
PROBLEMS OF PHYSICS, MATHEMATICS AND TECHNICS N1 (30) 2017
PHYSICS
Abramovich N.D., Dick S.K. Optimization effect of light on endogenous porphyrins in soft biological tissues
Light action spectra for skin chromophores are simulated. Endogenic porphyrins (Pp IX, Cp III, and Up III) are selected as target chromophores. They can produce singlet oxygen (SO) under tissue irradiation, which acts as a natural photosensitizer. The SO is toxic for cancer cells. This process is known to be widely used in photodynamic therapy (PDT). The irradiation at wavelengths ranging from 610 to 630 nm is significantly stimulates the production of endogenous porphyrins SO over the entire thickness of the dermis (2–3 times dermis at a depth z<0.15 mm; 10–12 times dermis z>=0.15 mm) compared with exposure to absolute absorption maxima (at about 501 nm for uroporphyrin (UpIII), 495 nm for coproporphyrin (CpIII) and 505 nm for protoporphyrin (PpIX). The presented results can provide new opportunities for the selection of the irradiation wavelengths under application of traditional PDT methods.
Keywords: soft biological tissue, singlet oxygen, endogenic porphyrins, radiative transfer equation, light action spectra.
N.D. Abramovich – Belarusian State University of Informatics and Radioelectronics, Minsk
S.K. Dick – Belarusian State University of Informatics and Radioelectronics, Minsk
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Girgel S.S. Diffraction free asymmetric Bessel wave fields of the continuous order
The new solutions of the equation of Helmholtz describing diffraction free asymmetric wave fields of Bessel of a continuous order are offered. They are characterized by five continuous parameters and possess a spiral wavefront. Restrictions on these parameters at which explored fractional beams transfer terminating power are discovered. Pictorial modeling of such beams is fulfilled.
Keywords: beams, asymmetric beams, Bessel beams.
S.S. Girgel – Department of Physics, F. Skorina Gomel State University
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Sidsky V.V., Semchenko A.V., Kolos V.V., Pyatlitski A.N., Solodukha V.A., Kovalchuk N.S. Effect of heat treatment conditions on the structure and ferroelectric properties of SBTNfilms synthesized by solgel method
The study of restorative and crystallization annealing on ferroelectric properties of SBTNfilms with concentration of niobium 10–50 wt. % synthesized by the solgel method is presents. Effect of recovery annealing on the oxygen content in the SBTN ferroelectric film connected with the mass concentration of niobium is described.
Keywords: ferroelectric, nonvolatile memory, solgel method, perovskite structure, crystallization and recovery annealing, capacitor layer, defects, residual polarization, SBTNfilm.
V.V. Sidsky – F. Skorina Gomel State University
A.V. Semchenko – F. Skorina Gomel State University
V.V. Kolos – JSC “INTEGRAL” Minsk
A.N. Pyatlitski – JSC “INTEGRAL” Minsk
V.A. Solodukha – JSC “INTEGRAL” Minsk
N.S. Kovalchuk – JSC “INTEGRAL” Minsk
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Shershnev E.B., Nikitjuk Y.V., Sokolov S.I., Shershnev A.E. Features of laser radiation with 1064 nm, 532 nm, and 266 nm for the treatment of the crystals of diamond
Simulated diamond crystals processing by laser infrared, green and ultraviolet range was done. The analysis of temperature fields and thermal stress fields generated in the diamond crystals as a result of laser exposure was carried out for three different options: an analysis of the effect of laser radiation along the axis of symmetry of the second (L_{2}), third (L_{3}) and fourthorder (L_{4}).
Keywords: laser treatment, diamond, finite element method.
E.B. Shershnev – F. Sñorina Gomel State University
Y.V. Nikitjuk – F. Sñorina Gomel State University
S.I. Sokolov – F. Sñorina Gomel State University
A.E. Shershnev – F. Sñorina Gomel State University
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MATHEMATICS
Belokon L.M. A normal factorization of a subnormal subgroup of some finite group in connection with local formations and generalized Frattini subgroups. Formation radicals
Zhogal S.P., Zhogal S.I., Klimenko A.V. Investigation of stochastic selfoscillatory systems with one degree of freedom by method of canonical representations
Random fluctuations in the selfoscillatory systems were investigated by canonical representations. The equations to find the most probable values of the amplitude and phase of the steadystate oscillations in systems with additive wideband noises are obtained.
Keywords: selfoscillatory system, stochastic oscillations, method of canonical representations, amplitude of stationary stochastic oscillations.
