Badiey M., Lynch J., Кацнельсон Б.Г., Пересёлков С.А. «Флуктуации звукового поля, вызванные внутренними волнами на океаническом шельфе. Теория и эксперимент (SWARM'95)» Доклады 10 научной школы-семинара академика Л. М. Бреховских "Акустика океана", совмещенной с 14 сессией Российского акустического общества, с. 11 (2004)

Badiey M., Григорьев В.А., Кацнельсон Б.Г., Линч Дж. «Временные флуктуации звукового поля, обусловленные взаимодействием мод в мелком море в присутствие внутренних волн» Доклады XI научной школы-семинара академика Л. М. Бреховских "Акустика океана", совмещенной с 17 сессией Российского акустического общества, с. 27 (2006)

Григорьев В.А., Кацнельсон Б.Г., Badiey M., Lynch J. «Акустические эффекты, обусловленные взаимодействием мод при распространении звука в мелком море в присутствие внутренних солитонов» Акустические измерения и стандартизация. Электроакустика. Ультразвук и ультразвуковые технологии. Атмосферная акустика. Акустика океана. Сборник трудов 19 сессии Российского акустического общества. Т. 2., с. 183 (2007)

Tournat V., Gusev V.E., Zaitsev V.Yu., Nazarov V.E., Castagnede B., Bequin Ph., Inserra C. «Nonlinear acoustic effects in unconsolidated granular media» High intensity acoustic waves in modern technological and medical applications. Joint Workshop of Russian Acoustical Society (RAS) and French Acoustical Society (SFA). Special Session of the XVI Meeting of Russian Acoustical Society (Moscow. 14–18 November 2005), с. 86-92 (2005)

This paper deals with various manifestations of classical and non classical nonlinear acoustic effects that have been observed recently in unconsolidated assemblages of glass beads: operation of the parametric antenna with shear pump waves, non monotonous amplitude dynamics of the longitudinal second harmonic generated from a shear fundamental wave, cross-modulation of propagating waves. Theoretical interpretations of each of these non linear effects demonstrate the important role of the so-called weak contacts, i.e. contacts that support weaker static loads than the average one in the medium. In contrast, the linear wave propagation is mainly affected by the average and strong contacts. As a consequence, nonlinear acoustic methods are found to be much more sensitive than the linear methods for the evaluation of the granular materials in general, and may contribute to a better understanding of their peculiar properties.

Blanc-Benon P., Marx D. «Nonlinear effects in a standing wave thermoacoustics refrigerator» High intensity acoustic waves in modern technological and medical applications. Joint Workshop of Russian Acoustical Society (RAS) and French Acoustical Society (SFA). Special Session of the XVI Meeting of Russian Acoustical Society (Moscow. 14–18 November 2005), с. 57-65 (2005)

In thermoacoustic refrigerators, the acoustic energy provided by an acoustic source is used to pump heat from a cold reservoir. Such refrigerators may possibly be miniaturized, offering an application to microelectronic refrigeration. The knowledge of temperature and flow fields in the microchannels and at the edges of the stack plates becomes an increasingly important issue in the design of heat exchangers for thermoacoustic engines. On these topics we have developed numerical simulations and conducted experiments in a resonant standing wave thermoacoustic refrigerator model. In this paper the full compressible Navier–Stokes equations are solved numerically, and the flow and heat transfer around a 2-D stack plate immerged in an acoustic standing wave are computed. Non-harmonic temperature variations are found and are explained using the results of a former nonlinear analysis. The effects of the acoustic Mach number and geometrical parameters on refrigerator performance are investigated.

Khokhlova V.A., Blanc-Benon P., Averiyanov M.V., Cleveland R.O. «Diffraction of nonlinear waves in randomly inhomogeneous moving media» High intensity acoustic waves in modern technological and medical applications. Joint Workshop of Russian Acoustical Society (RAS) and French Acoustical Society (SFA). Special Session of the XVI Meeting of Russian Acoustical Society (Moscow. 14–18 November 2005), с. 41-47 (2005)

The combined effects of acoustic nonlinearity and diffraction on the propagation of intense acoustic waves in an inhomogeneous moving medium are investigated Л nonlinear parabolic equation that accounts for diffraction, nonlinearity, absorption, scalar inhomogeneities (density and sound speed) and vectorial inhomogeneities (flaw) is employed, A 2D numerical algorithm is used to solve the equation and to investigate the propagation of initially harmonic waves in media with random inhomogeneities of different types. The results are compared with those obtained using ray theory (within the paradigm of nonlinear geometrical acoustics) in order to investigate the impact of diffraction on focusing in inhomogeneous media. It is shown that the prediction of caustics and shadow zones by nonlinear geometrical acoustics only partially corresponds to the regions of high and low pressure levels predicted with the nonlinear parabolic wave equation. The discrepancy between the results of the models increases for smaller size of inhomogeneities and for longer distances in randomly inhomogeneous media. When nonlinearity is present distorted waveforms are obtained in the diffraction field even in the shadow zones of decreased pressure due to scattering of higher frequencies from the areas of focusing.

