Spin waves in classical gases

A criterion for the propagation of weakly-damped spin waves is obtained on the basis of a detailed analysis of the quantum collision integral for particles in a paramagnetic polarized Boltzmann gas. It is shown that according to this criterion spin waves can propagate in classical (nonquantum) gases at temperatures close to room temperature. Pis’ma Zh. éksp. Teor. Fiz. 67, No. 10, 777–782 (25 May 1998)     

Acoustic waves in random fields

The effect of space- and time-dependent random mass density, velocity, and pressure fields on frequencies and amplitudes of acoustic waves is considered by means of the analytical perturbative method. The analytical results, which are valid for weak fluctuations and long wavelength sound waves, reveal frequency and amplitude alteration, the effect of which depends on the type of random field. In particular, the effect of a random mass density field is to increase wave frequencies. Space-dependent random velocity and pressure fields reduce wave frequencies. While space-dependent random fields attenuate wave amplitudes, their time-dependent counterparts lead to wave amplification. In another example, sound waves that are trapped in the vertical direction but are free to propagate horizontally are affected by a space-dependent random mass density field. This effect depends on the direction along which the field is varying. A random field, which varies along the horizontal direction, does not couple vertically standing modes but increases their frequencies and attenuates amplitudes. These modes are coupled by a random field which depends on the vertical coordinate, but the dispersion relation remains the same as in the case of the deterministic medium.     

Acoustic waves of GaN nitride nanowires

Acoustic waves of GaN nanowires are studied. The materials have a wurtzite structure and thus the elastic anisotropy is included. We use the xyz-algorithm originally employed in the analysis of resonant ultrasound spectroscopy results. We have considered hexagonal cross-section nanowires as those experimentally grown. We have studied also circular cross-section nanowires (nanotubes) for comparison. It was found that the lower frequency modes have a very similar dispersion relation both in shape and frequency value, but higher frequency modes exhibit more important differences. The nanowires are solid or hollow and the influence of the thickness on the dispersion relation and the elastic displacement pattern is considered. Nanowires with a zinc-blende structure have also been considered because of theoretical studies allowing for their existence. We have studied also the squared displacement vectors to see the spatial distribution of the different modes in the nanowires. It was found that there are many modes whose elastic displacement components concentrate around the borders of the nanowire and they do not penetrate almost in the inner part of the nanowire.     

Potential wells for classical acoustic waves

The acceleration theorem of Bloch waves is utilized to construct random potential wells for classical acoustic waves in systems composed of alternating‘cavities’and‘couplers’.One prominent advantage of this method is these‘cavities’and‘couplers’are all monolayer structures.It allows forming more compact classical potential wells,which leads to the miniaturization of acoustic devices.We systematically investigate properties of harmonic,tangent,hyperbolic function,and square classical potential wells in quasi-periodic superlattices.Results show these classical potential wells are analogues of quantum potential wells.Thus some technologies and concepts in quantum potential well fields may be generalized to classical acoustic wave fields.In addition,some abnormal cases regarding forming classical potential wells are also found.     

Localization in an Acoustic Cavitation Cloud

Using a nonlinear sound wave equation for a bubbly liquid in conjunction with an equation for bubble pulsation,we theoretically predict and experimentally demonstrate the appearance of a gap in the frequency spectrum of a sound wave propagating in a cavitation cloud comprising bubbles.For bubbles with an ambient radius of 100 μm,the calculations reveal that this gap corresponds to the phenomenon of sound wave localization.For bubbles with an ambient radius of 120 μm,this spectral gap is related to a forbidden band of the sound wave.In the experiment,we observe the predicted gap in the frequency spectrum in soda water.However,in tap water,no spectral gap is present because the bubbles are much smaller than 100 μm.     

Localization of notches with Lamb waves

A time-frequency representation (TFR) is used to analyze the interaction of a multimode and dispersive Lamb wave with a notch, and then serves as the basis for a correlation technique to locate the notch. The experimental procedure uses a laser source and a dual-probe laser interferometer to generate and detect Lamb waves in a notched plate. The high fidelity, broad-bandwidth, point-like and noncontact nature of laser ultrasonics are critical to the success of this study, making it possible to experimentally measure transient Lamb waves without any frequency biases. A specific TFR, the reassigned spectrogram, is used to resolve the dispersion curves of the individual modes of the plate, and then the slowness-frequency representation (SFR) of the plate is calculated from this reassigned spectrogram. By considering the notch to be an additional (second) source, the reflected and transmitted contributions of each Lamb mode are automatically identified using the SFRs. These results are then used to develop a quantitative understanding of the interaction of an incident Lamb wave with a notch, helping to identify mode conversion. Finally, two complementary, automated localization techniques are developed based on this understanding of scattering of Lamb waves.     

Localization of nonlinear waves between interfaces

Stationary localized states of nonlinear waves propagating in a focusing medium along two plane-parallel interfaces repulsing the wave flux are investigated analytically. It is established that the nonlinear wave beam can be localized in the region between these interfaces.     

Acoustic waves in a Cattaneo-Christov gas

A model is presented for an inviscid fluid using the recently proposed model for heat waves due to C. Christov. Christov's model generalizes the classical model of Cattaneo to the important case of a moving body. We here couple this to the equations of motion for a fluid. It is then shown that an acoustic wave will propagate together with a thermal wave. The theory allows for the possibility of a transverse wave in the heat flux. The wavespeeds are calculated exactly and one may fully determine the wave amplitudes.     

Acoustic sweep monitoring of background internal waves

The results of a theoretical consideration of fluctuations that occur in the frequency shifts of the interference pattern under the effect of background internal waves are presented. Possibilities of reconstructing the spectrum of vertical displacements of liquid layers from the measured spectrum of frequency deviations of a local interference peak are analyzed within the framework of a numerical experiment. Problems of stability and the efficiency of the proposed monitoring are discussed.     

Optimal Passive Source Localization for Acoustic Emissions

Acoustic emission is a non-destructive testing method where sensors monitor an area of a structure to detect and localize passive sources of elastic waves such as expanding cracks. Passive source localization methods based on times of arrival (TOAs) use TOAs estimated from the noisy signals received by the sensors to estimate the source position. In this work, we derive the probability distribution of TOAs assuming they were obtained by the fixed threshold technique—a popular low-complexity TOA estimation technique—and show that, if the sampling rate is high enough, TOAs can be approximated by a random variable distributed according to a mixture of Gaussian distributions, which reduces to a Gaussian in the low noise regime. The optimal source position estimator is derived assuming the parameters of the mixture are known, in which case its MSE matches the Cramér–Rao lower bound, and an algorithm to estimate the mixture parameters from noisy signals is presented. We also show that the fixed threshold technique produces biased time differences of arrival (TDOAs) and propose a modification of this method to remove the bias. The proposed source position estimator is validated in simulation using biased and unbiased TDOAs, performing better than other TOA-based passive source localization methods in most scenarios.