomenon of water hammer in a single-layer composite pipe is investigated by the known method of characteristics, with which it is possible to determine the pressure and flow rate (velocity) of a moving fluid [1]–[5]. A methodology has been developed and a program has been created in the Delphi environment that makes it possible to determine the parameters of a water hammer in a composite pipe (wave velocity, pressure and fluid flow). The calculation and analysis of the results on the influence of the physico-mechanical characteristics of a water hammer on the head (pressure) and flow rate of the liquid is carried out on the example of a polyethylene pipe reinforced with a winding of steel fibers [4] with various reinforcement schemes [6], [7]. The velocity of the liquid wave in the orthotropic tube was determined according to the developed method [8], it is shown that the results obtained are in good agreement with the other experimental and theoretical data.

Keywords: composite pipe, orthotropy, fibers, matrix, wave velocity, water hammer, method of characteristics, pressure, fluid flow.

For citation: Mozharovsky, V.V. Influence of the arrangement of fibers in a composite pipe on the parameters of water hammer / V.V. Mozharovsky, S.V. Kirhintsava // Problems of Physics, Mathematics and Technics. – 2023. – № 4 (57). – P. 30-35. – DOI: https://doi.org/10.54341/20778708_2023_4_57_30 (in Russian). – EDN: EAIFOC

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Abstract. This paper presents the optimization of cutting parameters of silicate glasses with elliptical laser beams as part of fracture mechanics using a genetic algorithm. Temperatures, thermoelastic stresses and stress intensity factors were calculated via APDL (Ansys Parametric Design Language). Corresponding regression models were built for five factors: cutting speed, laser power, initial crack length, and elliptical laser beam semi-axis length. The values of maximum temperatures in the treatment zone, values of thermoelastic stresses and stress intensity coefficients KI at the initial crack tip were used as responses. The influence of varying factors on the responses was evaluated. The comparison of the response values, obtained as a result of optimization using a genetic algorithm with the values resulting from finite element simulation, was performed. As a result of optimizing laser cleaving with elliptical beams, the values of technological parameters were established. These parameters ensure an increase in reliability and productivity of the process of cutting silicate glasses with elliptical laser beams.

Keywords: laser cutting, crack, MOGA, ANSYS.

For citation: Nikityuk, Yu.V. Optimization of laser cleaving of silicate glasses with elliptical beams using fracture mechanics parameters / Yu.V. Nikityuk, I.Yu. Aushev // Problems of Physics, Mathematics and Technics. – 2023. – № 4 (57). – P. 36-41. – DOI: https://doi.org/10.54341/20778708_2023_4_57_36. – EDN: EBJMJF

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Abstract. The influence of carbon plasma parameters on the chemical and phase composition, morphology, and mechanical properties of carbon coatings doped with zirconium and silicon from a gas flow generated by stationary electric arc evaporation has been determined. It has been established that an increase in the repetition rate of carbon plasma pulses and the associated decrease in zirconium concentration leads to an increase in the nanohardness of composite coatings, due to an increase in the content of sp³-hybridized carbon atoms.

Keywords: carbon coatings, silicon, zirconium, chemical composition, morphology, phase composition, hardness, plasticity.

For citation: Structure and mechanical properties of carbon coatings doped with zirconium and silicon / A.S. Rudenkov, D.G. Piliptsou, A.N. Kupo, S.A. Frolov // Problems of Physics, Mathematics and Technics. – 2023. – № 4 (57). – P. 42-47. – DOI: https://doi.org/10.54341/20778708_2023_4_57_42 (in Russian). – EDN: FWWCTQ

