This paper presents the results of the study of physical and mechanical properties of the Zn-Ni alloy coatings modified by X-ray radiation. Non-monotonic dependence of the mechanical characteristics of coatings on the acidity of electrolyte used for deposition of Zn-Ni alloys was found. It was established that the effect of X-rays leads to the increase of microhardness and to the decrease of the coefficient of friction of the coatings deposited from neutral and weakly acidic electrolytes. The inverse relationship for the coatings deposited from acidic electrolyte was observed.

Keywords: alloy, X-radiation, microhardness, friction coefficient, elemental composition.

V.M. Anishchik – Belarussian State University, Minsk, Belarus

N.G. Valko – Y. Kupala Grodno State University, Grodno, Belarus

N.I. Poliak – Belarussian State University, Minsk , Belarus

V.V. Vojna – Y. Kupala Grodno State University, Grodno, Belarus

The formalism for the description of the vector paraxial light beams to the beams with nonhomogeneous polarization is propagated. Simple expressions for polarization and energy flux density of electromagnetic field of the vector light beams with nonhomogeneous polarization of various types were discovered. New types of the vector paraxial light beams are featured. It is proved, that if any paraxial light beam with the nonhomogeneous polarization is spread out into two coherent circular polarized beams and the former are spread independently, then their streams of energy are parted and they are independent.

Keywords: paraxial beams, vector beams, light beams, polarizable properties, energy properties, nonhomogeneous polarization.

S.S. Girgel – Department of Physics, F. Skorina Gomel State University, Gomel, Belarus

Acousto-optical transformation of linearly polarized (LP_0m) modes of fiber-optic waveguides placed into external electrical field and made from the material in which it is possible to achieve transverse electro-optical effect is investigated. The possibility of simultaneous acousto- and electro-optical polarization-independent light modulation by the longitudinal acoustic mode L₀₁ of a cylindrical waveguide is shown. The possibility of the application of the acousto-optical transformation of such a mode transformation with indicated proper-ties for construction of tunable acousto-optical filters is stated.

Keywords: optical fibers, acousto-optical interaction, electro-optical effect, light modulation.

G.V. Kulak – I.P. Shamyakin Mozyr State Pedagogical University, Mozyr, Belarus

A.E. Anisimova – I.P. Shamyakin Mozyr State Pedagogical University, Mozyr, Belarus

Photoacoustic transformation in the gyrotropic two-layer medium under the tunnel electromagnetic interference has been studied in the work. The effect of full suppression of photoacoustic signal amplitude depending on the intensiveness of opposite-interactive waves, phase difference and modulation frequency has been revealed. The method of the amplitude-phase characteristics control of the photoacoustic signal has been proposed.

Keywords: photoacoustic effect, tunnel electromagnetic interference, gyrotropy, circularly dichroism, heat conduction equation, photoacoustic signal amplitude, photoacoustic cell.

G.S. Mityurich – Belarusian Trade and Economics University of Consumer Cooperatives, Gomel, Belarus

V.V. Sviridova – Department of Physics, F. Skorina Gomel State University, Gomel, Belarus

A.N. Serdyukov – Department of Physics, F. Skorina Gomel State University, Gomel, Belarus

The possibility of exclusion of the influence of a natural surface layer is investigated at determination by the method of spectral ellip-sometry dependencies and for a semiconductor substrate. It is shown that in the solution of the inverse ellipsometric problems a simple model of the transition layer with a single parameter which is determined by the thickness and refractive index of the layer can be used.

Keywords: spectral ellipsometry, surface layer, optical model, dispersion of optical characteristics.

N.I. Stas’kov – Mogilev State A. Kuleshov University, Mogilev, Belarus

I.V. Ivashkevich – Mogilev State A. Kuleshov University, Mogilev, Belarus

A.B. Sotski – Mogilev State A. Kuleshov University, Mogilev, Belarus

L.I. Sotskaya – Belarusian-Russian University, Mogilev, Belarus

The possibility of hysteresis behaviour of nonlinear and spectral dependences of thin boundary film resonant reflection is theoretically defined under conditions of light field spectrum linewidth broadening and unhomogenious broadening of absorption resonance. The problem is considered for parameters of planar thin layers on the basis of quantum-well semiconductor structures.

Keywords: light field spectrum linewidth broadening, optical hysteresis, submicronic semiconductor films.

