
PROBLEMS OF PHYSICS, MATHEMATICS AND TECHNICS N4 (25) 2015
PHYSICS
Vaskevich V.V., Kovalenko D.L., Semchenko A.V., Sidsky V.V., Kovalevich M.A. Nanostructured photocatalytic solgel coating based on titanium
The solgel method for the production of coatings based on titanium ethoxide is described. The optimal synthesis conditions and the parameters affect on the properties of the resulting materials are described. Investigations of structural and photocatalytic properties have been made. The effect of the concentration of cerium ions on the surface morphology of formed titanium coatings has been discussed.
Keywords: solgel process, film, structural properties, photo catalytic properties.
V.V. Vaskevich – Department of Physics, F. Skorina Gomel State University
D.L. Kovalenko – Department of Physics, F. Skorina Gomel State University
A.V. Semchenko – Department of Physics, F. Skorina Gomel State University
V.V. Sidsky – Department of Physics, F. Skorina Gomel State University
M.A. Kovalevich – Department of Physics, F. Skorina Gomel State University
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Girgel S.S. Generalized Bessel – Gaussian beams of continuous order
The new solutions of the parabolic equation featuring the generalized Bessel – Gaussian beams of the continuous order are offered. They are characterized by three free continuous parameters and possess a spiral wave front. Restrictions on these parameters at which the explored fractional beams transfer terminating power are discovered. Graphic simulation of such beams is held.
Keywords: fractional beams, beams of Bessel – Gaussian, square integrability.
S.S. Girgel – Department of Physics, F. Skorina Gomel State University
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Kosenok Ya.À., Gaishun V.E., Tyulenkova O.I., Savitskaya T.A., Kimlenko I.M., Shakhno K.A. Influence of ultrasonic dispergation on the particle size in suspension based on nanosized silica dioxide
Water suspensions of nanosized silica dioxide are obtained by dispersing in a liquid medium. The influence of sonication time on the size of the silica particles is investigated. It was shown that ultrasonic treatment with simultaneous mechanical mixing and the introduction of surfactants lead to the formation of larger number of particles with smaller size.
Keywords: ultrasonic dispergation, pyrogenic silica dioxide, nanosized particles, cavitation, hydrodynamic diameter.
Ya.À. Kosenok – Department of Physics, F. Skorina Gomel State University
V.E. Gaishun – Department of Physics, F. Skorina Gomel State University
O.I. Tyulenkova – Department of Physics, F. Skorina Gomel State University
T.A. Savitskaya – Belarusian State University, Minsk
I.M. Kimlenko – Belarusian State University, Minsk
K.A. Shakhno – Belarusian State University, Minsk
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Mityurich G.S., Chernenok E.V., Serdyukov A.N. Photodeflectional signal generation by Bessel light beam in dence layer of carbon nanotubes
The phenomenon of occurrence of photodeflection signal in layer of carbon nanotubes of types zigzag and armchair by irradiation of Bessel light beams (BLB) was investigated. It was found that the rate of energy dissipation TEmode BLB essentially depends on the radial coordinate , normalized coordinate . BLB taper angle as well as the frequency of the amplitude modulation BLB.
Keywords: photodeflection affect, carbon nanotube, Bessel light beam, energy dissipation rate, amplitude of the photodeflection signal, Bessel function, heat equation.
G.S. Mityurich – Department of Physics, F. Skorina Gomel State University
E.V. Chernenok – Department of Physics, F. Skorina Gomel State University
A.N. Serdyukov – Department of Physics, F. Skorina Gomel State University
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Rogachev A.V., Fedosenko N.N., Gorbachev D.L. Multifilm polarizers based on refractory oxides
The effectiveness of using an electron beam vacuum evaporation method is shown together with the optical thickness monitoring for formation of multilayer coatings based on twelve layers of SiO_{2}+ZrO_{2} with high degree of polarization. The developed design of the polarization coating is based on refractory oxides for the wavelength nm. It can be used to form polarizers operating as reflective and transmissive optical elements as parts of laser systems.
Keywords: polarizer, electron beam evaporation, refractory oxides, multilayer optical coatings.
A.V. Rogachev – Rector of F. Skorina Gomel State University
N.N. Fedosenko – Department of Physics, F. Skorina Gomel State University
D.L. Gorbachev – Department of Physics, F. Skorina Gomel State University
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Stas’kov N.I. The analytical solution of the inverse problem for the spectrophotometric transparent layer on an absorbing substrate
For the first time, an analytical and numerical solution of the inverse problem for the spectrophotometric silicon dioxide layer on a silicon substrate is obtained. Analytical determination of the parameters of the layer and the substrate can be used as the first approximation in numerical calculations of the parameters of the threelayer model. Inhomogeneous structure of the surface and transition layers is interpreted by MaxwellGarnett & Bruggeman model.
Keywords: interference spectrophotometry, transition layer, optical constants, thickness of the layer.
N.I. Staskov – À.A. Kuleshov Mogilev State University
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Tyumenkov G.Yu. On the method of calculating the statistical weight of a nonideal gas based on entropy of the critical state
The statistical weight of nonideal gas is its most important characteristic of the underlying statistical theory of the macrosystem. In this paper the method of calculating the statistical weight of a nonideal gas based on entropy of the critical state is proposed. Some nonideal gases corresponding several wellknown semiempirical twoparameter equation of state are considered.
Keywords: semiempirical twoparameter equation of state, nonideal gas, critical state, entropy, statistical weight.