Барышников С.В., Борисов Б.Ф., Гартвик А.В., Горчаков А.Г., Камзолова Т.Ф., Чарная Е.В., Bohlmann W., Michel D. «Акустические исследования плавления и кристаллизации нанокристаллов nano₂ в порах матрицы МСМ 41» Акустические измерения и стандартизация. Электроакустика. Ультразвук и ультразвуковые технологии. Атмосферная акустика. Акустика океана. Сборник трудов 18 сессии Российского акустического общества. Т. 2, с. 66 (2006)

Барышников С.В., Борисов Б.Ф., Гартвик А.В., Горчаков А.Г., Чарная Е.В., Bohlmann W., Michel D. «Исследования плавления и кристаллизации наночатиц нитрита натрия в порах мезопористых силикатных матриц акустическим методом» Акустические измерения и стандартизация. Электроакустика. Ультразвук и ультразвуковые технологии. Атмосферная акустика. Акустика океана. Сборник трудов 19 сессии Российского акустического общества. Т. 2., с. 115 (2007)

Bou Matar O., Preobrazhensky V., Pernod P. «2D axisymmetric pseudospectral simulation of supercritical phase conjugation of ultrasound in active solid media» High intensity acoustic waves in modern technological and medical applications. Joint Workshop of Russian Acoustical Society (RAS) and French Acoustical Society (SFA). Special Session of the XVI Meeting of Russian Acoustical Society (Moscow. 14–18 November 2005), с. 48-56 (2005)

The problem of supercritical wave phase conjugation (WPC) has no analytical solution far geometry and operation conditions of real conjugators. Hence, to study the influence of reverberations and multiple mode conversions inside the active element of the conjugator on the parametric WPC processus, a 2D axisymmetric numerical modal in developed for supercritical parametric phase conjugation of ultrasound in a solid active element of cylindrical shape and finite length immersed in water. The pseudo-spectral time domain algorithm (PSTD) is used. PSTD solves elastic wave equation in time dependent heterogeneous isotropic and axisymmetric anisotropic solids using FFTs for high order approximation of the spatial differential operator an staggered grid. Complex frequency shifted perfectly matched layers are introduced to truncate the computational domain. It is shown, that retro-focusing of the incident pulse taken place even in the case of mode conversions inside the active zone. Nevertheless, amplitude and form of the obtained conjugate pulse depend on the simulated configuration. Numerical simulation correctly describes the parametric amplification and retro-focusing of ultrasound observed in experiments, when the conjugator is loaded at one end by water, and is free on the opposite one.

Goursolle T., Dos Santos S., Vander Meulen F., Haumesser L., Bou Matar O. «Ultrasonic parametric imaging of metallic samples using nonlinear acoustic measurements» High intensity acoustic waves in modern technological and medical applications. Joint Workshop of Russian Acoustical Society (RAS) and French Acoustical Society (SFA). Special Session of the XVI Meeting of Russian Acoustical Society (Moscow. 14–18 November 2005), с. 120-128 (2005)

A calibrated contact phase modulation method [Vila M., Vander Meulen F., Dos Santos S., Haumesser L. and Bou Matar O. Contact phase modulation method for acoustic nonlinear parameter measurement in solid // Ultrasonics 2004, V.42(1-9) P.1061–1065] have been developed in the laboratory. Nonlinear effects coming from parametric interaction of an high and a low frequency waves can be measured as a phase modulation of the HF acoustic beam. According to the NDE needs, the nonlinearity in samples with interfaces, coming from aeronautic industries (two layers of aluminum bonded by an epoxy thin layer), must be measured. In order to meet these needs, our method has been extended. Thanks to additional measurements of reflection coefficient, calibration procedure, based on the selfreciprocity principle applied to the LF transducer, has led us to obtain absolute value of the LF particle velocity at the bonded interface. To know the feasibility of this extension, preliminary results of nonlinear parameter have been obtained in bi-layer samples considering the propagation inside the layer only. An image has been created by slope values of phase modulation obtained from 25 regularly spaced measurements.

Haumesser L., Bou Matar O., Dos Santos S., Vander Meulen F. «Transmission through and reflection from a fluid elastic layer: quasi-linear approximation» High intensity acoustic waves in modern technological and medical applications. Joint Workshop of Russian Acoustical Society (RAS) and French Acoustical Society (SFA). Special Session of the XVI Meeting of Russian Acoustical Society (Moscow. 14–18 November 2005), с. 75-80 (2005)

Second Harmonic Generation (SHG) in a three fluid layer system, is investigated in the quasi-linear approximation. Considering an initially sinusoidal plane wave normally incident upon the central layer, the pressure radiated from the later is evaluated at double frequency. Analytical expressions for the reflected and transmitted pressure fields are derived from series of reflected and refracted waves. Results are discussed as a function of the geometrical and material characteristics of the system.

