2016 / 6
XV All-Russian school-seminar («Waves 2016»)
R e g u l a r p a p e r s
Acoustoelectronics and acousto-optics
P.A. Nikitin, V.B. Voloshinov
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A theory of acousto–optic interaction (AOI) in anisotropic medium, taking into account absorption of electromagnetic waves
and attenuation of acoustic waves, has been developed. Expressions for optimal length and bandwidth of the AOI were derived.
A non–reciprocal effect inherent only in the backward collinear diffraction was discovered. Hide Abstract
P.A. Nikitin
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A method to determine optimal values of acousto-optic (АО) figure of merit was developed. Its advantages are clarity and high
performance. Results can be used for development high-efficient AO devices based on optically isotropic media. Hide Abstract
Acoustics of inhomogeneous media
Y. S. Andriyakhina, I.V. Sinilschikov, P.V. Yuldashev, V. A. Khokhlova
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In this paper different criteria of thermal ablation induced by high intensity focused ultrasound in clinically significant volumes
of biological tissue were compared. Sonications using a multi-element ultrasound array and various nonlinear focusing regimes
were considered in numerical experiment. Sonication of tissue was maintained until thermal dose reached a threshold value at the
circle of a certain radius. The threshold temperature was chosen so that the sonication stopped at the same time when using the
criteria of temperature or dose. Threshold temperatures equivalent to the thermal dose threshold achieved at the end of the heating
were obtained. Volumes of thermal lesions in tissue were calculated using both the criteria of thermal dose and temperature. It was
shown that the use of the threshold temperature criterion corresponded with good accuracy to the thermal dose criterion in case of
the uniform heating of the tissue volume. Hide Abstract
I. S. Mezdrokhin, P.V. Yuldashev, V. A. Khokhlova
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A numerical algorithm for calculating ultrasound fields radiated from axially symmetric focused sources was developed on the
basis of a wide-angle parabolic approximation of the Helmholtz equation. A numerical solution for the field of an axially symmetric
spherical radiator with an aperture of a = 5cm, focal length F = 9cm, and the frequency f = 1MHz was obtained. The solution
was compared to those obtained using the full diffraction formulation and with conventional parabolic equation. The results showed
that the relative error in pressure amplitude at the focus was 1–2% for a wide-angle parabolic approximation and 10–12% for the
conventional parabolic approximation comparing to the exact Rayleigh integral solution. Calculation time for a wide-angle model
was comparable to conventional parabolic model, and was an order of magnitude less than calculating the exact solution using the
Rayleigh integral. Hide Abstract
K.V. Dmitriev, A. S. Lipavskiy, I.A. Pankov, S.N.Sergeev, E.A. Fadeev
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The experiment of the sound propagation in a shallow pond in a natural environment was made. The pond surface was covered
with a layer of ice. The signals were recorded synchronously by the system of four vertical antennas located at different distances
from the source. The waves propagating in the water layer and in the pond bottom were detected and its velocities were obtained. Hide Abstract
D. A. Presnov$^1$, R.A.Zhostkov$^1$, A.S. Shurup$^{1,2}$, A.L. Sobisevich$^1$, D.V. Likhodeev$^1$, D.E. Beloborodov$^1$, F.V. Perederin$^1$
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One of the information sources about physical properties of the inhomogeneous medium is a dispersion of surface wave velocity,
which amplitude decays exponentially at a depth about the wavelength. In the case of shallow water for the characteristics of
the deep bottom recovery the registration of the «bottom» wave propagating along the boundary «elastic bottom–water layer»
is required. For this wave registration usually ocean bottom systems are used. The experimental data are accumulated in the
memory card that is removed after the measurement with the sensor, or data is transmitted through the satellite transceiver to
surface communication channels. In the case of sea covered with ice use of these systems significantly hampered. This paper, based
on experimental data shows that the time-frequency analysis of the cross-correlation function of signals, recorded by wideband
sensors located on the surface of the ice, allows you to select in the received signal information on the propagation time of the
waves between the bottom sensors. The obtained result allows speaking about the possibility of constructing of a sounding of deep
