Radiation from an acoustic line source in the presence of a sphere

By using relations between cylindrical and spherical wave functions the scattering of the radiation from an infinitely long uniform acoustic line source by hard and soft spheres has been investigated. Expressions for the scattered pressure field for both situations have been derived.     

Interaction of acoustic scatterers

The interaction of scatterers under steady-state acoustic irradiation is studied for the case of scatterers in the form of elliptic cylinders taken as an example. The angular scattering characteristics of two interacting cylinders are calculated and compared with the angular characteristics of a single cylinder in a wide frequency band and in a wide angular range of irradiation. The parameters of interacting bodies (the angle of irradiation, the size with respect to the wavelength, and the distance between the bodies) at which the interaction is negligibly small are determined.     

Measurement of acoustic output power in a traveling wave engine

We built and tested a double-loop thermoacoustic cooler consisting of an engine-loop, a branch resonator, and a cooler-loop. The cooling power of 6.4 W was obtained at the cooling temperature of 0 degrees C, when the input heat power of 416 W was supplied to the engine-loop. We measured the acoustic power and found that the output power emitted from the engine-loop was 12 W, and that the input acoustic power entering the cooler-loop was 6 W.     

Reconstruction of acoustic boundary scatterers using the Novikov-Grinevich-Manakov algorithm

Models of perfectly rigid and perfectly soft acoustic scatterers of different dimensions are used to study the applicability limits of the Novikov-Grinevich-Manakov functional algorithm intended for reconstructing two-dimensional scatterers. Particular scattering features intrinsic to boundary scatterers are revealed.     

Surface acoustic waves in an elastic wedge media

We consider surface acoustic waves in an elastic wedge media. It is established that the investigated waves substantially differ from known ones. For example, the movement of surface Rayleigh wave in the direction to the edge leads to a change of its structure, accompanied by the splitting of the initial wave to two separate modes and radiation of shift and longitudinal waves. Along the edge of the wedge the surface wave is strongly localized in the transverse direction. Are discussed the properties of the wedge antisymmetric normal waves, propagating parallel to the edge of the wedge.     

Electron scattering from an assembly of point scatterers in the presence of a quantizing magnetic field

Summary We have studied the scattering of electrons by a structured target in the presence of a quantizing static magnetic field, under the assumption that the presence of the field does not affect the behaviour of the massive target nuclei, but it influences only the motion of the incident electrons. In this case, the electron motion in the plane perpendicular to the magnetic field is confined within a typical distance given by the cyclotron radius ρ₀=(cℏ/|e|B)^1/2, that for particular values of the intensity of the magnetic field can be comparable with the distance between two scattering centres. The known field-free interference conditions are modified, depending both on the energy of the incident particle and on the intensity and the direction of the magnetic field. The general case of a three-dimensional scattering array has been derived in detail. Numerical results are given for the case of two scattering centres in perpendicular geometry. To speed up publication, the authors of this paper have agreed to not receive the proofs for correction.     

Wideband time-reversal imaging of an elastic target in an acoustic waveguide

Time-reversal is addressed for imaging elastic targets situated in an acoustic waveguide. It is assumed that the target-sensor range is large relative to the channel depth. We investigate the theory of wideband time-reversal imaging of an extended elastic target, for which the target dimensions are large relative to the principal wavelengths. When performing time-reversal imaging one requires a forward model for propagation through the channel, and the quality of the resulting image may be used as a measure of the match between the modeled and actual (measured) channel parameters. It is demonstrated that the channel parameters associated with a given measurement may be determined via a genetic-algorithm (GA) search in parameter space, employing a cost function based on the time-reversal image quality. Example GA channel-parameter-inversion results and imagery are presented for measured at-sea data.     

Cancellation of acoustic scattering from an elastic sphere

Recent research has suggested the possibility of creating acoustic cloaks using metamaterial layers to eliminate the acoustic field scattered from an elastic object. This paper explores the possibility of applying the scattering cancellation cloaking technique to acoustic waves and the use of this method to investigate its effectiveness in cloaking elastic and fluid spheres using only a single isotropic elastic layer. Parametric studies showing the influence of cloak stiffness and geometry on the frequency dependent scattering cross-section of spheres have been developed to explore the design space of the cloaking layer. This analysis shows that an appropriately designed single isotropic elastic cloaking layer can provide up to 30 dB of scattering reduction for ka values up to 1.6. This work also illustrates the importance of accounting for the elasticity of the object and the relevant limitations of simplistic quasi-static analyses proposed in recent papers.     

A spherical acoustic source in an ideal waveguide

The acoustic field of a spherical source in an ideal waveguide is considered with allowance for the diffraction by the source. The consideration uses the previously obtained results on the diffraction by a spherical source in a halfspace with ideal boundaries. The resultant field is shown to be representable as an infinite sum of the fields of some equivalent sources. The errors that appear when the number of these sources is limited are estimated. The field produced by the sphere in an ideal waveguide is calculated with and without allowance made for the scattering.     