S.P. Zhogal – F. Skorina Gomel State University
S.I. Zhogal – Belarusian State University of Transport, Gomel
A.V. Klimenko – F. Skorina Gomel State University
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Kozel A.G. Mathematical model of deformation of the circular threelayer plate on the basis of Pasternak
Statement of a boundary problem about a bend of an elastic threelayer circular plate on the basis of Pasternak is given. General analytical solution for the asymmetrical on thickness plate is obtained. It can serve as a source for the study of any case of symmetric bending a circular threelayer plate, simply supported on an elastic foundation of Pasternak’s.
Keywords: threelayer circular plate, symmetric bend, Pasternak's basis.
A.G. Kozel – Belarusian State University of Transport, Gomel
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Kostyukova O.I., Kulahina M.V. Optimality criterion for semiinfinite programming problems with faithfully convex constraint functions
Convex semiinfinite programming problem with polyhedral index sets and faithfully convex constraint functions are considered. An explicit optimality criterion is formulated and proved for the given class of problems. A comparative analysis of this criterion with known optimality conditions is performed. An illustrative example is presented.
Keywords: semiinfinite programming, convex programming, immobile index, immobility order, faithfully convex function.
O.I. Kostyukova – Institute of Mathematics of National Academy of Sciences of Belarus, Minsk
M.V. Kulahina – F. Skorina Gomel State University
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Mironenko V.I., Mironenko V.V. Thå linear systems perturbations, which do not change Poincare mapping
The advantage of the reflecting function theory have been demonstrated on the study of the linear nonautonomous twodimensional systems.
Keywords: differential system, Reflecting Function, Poincare mapping.
V.I. Mironenko – Department of Mathematics, F. Skorina Gomel State University
V.V. Mironenko – Department of Mathematics, F. Skorina Gomel State University
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Pokatilov A.E., Kirkor M.A. Problems of research of mechanics of locomotion of the locomotor apparatus of the person
The method of building of compact mathematical models, as use of recurrent attitudes in the kinematic and dynamic models of locomotion of the person, designed for computer modelling is analysed. Problems of the analysis and locomotion synthesis at the kinematic and dynamic level are surveyed. Existing methods of definition of geometry of masses of a human body are investigated and calculations by definition extents of static indefinability of a locomotorium of the person are executed. Problems in research of interacting of the person with an elastic support are shown during locomotion of biomechanical system. New method of research of a threedimensional motion of the person are offered.
Keywords: recurrent ratioes, analysis, synthesis, elastic leg, threedimensional motion, motion capture.
A.E. Pokatilov – Mogilev State University of Food Technologies
M.A. Kirkor – Mogilev State University of Food Technologies
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Sidortsov M.V., Starovoitova N.A., Starovoitov A.P. Asymptotics of the type II Hermite – Pade approximation of exponential functions with complex multipliers in the exponent
The asymptotic behavior of diagonal Hermite – Pade polynomials and diagonal Hermite – Pade approximations of type II for the system of exponentials in which while the rest are the roots of the equation is determined. The theorems complement known results of H. Pade, D. Braess, A.I. Aptekarev, H. Stahl, F. Wielonsky, W. Van Assche, A. B. J. Kuijlaars, A.P. Starovoitov, obtained for the case, where the – different real numbers.
Keywords: Hermite integrals, Hermite – Pade polynomials, Hermite – Pade approximations, asymptotic equality.
M.V. Sidortsov – F. Sñorina Gomel State University
N.A. Starovoitova – F. Sñorina Gomel State University
A.P. Starovoitov – F. Sñorina Gomel State University
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TECHNICS
Beytuk Yu.R., Sebrovskaya G.P., Ramazanov V.M. Emulation software of PCcompatible controller ADAM 5510M for the compiler Borland Turbo C ++ 3.0
The structure of the software emulator of PCcompatible controller ADAM 5510M modules with digital and analog IO ADAM 5050, ADAM 5017, ADAM 5024. The implementation of a parser for the Borland Turbo C ++ 3.0 with the ability to use language and custom library functions Advantech is considered. An example of using the emulator to create a virtual stand equipment XY stepper drive are given.
Keywords: PCcompatible controller ADAM 5510M, software emulator, parser Turbo C ++ code, simulation of IO modules ADAM 5050, ADAM 5017, ADAM 5024.
Yu.R. Beytuk – Y. Kupala Grodno State University
G.P. Sebrovskaya – Y. Kupala Grodno State University
V.M. Ramazanov – Y. Kupala Grodno State University
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Golovnich A.K. Modeling condition of objects of the technical system with the reconstruction of physical processes
Ability to develop models of dynamic processes of real technical systems with reproducing the physical effects of the interaction of objects is justified. The results of states calculations are presented in the form of 3D objects. Model reconstruction of physical processes with the 3D image will allow solving many practical problems on a new level of quality. Virtual simulation can replace complex and expensive field tests.
Keywords: modeling, technical systems, interaction bodies physical processes.
A.K. Golovnich – Belarusian State University of Transport, Gomel
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