inhomogeneous structures in the presence of ice cover with significantly reduced requirements on the practical implementation of
this approach. Hide Abstract
A.A. Belous, A.V.Shanin, A.I. Korolkov
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Two commercial sound absorbing materials and also a material made of thin tubes absorbing sound due to viscosity are studied
using a simple method of acoustical interferometer and a theoretical description of these materials is also made. Hide Abstract
D.I. Zotov, O.D. Rumyantseva, A. S. Shurup
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Results of numerical modeling the functional algorithm are presented, which allows to reconstruct acoustic inhomogeneities with
scalar and vector constituents. The resulting functional solution of the inverse problem is mathematically rigorous for a wide range
of scatterers. On the other hand, the reconstruction results for the vector of flow currents are presented which were obtained from
experimental data measured by the ultrasonic tomograph. These data are processed by the weighted additive accumulation followed
by a space–correlation comparison of image fragments. Hide Abstract
Hydrodynamic waves and flows
E.А. Rouvinskaya, O.E. Kurkina, A.A. Kurkin, A.R. Giniyatullin
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The purpose of this study is to investigate the possible mechanisms of extreme waves’ generation during degeneration of long
sinusoidal (tidal) waves in the framework of the Gardner equation. A statistical analysis of the solitons ensemble formed during
the evolution of the undular bore in various possible environmental conditions is done. Hide Abstract
E.А. Rouvinskaya, O.E. Kurkina, A.A. Kurkin, A.R. Giniyatullin
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We study some peculiarities of the small dispersion limit for the Gardner equation with positive and negative sign of cubic
nonlinear term and positive quadratic nonlinear term by numerical modeling of evolution of long bell–shaped pulse with a polarity,
opposite to the sign of the quadratic nonlinearity. A statistical and spectral analysis of wave fields is carried out. Hide Abstract
A.V. Kondratieva, D. F. Belonozhko
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The wave motion into two-layer conducting liquid with insoluble film of surfactant on the upper electrically charged surface has
been investigated. The role of surfactant and charge and also variation of interfacial tension at different mode of wave motion have
been considered. Mutual influence of different effects has been analyzed. Hide Abstract
D. F. Belonozhko, A. A. Otchirov
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There are behavior of liquid particles of two immiscible moving fluids is considered. Curious patterns of liquid particles motion
are discovered. It is shown that the character of the individual fluid particle motion significant depends on the relative velocity of
the contact fluids. Hide Abstract
B. I. Samolyubov, I.N. Ivanova
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The work investigates the mechanisms of influence of internal waves on the transport of chlorophyll-a. Revealed the structure of
the velocity field in the presence of internal waves interacting with the jet at the thermocline, the drift current and density flow.
The regularities of influence of internal waves on the distribution of chlorophyll-a. The resulting dependence of the concentration
of chlorophyll-a in an active layer of the height of the internal wave. Discovered and are presented analytically the dependence of
the concentration of chlorophyll-a from the phase velocity of the internal wave and the concentration of suspended solids. Hide Abstract
Nonlinear dynamics and information processing systems
A.V. Andreev$^{1,2}$, O.I. Moskalenko$^{1,2}$, A.A. Koronovskii$^{1,2}$, A.E. Khramov$^{1,2}$
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The nonlinear dynamic and chaos in the system of Rydberg atom chain is studied. Chaotic dynamics is revealed. The method for
suppression of chaos by external parametric impact in the system is offered. Hide Abstract
M.O. Zhuravlev$^{1,2}$, A. A. Koronovskii$^{1,2}$, V.A. Makarov$^{3}$, O.I. Moskalenko$^{1,2}$, A. E. Hramov$^{1,2}$
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We have studied the electrical activity observed in left and right hippocampuses of rats being under anaesthesia by means
of continuous wavelet transform with complex basis. We have obtained the distributions of lengths of the synchronous behavior
between generators of local field potentials in right and left parts of hypothalamus of rodents. Hide Abstract
V.A. Maksimenko$^1$, M.V. Goremyko$^{1,2}$, V. V. Makarov$^1$, A.E. Hramov$^1$, D. Ghosh$^3$, B.K. Bera$^3$ and S.K.