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Abstract. The technique for the synthesis of sol-gel ITO films with embedded ZnGa₂O₄:Cr³⁺, Yb³⁺ (YAGG:Cr³⁺, Yb³⁺) nanocrystals exhibiting long-lasting afterglow on the surface of a photovoltaic solar cell has been developed. The luminescence intensity for a sol-gel film with ZnGa₂O₄:Cr³⁺, Yb³⁺ nanocrystals is an order of magnitude lower than for ITO films with YAGG:Cr³⁺, Yb³⁺ nanocrystals. The use of the Pechini method ensures the luminescence intensity of ITO films with YAGG:Cr³⁺, Yb³⁺ nanocrystals is 4 times higher than the chemical deposition method. Nanocrystals were introduced into an ITO-based matrix. In₂O₃:SnO₂ (ITO) is a semiconductor with a band gap of 3.7–4.3 eV, providing high transmittance in the visible light region. ITO thin films are used in optoelectronics and microelectronics as a transparent conductive contact for a range of optoelectronic products, including solar cells, LEDs, laser diodes and flat panel displays.

Keywords: film synthesis, sol-gel method, thin films, solar cells, functional structures.

For citation: Low temperature forming processes of nanocomposite films for optoelectronics / S.A. Khakhomov, A.V. Semchenko, V.E. Gaishun, D.L. Kovalenko, V.V. Vaskevich, K.D. Danilchenko, A.A. Maevsky, V.V. Malyutina-Bronskayŕ, S.U. Yuldashev, V. Verlan // Problems of Physics, Mathematics and Technics. – 2023. – № 4 (57). – P. 48-52. – DOI: https://doi.org/10.54341/20778708_2023_4_57_48 (in Russian). – EDN: IRLYAF

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Abstract. The high efficiency of using the electron beam dispersion method in the deposition of single-component and composite coatings based on hydroxyethylcellulose and octenidine was established, and their molecular structure and properties were determined. In the outer layers, the coating contains a higher concentration of C – O, C – C (sp³), C – OH bonds in comparison with the structure of the original organic compound. The coating is characterized by high speed and monotonous dissolution of octenidine in solutions.

Keywords: electron beam dispersion, coating, hydroxyethylcellulose, octenidine, structure, properties.

For citation: Synthesis and sorption properties of coatings based on hydroxyethyl cellulose intercalated from the gas phase with antibacterial compounds / M.A. Yarmolenko, Jiang Xiao Homg, A.A. Rogachev, A.V. Rogachev, A.S. Rudenkov, S.A. Frolov, A.M. Mikchalko // Problems of Physics, Mathematics and Technics. – 2023. – № 4 (57). – P. 53–59. – DOI: https://doi.org/10.54341/20778708_2023_4_57_53 (in Russian). – EDN: NNLVFW

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Abstract. The study on the powers in polyadic groups of special form is carrid on.

Keywords: polyadic operation, n-ary group, power.

For citation: Gal’mak, A.M. Powers in l-ary groups of special form. III / A.M. Gal’mak // Problems of Physics, Mathematics and Technics. – 2023. – № 4 (57). – P. 60-63. – DOI: https://doi.org/10.54341/20778708_2023_4_57_60 (in Russian). – EDN: OYZHSI

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Abstract. For the partition σ={{2},{3},{2,3}'} of the set of all primes, the Kegel – Wielandt σ-problem is solved.

Keywords: finite group, Hall subgroup, σ-subnormal subgroup, Kegel – Wielandt σ-problem.

For citation: Kamornikov, S.F. The Kegel – Wielandt σ-problem for the partition σ={{2},{3},{2,3}'} / S.F. Kamornikov, V.N. Tyutyanov // Problems of Physics, Mathematics and Technics. – 2023. – № 4 (57). – P. 64-68. – DOI: https://doi.org/10.54341/20778708_2023_4_57_64 (in Russian). – EDN: QTOYZY

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Abstract. A phenomenological model of plasma-chemical etching of an aluminum coating is created, which is the basis of current-carrying microstructures in electronic product technologies, in a gas environment containing partial components BCl₃ c₁=(50-65 vol.%), Cl₂ c₂=(25-35 vol.%) and N₂ c₃=(0-30 vol.%), at a pressure P=150-250 mTorr, and plasma power density W=1,6-2,2 W/sm².