Penelet G., Gusev V., Lotton P., Bruneau M. «Experimental and theoretical studies of nonlinear saturation processes in annular thermoacoustic prime movers» High intensity acoustic waves in modern technological and medical applications. Joint Workshop of Russian Acoustical Society (RAS) and French Acoustical Society (SFA). Special Session of the XVI Meeting of Russian Acoustical Society (Moscow. 14–18 November 2005), с. 65-74 (2005)

The present study gives a simplified analytical description of spontaneous generation and finite amplitude saturation of sound in annular thermoacoustic engines, and also provides comparison with experiments. The model includes the description of thermoacoustic amplification of sound (induced by interaction between an heterogeneously heated stack of solid plates and resonant gas oscillations), which accounts for the details of the temperature distribution in the whole thermoacoustic device. The saturation of the acoustic wave amplitude is described by taking into account both the reverse influence of the acoustic field on the temperature field, and the dissipation of acoustic power due to higher harmonics generation and minor losses (vortex generation). From the comparison between simulation results and experiments, it is demonstrated that the dynamical behavior observed in our experimental device is predominantly controlled by the effects of acoustic streaming and acoustically enhanced thermal conductivity tending not only to reduce the externally imposed temperature gradient along the stack, but also to change the shape of the temperature field in such a way that additional thermoacoustic amplification may occur.

Preobrazhensky V., Pernod P., Bunkin F., Brysev A., Krutyansky L., Pyl'nov Yu., Preobrazhensky S. «Nonlinear acoustics of phase conjugate ultrasound beams. ten years of the russian-french collaboration» High intensity acoustic waves in modern technological and medical applications. Joint Workshop of Russian Acoustical Society (RAS) and French Acoustical Society (SFA). Special Session of the XVI Meeting of Russian Acoustical Society (Moscow. 14–18 November 2005), с. 11-20 (2005)

Overview of nonlinear acoustics of phase conjugate waves (PCW) – the new domain of physical acoustics created by the participants of the Joint Russian–French laboratory LEMAC is presented. The original magneto-acoustic technique of supercritical parametric wave phase conjugation (WPC) is used as a basic method of generation of high intensity PCW. The results of experimental and theoretical studies of nonlinear propagation and interaction of PCW in liquids are considered. Compensation of phase distortions and high quality retro-focusing of PCW in nonlinear and inhomogeneous media in conditions of break of time reversal invariance (TRI) are observed experimentally and described theoretically. Selective WPC of the harmonics of nonlinear beams and its application for harmonic imaging are demonstrated on an example of the nonlinear acoustic microscopy. Detection of nonlinear inhomogeneities by means of WPC is described. Low frequency wave generation by nonlinear interaction of high frequency PCW and its use for velocimetry of scattering objects in liquid are discussed. Applications of TRI break for ultrasonic WPC-imaging of flows and the advantages of nonlinear modes of flow imaging are demonstrated.

Preobrazhensky V., Pernod P., Bunkin F., Brysev A., Krutyansky L., Pyl'nov Yu., Preobrazhensky S. «Nonlinear acoustics of phase conjugate ultrasound beams. ten years of the russian-french collaboration» High intensity acoustic waves in modern technological and medical applications. Joint Workshop of Russian Acoustical Society (RAS) and French Acoustical Society (SFA). Special Session of the XVI Meeting of Russian Acoustical Society (Moscow. 14–18 November 2005), с. 11-20 (2005)

Overview of nonlinear acoustics of phase conjugate waves (PCW) – the new domain of physical acoustics created by the participants of the Joint Russian–French laboratory LEMAC is presented. The original magneto-acoustic technique of supercritical parametric wave phase conjugation (WPC) is used as a basic method of generation of high intensity PCW. The results of experimental and theoretical studies of nonlinear propagation and interaction of PCW in liquids are considered. Compensation of phase distortions and high quality retro-focusing of PCW in nonlinear and inhomogeneous media in conditions of break of time reversal invariance (TRI) are observed experimentally and described theoretically. Selective WPC of the harmonics of nonlinear beams and its application for harmonic imaging are demonstrated on an example of the nonlinear acoustic microscopy. Detection of nonlinear inhomogeneities by means of WPC is described. Low frequency wave generation by nonlinear interaction of high frequency PCW and its use for velocimetry of scattering objects in liquid are discussed. Applications of TRI break for ultrasonic WPC-imaging of flows and the advantages of nonlinear modes of flow imaging are demonstrated.