Dana$^4$
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In this paper, we consider the interaction between the ensembles of nonlinear elements, demonstrated both the chimera state and
coherent or incoherent state, in the framework of a multilayer network model. We show that the interaction between a layer, which
demonstrates chimera state, and the layer of completely coherent or incoherent oscillators, leads in case of the weak interlayer
coupling, to the suppression of chimera and transition to the coherent or incoherent state, and in case of the strong interlayer
coupling - to the excitation of chimera state from both coherent or incoherent oscillators. Hide Abstract
V.V. Makarov$^1$, V.A. Maksimenko$^1$, A. A. Koronovskii$^2$, A.G. Balanov$^3$, A.E. Hramov$^1$
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In this paper we study the interaction between semiconductor superlattices, working in the non-stationary charge transport
regime, and coupled via the quality resonant circuit. We found that the connection of the second superlattice significantly affects
the amplitude-frequency characteristics of the system, the areas of chaotic generation are discovered. Hide Abstract
V.O. Martynov, V.A. Mironov, L.A. Smirnov
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In this paper, the process of formation of high-temperature entangled states in a system of two coupled quantum parametric
oscillators with a partially coherent pumping is considered. It is shown that the presence of noise in the pump has a significant
impact on the dynamics of the system. It imposes a limit on the temperature at which the entangled states are formed, determines
the lifetime of entanglement in the system Hide Abstract
A.E. Runnova$^{1,2}$, V.V. Grubov$^1$, М.О. Zhuravlev$^{1,2}$, М.К. Kurovskaya$^{2}$
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Neurocognitive experimental works have been carried out. We construct one-dimensional theoretical model depended on the
objective ambiguous parameter (intensity of Necker cube face). This model is demonstrated its good agreement with experimental
results. In addition, on the basis of registered volunteers EEG data evaluation were conducted and the parallels between the
theoretical models and objective data registered in the course of psychological experiments on the perception of ambiguous images. Hide Abstract
A. G. Balanov$^{1,3}$, А. А. Koronovskii$^{1,2}$, O. I. Moskalenko$^{1,2}$, A.O. Selskii$^{1,2}$, A.E. Hramov$^{1,2}$,
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The semiconductor superlattice is a compound nanostructures is consist on the several thin layers of different semiconductor
materials, that can be used for generation and control of the high-frequency oscillations. At the last time to be of interest the
investigation of this structure in the context of the nonlinear dynamics. In this work we consider changes of the electron dynamic
is defined the current characterizations for different shape of the perturbation of the doping concentration. Hide Abstract
Spintronics and magnonics
A. A. Grachev, A.V. Sadovnokov, E.N. Beginin
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In this paper we consider two laterally coupled YIG waveguide with ferroelectric load. The possibility of dual control of coupling
length in the structure was shown. Hide Abstract
A. A. Grachev, A.V. Sadovnokov, E.N. Beginin
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This report shows the results of investigation of the spin-waves discrete diffraction in the laterally coupled planar YIG waveguide
array by numerical analysis and Brillouin light scattering (BLS) spectroscopy. Hide Abstract
S. A. Odintsov, A.V. Sadovnikov, E.N. Beginin
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In this paper we consider a structure consisting of two laterally related YIG–waveguide, which can be used as basic elements to
create a variety of functional devices magnetoelectronic: waveguides, filters, couplers. Hide Abstract
Mathematical modelling in radiophysics and optics
L.V. Borodachev
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The approach to parallel implementation of low-frequency PIC–algorithms is proposed, taking into account peculiarity of the
nonradiative (Darwin, magnetoinduction) field approximation. Its advantages and possible constrains. Hide Abstract
P.V. Korolenko$^{1,2}$, A.A. Krasulin$^1$, A.Yu. Mishin$^1$, R.T. Kubanov$^1$
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The possibilities and features of the some methods of calculation of the scaling characteristics of radiation interacting with
objects, which have obvious and hidden fractal characteristics, are analyzed. The data on the relationship of the scaling parameters
of objects and probing beams are presented. Hide Abstract
E.N. Terentiev$^1$, N.E. Terentiev$^2$
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In the simulation of physical processes and phenomena in radio physics, optics, we propose to use Finite Sampling Theorem
(FST) instead theorem of Wiener–Kotelnikov and methods based on the difference schemes. FST operations are compatible with
the convolution, analytical calculations, estimation of multiple integrals. Hide Abstract
V.M. Shakhparonov, D.A. Samsonov
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Modeling of the torsion system by parameters of the suspension wire and the spherical mass on it is carried out. The viscous
air friction limits the possibilities of the method. Maximum Q–factor is limited by internal friction in the wire is determined. Hide Abstract
I.V. Lopushenko
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The solution to a diffraction problem of the linearly polarized wave by the flat nanoscaled particle in the medium with a substrate
is constructed on the basis of the modified discrete sources method hybrid scheme. The possibility of applying the developed
approach to study resonant properties of plasmonic nanoparticles is considered. Hide Abstract
A. I. Erokhin, I.E. Mogilevsky, V.E. Rodyakin, V.M. Pikunov
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Mathematical model for rectangular waveguide with impedance wall on which impedance Schukin–Leontovich boundary
conditions are implemented is considered. Using these boundary conditions complete electromagnetic field in the waveguide is
not divided into TE and TM fields and hybrids modes have to be taken into account. A new basis to represent components of
complete electromagnetic field of a rectangular waveguide is suggested using witch impedance boundary conditions are satisfied
exactly. Stiff system ODEs for amplitudes of this representation is a result. Hide Abstract