E.V. Timoschenko – Mogilev State A. Kuleshov University, Mogilev, Belarus

V.A. Yurevich – Mogilev State University of Food Technologies, Mogilev, Belarus

Yu.V. Yurevich – Mogilev State University of Food Technologies, Mogilev, Belarus

Here we will briefly describe a new ion storage device currently under construction at Stockholm University, Sweden. This device uses purely electrostatic focussing and deflection elements and allows ion beams of opposite charge to be confined under extreme high vac-uum and cryogenic conditions in separate “rings” and then merged over a common straight section. This Double ElectroStatic Ion Ring ExpEriment (DESIREE) apparatus allows studies of interactions between cations and anions at low and well-defined centre-of-mass energies, and we will finish the paper by discussing an example of such potential research. A complete technical review of this facility has been recently published.

Keywords: Storage ring, cations, anions, merged beams reactions, cryogenic temperatures, mutual neutralisation reactions.

R.D. Thomas – Department of Physics, Stockholm University, SE-106 91 Stockholm, Sweden

H.T. Schmidt – Department of Physics, Stockholm University, SE-106 91 Stockholm, Sweden

G. Andler – Department of Physics, Stockholm University, SE-106 91 Stockholm, Sweden

M. Björkhage – Department of Physics, Stockholm University, SE-106 91 Stockholm, Sweden

M. Blom – Department of Physics, Stockholm University, SE-106 91 Stockholm, Sweden

L. Brännholm – Department of Physics, Stockholm University, SE-106 91 Stockholm, Sweden

E. Bäckström – Department of Physics, Stockholm University, SE-106 91 Stockholm, Sweden

H. Danared – Department of Physics, Stockholm University, SE-106 91 Stockholm, Sweden

S. Das – Department of Physics, Stockholm University, SE-106 91 Stockholm, Sweden

N. Haag – Department of Physics, Stockholm University, SE-106 91 Stockholm, Sweden

P. Halldén – Department of Physics, Stockholm University, SE-106 91 Stockholm, Sweden

F. Hellberg – Department of Physics, Stockholm University, SE-106 91 Stockholm, Sweden

A.I.S. Holm – Department of Physics, Stockholm University, SE-106 91 Stockholm, Sweden

H.A.B. Johansson – Department of Physics, Stockholm University, SE-106 91 Stockholm, Sweden

A. Källberg – Department of Physics, Stockholm University, SE-106 91 Stockholm, Sweden

G. Källersjö – Department of Physics, Stockholm University, SE-106 91 Stockholm, Sweden

M. Larsson – Department of Physics, Stockholm University, SE-106 91 Stockholm, Sweden

S. Leontein – Department of Physics, Stockholm University, SE-106 91 Stockholm, Sweden

L. Liljeby – Department of Physics, Stockholm University, SE-106 91 Stockholm, Sweden

P. Löfgren – Department of Physics, Stockholm University, SE-106 91 Stockholm, Sweden

B. Malm – Department of Physics, Stockholm University, SE-106 91 Stockholm, Sweden

S. Mannervik – Department of Physics, Stockholm University, SE-106 91 Stockholm, Sweden

M. Masuda – Department of Physics, Stockholm University, SE-106 91 Stockholm, Sweden

D. Misra – Department of Physics, Stockholm University, SE-106 91 Stockholm, Sweden

A. Orbán – Department of Physics, Stockholm University, SE-106 91 Stockholm, Sweden

A. Paál – Department of Physics, Stockholm University, SE-106 91 Stockholm, Sweden

P. Reinhed – Department of Physics, Stockholm University, SE-106 91 Stockholm, Sweden

K.-G. Rensfelt – Department of Physics, Stockholm University, SE-106 91 Stockholm, Sweden

