Method for calculating multiwave scattering by layered anisotropic media

Belyayev, Yuriy N.

doi:10.1016/j.wavemoti.2020.102664

Cited by 1 publication

(1 citation statement)

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“…The equivalent transfer matrix of the non-homogeneous material is determined and, by using the equivalent transfer matrix of the nonhomogeneous material coupled analytically in a series with other transfer matrices, complex multilayer systems can be modeled easily and quickly in configurations wherein the use of finite element calculation alone will be more expensive and time consuming [19]. Other methods have been developed to numerically simulate waves in complex materials, some of which take advantage of matrix formulations [20][21][22][23]. Especially in the case of polycrystalline materials, velocity surfaces [24] or slowness surfaces [25,26] are used to characterize local anisotropy.…”

Section: Introductionmentioning

confidence: 99%

Some Theoretical and Experimental Extensions Based on the Properties of the Intrinsic Transfer Matrix

2022

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The work approaches new theoretical and experimental studies in the elastic characterization of materials, based on the properties of the intrinsic transfer matrix. The term ‘intrinsic transfer matrix’ was firstly introduced by us in order to characterize the system in standing wave case, when the stationary wave is confined inside the sample. An important property of the intrinsic transfer matrix is that at resonance, and in absence of attenuation, the eigenvalues are real. This property underlies a numerical method which permits to find the phase velocity for the longitudinal wave in a sample. This modal approach is a numerical method which takes into account the eigenvalues, which are analytically estimated for simple elastic systems. Such elastic systems are characterized by a simple distribution of eigenmodes, which may be easily highlighted by experiment. The paper generalizes the intrinsic transfer matrix method by including the attenuation and a study of the influence of inhomogeneity. The condition for real eigenvalues in that case shows that the frequencies of eigenmodes are not affected by attenuation. For the influence of inhomogeneity, we consider a case when the sound speed is varying along the layer’s length in the medium of interest, with an accompanying dispersion. The paper also studies the accuracy of the method in estimating the wave velocity and determines an optimal experimental setup in order to reduce the influence of frequency errors.

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