Propagation in an elastic wedge using the virtual source technique

The virtual source technique, which is based on the boundary integral method, provides the means to impose boundary conditions on arbitrarily shaped boundaries by replacing them by a collection of sources whose amplitudes are determined from the boundary conditions. In this paper the virtual source technique is used to model propagation of waves in a range-dependent ocean overlying an elastic bottom with arbitrarily shaped ocean-bottom interface. The method is applied to propagation in an elastic Pekeris waveguide, an acoustic wedge, and an elastic wedge. In the case of propagation in an elastic Pekeris waveguide, the results agree very well with those obtained from the wavenumber integral technique, as they do with the solution of the parabolic equation (PE) technique in the case of propagation in an acoustic wedge. The results for propagation in an elastic wedge qualitatively agree with those obtained from an elastic PE solution.     

The radiation power of elastic waves excited in a solid half-space by a subsurface time-harmonic source

The method of Fourier transforms is used to solve the problem of excitation of longitudinal, transverse, and Rayleigh surface waves by a time-harmonic point source placed in a homogeneous isotropic, perfectly elastic half-space and acting along the normal surface. Expressions for the time-average radiation powers of the aforementioned waves are obtained by the method of radiation reaction without using any approximations. The distribution of radiation power over different types of waves depending on their velocities and the source’s depth is investigated in detail.     

Linear propagation of dust acoustic modes in the presence of an electron beam

The physical and optical properties of plasmas are depended on dynamics of species in the discharge volume. Then, the presence of an electron beam, as a separate component, in a dusty plasma can modify the plasma structures through altering the discharge parameters. In this report, the linear propagation of acoustic modes in a collisionless dusty plasma contains electrons, ions and charged dust grains is investigated in the presence of an electron beam. Our analysis indicates that the electron beam can modify the dispersion relations of dust acoustic modes which resulted different data transportation in dusty plasmas. The obtained results are also examined for negative and positive charged dust grains with different number densities. The charge of dust grains represents an important role in the dynamics of the low frequency waves. Additionally, our findings reveal that the propagation of acoustic waves in dusty plasmas can be controlled by adjusting the electron number density of the beam and the cathode potential. Lastly, we obtian the destabilizing effects, originated from dust charge fluctuation, by reconsidering the dispersion relations of both dust acoustic modes.     

内嵌不同形状散射子的局域共振型黏弹性覆盖层低频吸声性能研究

最近研究表明,将声子晶体中的局域共振现象引入到水下吸声材料的设计中,可以观察到由局域共振引起的低频声吸收现象.为了进一步揭示局域共振低频吸声机理并获得更优的水下低频声吸收性能,研究了内嵌不同形状散射子的黏弹性声学覆盖层.利用晶格和散射子在空间排布的对称性,传统有限元方法得到简化,从而节约了计算时间和存储空间,并通过将简化有限元法计算得到的结果与传统有限元法计算的结果进行对比,验证了简化有限元方法的正确性.结合位移云纹图,考察了特定频率点上振动模态与相应的局域共振吸声峰之间的关系,揭示了内嵌圆柱形散射子的黏弹性覆盖层的吸声机理.进一步讨论了相同体积下不同形状的圆柱形散射子对黏弹性覆盖层吸声性能的影响,给出了提升覆盖层低频吸声性能的优化思路.通过讨论不同芯体材质对内嵌圆柱形散射子的黏弹性覆盖层吸声性能的影响,找到了改变第一共振峰位置的方法,从而可以通过调整第一共振峰来实现特定频率范围内的宽带吸声.     

Green's functions for a volume source in an elastic half-space

Green's functions are derived for elastic waves generated by a volume source in a homogeneous isotropic half-space. The context is sources at shallow burial depths, for which surface (Rayleigh) and bulk waves, both longitudinal and transverse, can be generated with comparable magnitudes. Two approaches are followed. First, the Green's function is expanded with respect to eigenmodes that correspond to Rayleigh waves. While bulk waves are thus ignored, this approximation is valid on the surface far from the source, where the Rayleigh wave modes dominate. The second approach employs an angular spectrum that accounts for the bulk waves and yields a solution that may be separated into two terms. One is associated with bulk waves, the other with Rayleigh waves. The latter is proved to be identical to the Green's function obtained following the first approach. The Green's function obtained via angular spectrum decomposition is analyzed numerically in the time domain for different burial depths and distances to the receiver, and for parameters relevant to seismo-acoustic detection of land mines and other buried objects.     

On the energy of Yang-Mills fields in the presence of an external source

An expression is derived for the energy of a non-Abelian solution of the Yang-Mills equations in the presence of an external source, which permits an immediate comparison with the energy of the corresponding Coulomb-type solution, For any semisimple gauge group, a number of different field configurations are exhibited which always lead to solutions of lower energy than the Coulomb solution independent of the strength and symmetry properties of the source. The various implications of these results in view of the known instability of the Coulomb-type solution of a spherically symmetric source are discussed.