Oraevsky A.A., Karabutov A.A., Solomatin S.V., Savateeva E.V., Andreev V.G., Gatalica Z., Singh H., Fleming R.D. «Laser optoacoustic imaging of breast cancer in vivo» Акустика неоднородных сред. Ежегодник Российского акустического общества. Труды научной школы проф. С.А. Рыбака. Вып. 2, с. 102 (2001)

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.

Kim Byoung-Nam, Lee Kang Il , Yoon Suk Wang , Choi Bok Kyung , Didenkulov I.N. «Nonlinear parameter estimation in water-saturated sandy sediment with difference frequency acoustic waves» Физическая акустика. Нелинейная акустика. Распространение и дифракция волн. Геоакустика. Сборник трудов 15 сессии Российского акустического общества. Т. 1, с. 172 (2004)

Kopiev V.F., Zaitsev M.Yu., Chernyshev S.A., Kotova A.N. «On the possible role of vortex rings in a turbulent jet noise» Акустика неоднородных сред. Ежегодник Российского акустического общества. Труды научной школы проф. С.А. Рыбака. Вып. 2, с. 138 (2001)

Kopiev V.F., Zaitsev M.Yu., Chernyshev S.A., Kotova A.N. «On the possible role of vortex rings in a turbulent jet noise» Акустика неоднородных сред. Ежегодник Российского акустического общества. Труды научной школы проф. С.А. Рыбака. Вып. 2, с. 138 (2001)

Kovalev S.I. «Non-linear plain magneto-elastic waves in a Le Roux continuum» Научная конференция по радиофизике, посвященная 95-летию со дня рождения М.Т. Греховой Нижний Новгород 7 мая 1997 г. Тезисы докладов, с. 84 (1997)

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.

Gurbatov S.N., Egorychev S.A., Kurin V.V., Pronchatov-Rubtsov N.V., Kustov L.M. «Experimental investigation of an acoustic field radiated by a parametric antenna in longitudinally inhomogeneous waveguides» Труды научной конференции по радиофизике, посвященной 80-летию Нижегородского государственного университета им. Н.И.Лобачевского. 7 мая 1998 г., с. 96 (1998)

The results of laboratory researching in to propagation of low-frequency waves generated as linear, and parametrical antenna in shallow homogeneous and inhomogeneous in thickness hydroacoustic waveguides are described. As a model of grounds in the experiment either aluminum plates lying on a rubber substrate or a rubber substrate were used. Waveguides with a similar ground are described within the framework of Pekeris model.

Gurbatov S.N., Egorychev S.A., Kurin V.V., Pronchatov-Rubtsov N.V., Kustov L.M. «Experimental investigation of an acoustic field radiated by a parametric antenna in longitudinally inhomogeneous waveguides» Труды научной конференции по радиофизике, посвященной 80-летию Нижегородского государственного университета им. Н.И.Лобачевского. 7 мая 1998 г., с. 96 (1998)

The results of laboratory researching in to propagation of low-frequency waves generated as linear, and parametrical antenna in shallow homogeneous and inhomogeneous in thickness hydroacoustic waveguides are described. As a model of grounds in the experiment either aluminum plates lying on a rubber substrate or a rubber substrate were used. Waveguides with a similar ground are described within the framework of Pekeris model.

Didenkulov I.N., Kustov L.M., Pronchatov-Rubtsov N.V., Stromkov A.A. «Methods of the nonlinear acoustic vision of objects and defects» 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. 128-134 (2005)

Nonlinear acoustic methods are found increasing applications during the last decade. In this paper we describe methods of acoustic imaging based on the nonlinear effects: the combination acoustic scattering and the modulation of high-frequency acoustic wave by low-frequency wave. Acoustic vision of objects at the difference frequency was studied using bubbles as strongly nonlinear scatterers. The experiments were carried out in a water tank with metal objects covered with electrolysis microbubbles to produce highly nonlinear scattering from the object surfaces. Images of the objects were obtained. The nonlinear scattering by bubbles was also used to obtain an image of the cavitation flow. Nonlinear acoustic vision of small (in the scale of wavelength) defects is possible when tomography schemes are applied. We used the method of nonlinear modulation modal spectroscopy for defectoscopy of cracks in metal samples. Results of investigation demonstrate possibilities of the nonlinear acoustic techniques in nondestructive testing of different media.