S. Rosén – Department of Physics, Stockholm University, SE-106 91 Stockholm, Sweden

K. Schmidt – Department of Physics, Stockholm University, SE-106 91 Stockholm, Sweden

F. Seitz – Department of Physics, Stockholm University, SE-106 91 Stockholm, Sweden

A. Simonsson – Department of Physics, Stockholm University, SE-106 91 Stockholm, Sweden

J. Weimer – Department of Physics, Stockholm University, SE-106 91 Stockholm, Sweden

H. Zettergren – Department of Physics, Stockholm University, SE-106 91 Stockholm, Sweden

H. Cederquist – Department of Physics, Stockholm University, SE-106 91 Stockholm, Sweden

Spectroscopic analysis of the near-surface laser plasma emerging close to a surface of the cellular body which is affected by serial double powerful laser pulses and contains micro quantities of sodium and ammonium polyuranates has been conducted. As a result, it is shown that the intensity of uranium lines in spectra is proportional to the component amount in plasma and it depends essentially on the physicochemical properties of uranium compounds. It is revealed that the line intensity increases several times with practically the same gain of the enthalpy of compounds formation. Requirements of the influence of laser parameters and processes in plasma and cellular body volume over the formation of certain ionic, atomic and molecular structure of plasma and uranium oxides in the cellular body have been defined.

Keywords: atomic spectral analysis, uranium oxides, polyuranates, line intensity, cellular body, enthalpy of formation.

D.S. Umreiko – A.N. Sevchenko Institute of Applied Physics Problems, Minsk, Belarus

A.A. Zazhogin – Belarus State University, Minsk, Belarus

A.I. Komyak – Belarus State University, Minsk, Belarus

S.D. Umreiko – A.N. Sevchenko Institute of Applied Physics Problems, Minsk, Belarus

Four-loop QCD analysis of the Gross–Llewellyn Smith sum rule was performed. The extraction of the twist-4 term from the experimental data and comparison with the corresponding results obtained from the Bjorken sum rules was made. It is shown that within the error the value of the twist-4 term in the Gross–Llewellyn Smith sum rule differs from the corresponding value extracted from the Bjorken sum rule.

Keywords: deep-inelastic lepton-hadron scattering, Gross–Llevellyn Smith sum rule, perturbative theory, higher twists, quantum chromodinamics (QCD).

V.L. Khandramai – International Center for Advanced Studies, P.O. Sukhoi Gomel State Techni-cal University, Gomel, Belarus

O.P. Solovtsova – International Center for Advanced Studies, P.O. Sukhoi Gomel State Technical University, Gomel, Belarus

V.G. Teplyakov – International Center for Advanced Studies, P.O. Sukhoi Gomel State Technical University, Gomel, Belarus

The paper contains a review of papers on the effect of external electromagnetic fields upon the human organism. Possible mechanisms of such influence are explained on the basis of interaction between external electromagnetic field and human biofield. The attention is accented on the characteristics of the fields which are created by a human body. In particular, the following characteristics are considered: biomagnetism of man’s organs and the effect of exposure to the weak low-frequency and permanent magnetic fields, as well as the bioelectret phenomenon whose main feature is generation of the quasiconstant electric field that influences both on biochemical and structural processes in the cells. Some examples of simulating biophysical properties of the living tissues using synthetic polymer materials employed in medical appliances are presented.

Keywords: electromagnetic field, biofield, biomagnetism, bioelectric åffect, biofield modeling.

Å.À. Tsvetkova – V.A. Belyi Metal-Polymer Research Institute of NASB, Gomel, Belarus

V.A. Goldade – V.A. Belyi Metal-Polymer Research Institute of NASB, Gomel, Belarus

The calculations of the inhomogeneous relativistic traveling-wave tube with O-type slow-wave system such as a circular waveguide with a comb smoothly varying depth grooves were performed.

Keywords: traveling wave tube (TWT), slow-wave structure, microwave, optimization, efficiency.

I.N. Tsyrelchuk – Belarusian State University of Informatics and Radioelectronics, Minsk, Belarus

D.N. Mikhailovsky – Belarusian State University of Informatics and Radioelectronics, Minsk, Belarus

V.B. Bulycheva – Belarusian State University of Informatics and Radioelectronics, Minsk, Belarus

Within the frames of the nonlinear resonant model the analysis of radiation processes stability in semiconductor laser quantum-well structures has been conducted. At the account of light field spectrum linewidth broadening and near dipole interaction factor in condition of unhomogenious broadening of gain resonance the possibility of the arising of output self-oscillatory mode is theoretically predicted.

Keywords: resonance interaction, light field spectrum linewidth broadening, self-sustained pulses of light intensity.