Keywords: plasma-chemical etching, aluminum interconnects, mathematical modeling of plasma processes.

For citation: Emelyanov, V.V. Phenomenological model of metal coating etching in a gas mixtured plasma / V.V. Emelyanov, A.N. Kupo, V.A. Emelyanov // Problems of Physics, Mathematics and Technics. – 2023. – № 4 (57). – P. 69-73. – DOI: https://doi.org/10.54341/20778708_2023_4_57_69 (in Russian). – EDN: RRMEEJ

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Abstract. The article describes the principle of operation of the RPL protocol for networks with low power consumption and losses. Modeling has been done and the RPL protocol is being evaluated. The necessity of using clustering for large peer-to-peer networks of the industrial Internet of things is substantiated. An algorithm for choosing the main nodes in clusters is proposed and two algorithms for calculating ranks are developed when determining the best routes from the main nodes in the cluster to the gateway.

Keywords: Internet of things, gateway, sensor node, transmission reliability, power consumption modes, clustering.

For citation: Lavshuk, O.A. Routing method in IIoT networks using clustering for the RPL protocol / O.A. Lavshuk, N.I. Listopad // Problems of Physics, Mathematics and Technics. – 2023. – № 4 (57). – P. 74-80. – DOI: https://doi.org/ 10.54341/20778708_2023_4_57_74 (in Russian). – EDN: RVSCGG

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Abstract. The analysis of stresses and deformations in the asphalt concrete pavement, arising under the action of the pressure of the wheels of passing cars, is carried out. There is taken into account the change in the elastic moduli of the upper layers materials, due to the change in temperature along the height. Based on the solution of the thermoelasticity problem in the ANSYS finite element modeling software package, the distribution of temperatures, stresses and strains in the pavement layers is obtained. It is shown that the decrease in the stiffness of the upper layers materials leads to a significant change in the pattern of stress and strain distribution when the road surface is heated.

Keywords: pavement, asphalt concrete, thermoelasticity, finite element modeling, stress-strain state.

For citation: Shimanovsky, A.O. Modeling of the layered pavement deformation considering the temperature change / A.O. Shimanovsky, D.A. Kupreyeva // Problems of Physics, Mathematics and Technics. – 2023. – № 4 (57). – P. 81-86. – DOI: https://doi.org/10.54341/20778708_2023_4_57_81 (in Russian). – EDN: SIRIJL

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Abstract. An approach to the creation of intelligent object control systems using machine learning with reinforcement is illustrated using the example of an intersection control system. The simulation model of the intersection, chosen as the learning environment, is described. The results of a comparative analysis of the performance of various learning algorithms are presented. The results of applying the Monte Carlo policy gradient to train the intersection model are presented.

Keywords: transport network, reinforcement learning, neural networks, throughput, security, control systems, policy gradient.

For citation: Sukach, E.I. Intelligent control system for road intersection / E.I. Sukach, M.V. Biza // Problems of Physics, Mathematics and Technics. – 2023. – № 4 (57). – P. 87-93. – DOI: https://doi.org/10.54341/20778708_2023_4_57_87 (in Russian). – EDN: UQUVAZ

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Abstract. An approach to solving the problem of constructing machine learning models in solving data classification problems is pro-posed. Using the example of analyzing biomedical data sets, the performance of machine learning algorithms tuned using pre-optimized hyperparameters is compared. The best values of hyperparameters that provide effective prediction were found for the most common machine learning algorithms.

Keywords: machine learning, data classification, hyperparameter optimization, big data processing, disease prediction.

For citation: Timoschenko, E.V. Research of the performance of machine learning algorithms in data classification problems / E.V. Timoschenko, A.F. Razhkov // Problems of Physics, Mathematics and Technics. – 2023. – № 4 (57). – P. 94-102. – DOI: https://doi.org/10.54341/20778708_2023_4_57_94 (in Russian). – EDN: ZCJEJY

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