G.Yu. Tyumenkov – Department of Physics, F. Skorina Gomel State University
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Khoroshko V.V., Tsyrelchuk I.N., Gremenok V.F., Pyatlitski A.N. Solar cells with Cu_{x}In_{x}Zn_{22x}Se_{2} absorber layer
Thinfilm solar cells with the Cu_{x}In_{x}Zn_{22x}Se_{2} (CIZS) absorber layer of on glass substrates are created. The given semiconductor material satisfies physical requirements for materials for photoelectric converters, and requirements for depreciation of solar cells production. Preliminary results of researches showed that glass/Mo/Cu_{x}In_{x}Zn_{22x}Se_{2}/CdS/ZnO/AlNi thin film solar cells can possess efficiency more than 10%.
Keywords: Cu_{x}In_{x}Zn_{22x}Se_{2}, thin films, solar cells, physical characteristics, efficiency.
V.V. Khoroshko – Belarusian State University of Informatics and Radioelectronics, Minsk
I.N. Tsyrelchuk – Belarusian State University of Informatics and Radioelectronics, Minsk
V.F. Gremenok – Scientific and Practical Materials Research Centre of NAS Belarus, Minsk
A.N. Pyatlitski – JSC «INTEGRAL», Minsk
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Shershnev E.B., Nikitjuk Y.V., Sokolov S.I., Shershnev A.E. Study of laser beam polishing of quartz glass
This paper presents the results of a study of the laser polishing quartz glass obtained by using finite element modeling. In addition, the results of experiments on the laser polishing quartz glass by using CO_{2}laser.
Keywords: laser, quartz glass, polishing, simulation.
E.B. Shershnev – Department of Physics, F. Skorina Gomel State University
Yu.V. Nikitjuk – Department of Physics, F. Skorina Gomel State University
A.E. Shershnev – Department of Physics, F. Skorina Gomel State University
S.I. Sokolov – Department of Physics, F. Skorina Gomel State University
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MATHEMATICS
Belokon L.M. On the intersections of the maximal subgroups of finite groups and a subgroup abnormally full mfunctor
Vasil’ev A.F., Murashka V.I. On the influence of the Fitting subgroup on the products of finite soluble groups
A subgroup H of a group G is called F(G)subnormal if it is subnormal in HF(G). In the paper all closed under taking Schmidt subgroups saturated formations
of finite soluble groups such that
contains every soluble group G which is the product of its F(G)subnormal subgroups were described. It was shown that a group G which contains three supersoluble F(G)subnormal subgroups of pairwise coprime indexes in G is supersoluble.
Keywords: Fitting subgroup, F(G)subnormal subgroup, supersoluble group, saturated formation, F(G)radical formation.
A.F. Vasil’ev – Department of Mathematics, F. Skorina Gomel State University
V.I. Murashka – Department of Mathematics, F. Skorina Gomel State University
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Eryomina A.R. On insensibility of stationary distribution of state probabilities of piecewise continuous queueing network with multimode servicing
The open piecewise continuous queueing network with multimode service and polytypic demands is considered. The quantity of work, which is necessary for switching from one strategy to another, is random variable with arbitrary distribution function. The dispatching rule is DPS. It was proved that stationary distribution is invariant in relation to functional form of distribution of work’s quantities, which are necessary for switching of strategies of devices in units, on condition that first moments of these distributions are fixed.
Keywords: invariance, multimode service, DPS, piecewise continuous queueing network.
A.R. Eryomina – Y. Kupala Grodno State University
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Kamornikov S.F. A sufficient condition for a formation to be solubly saturated
Mirotin A.R., Dyba R.V. On finite dimensional and nuclear operators in Hardy spaces H^{2} on compact Abelian groups
Compact and connected Abelian group G with totally ordered dual is considered. It is shown that nontrivial finite rank Hankel operator exists on G if and only if the dual group contains the first positive element. In this case the classical theorems by Kroneker, Hartman, and Peller are generalized to the case of Hankel operators on G.
Keywords: compact Abelian group, Hankel operator, finite rank operator, nuclear operator.
A.R. Mirotin – Department of Mathematics, F. Skorina Gomel State University
R.V. Dyba – Department of Mathematics, F. Skorina Gomel State University
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Safonov V.G., Safonova I.N. On commutative semigroups of soluble totally saturated formations
Shamoyan R.F., Zaytseva O.A. On sharp traces of some new analytic Herztype spaces in Siegel domains in
We provide complete characterizations of traces of some new analytic spaces of Herztype in polydisk, unit ball and tubular domains over symmetric cones and bounded pseudoconvex domains with smooth boundary under additional natural condition on kernel. Our results extend previously known assertions.
Keywords: analytic functions, Herztype spaces, polydisk, tubular domains, pseudoconvex domains.
R.F. Shamoyan – Bryansk State University, Bryansk
O.A. Zaytseva – Bryansk State University
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INFORMATION SCIENCE
Kulinchenko V.N., Demidenko O.Ì. Studying of the influence of external noises on the signal quality in WiFi networks
The effect of different sources of noises in the range of 2.4–5 GHz on the quality of transmission signal by the WiFi access point in the local area network is considered in the article.
Keywords: wireless network WiFi, sources of noises, access point, band, microwave.
V.N. Kulinchenko – Department of Physics, F. Skorina Gomel State University
O.M. Demidenko – Prorector of F. Skorina Gomel State University
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Kurochka K.S., Trubenok D.N., Stefanovsky I.L. Simulation of natural oscillations in the hollowcore slabs in structure of the frame buildings
A mathematical model of the impact impulse load on the hollowcore slabs, which is an integral part of the design of the frame of the building, is considered. As a result, data on the occurrence of the natural oscillations in the studied construction with the passage of time are obtained.
Keywords: natural oscillation, hollowcore slabs, finite element method.
K.S. Kurochka – P.O. Sukhoi Gomel State Technical University
D.N. Trubenok – P.O. Sukhoi Gomel State Technical University
I.L. Stefanovsky – P.O. Sukhoi Gomel State Technical University
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