V.A. Yurevich – Mogilev State University of Food Technologies, Mogilev, Belarus

E.V. Timoschenko – Mogilev State A. Kuleshov University, Mogilev, Belarus

Yu.V. Yurevich –Mogilev State University of Food Technologies, Mogilev, Belarus

In the paper analogues of the known in the theory of Fitting classes operators and the Lockett sections on the set of Fitting -functors ( is some non-empty Fitting class) are defined. By the Lockett section of a conjugate Fitting -functor f we mean the set Locksec(f) = {g: g is a conjugate Fitting -functor and }. It is proved that the Lockett section of a conjugate Fitting -functor contains the largest element. Besides we describe conditions under which the Lockett section contains the smallest element.

Keywords: Lockett's operation, Lockett section, Fitting -functor.

E.A. Vitko – P.M. Masherov Vitebsk State University, Vitebsk, Belarus

The properties of vector-matrices and spacematrices are studied in this paper.

Keywords: matrice, vector-matrice, spacematrice, semigroup, group, ring, n-ary group.

A.M. Gal’mak – Department of Economic, Mogilev State University of Food Technologies, Mogilev, Belarus

Let M be a subgroup of a finite group G and is the largest normal subgroup of G contained in M. We determine the structure of the finite group G if G possesses a maximal subgroup M with and all maximal subgroups H of G with satisfy certain properties.

Keywords: finite group, solvable group, maximal subgroup.

I.V. Lemeshev – Department of Mathematics, F. Skorina Gomel State University, Gomel, Belarus

V.S. Monakhov – Department of Mathematics, F. Skorina Gomel State University, Gomel, Belarus

The set of nonlinear differential systems with a linear reflecting function was constructed. The set of periodic solutions of such systems was investigated.

Keywords: differential system, reflecting function.

S.V. Mayorauskaya – Belarus State Economic University, Minsk, Belarus

In this paper new criteria of p-supersolubility of finite groups are given.

Keywords: finite group, -subgroup, p-soluble group, p-supersoluble group, meet-irreducible subgroup.

V.N. Rizhik – Bryansk Agricultural Academy, Kokino, Russia

We study the asymptotic properties of diagonal Pade–Hermite approximants for a system consisting of functions In particular, we determine the asymptotic behavior of the differences for and for any complex number z. The obtained results supplement research of Pade, Perron, Braess and A.I. Aptekarev dealing with the study of the convergence of joint Pade approximants for systems of exponents.

Keywords: perfect system of functions, joint Pade approximant, Pade-Hermite approximants, asymptotic equality, Hermite integrals.

N.V. Rjabchenko – Department of Mathematics, F. Skorina Gomel State University, Gomel, Belarus

A.P. Starovoitov – Department of Mathematics, F. Skorina Gomel State University, Gomel, Belarus

G.N. Kazimirov – Department of Mathematics, F. Skorina Gomel State University, Gomel, Belarus

All groups considered are finite. The product of the formations and is the class Let where is a hereditary one-generated -saturated formation and , be two non-identity formations. Suppose that is a solubly -saturated formation. If , then

Keywords: one-generated hereditary -saturated formation, product of some formations, minimal -local satellite.

V.M. Selkin – Department of Mathematics, F. Skorina Gomel State University, Gomel, Belarus

The efficiency of time-frequency method in informative qualitative and quantitative estimation of human neuromuscular system functional condition has been proved by researches with the help of normal and pathologic global electromyogram processed by the method of time-frequency transformation. The regularities of frequency parameters of normal and pathologic electromyogram signals are established. The numerical criterion for estimation of human neuromuscular system functional condition is offered. The results of this work is of great interest for developers of the electromyography systems.

Keywords: electromyography, global electromyogram, neuromuscular system, non-stationary system, biomedical signal, short-time Fourier transformation, time-frequency analysis, spectrogram.

M.M. Mezhennaya – Belarusian State University of Informatics and Radioelectronics, Minsk, Belarus

A.N. Osipov – Belarusian State University of Informatics and Radioelectronics, Minsk, Belarus

I.A. Ilyasevich – Republican Academic and Research Center of Traumatic Surgery and Orthopedics, Minsk, Belarus

N.S. Davydova – Belarusian State University of Informatics and Radioelectronics, Minsk, Belarus

M.V. Davydov – Belarusian State University of Informatics and Radioelectronics, Minsk, Belarus

V.A. Kulchitsky – Institute of Physiology of National Academy of Science of Belarus, Minsk, Belarus