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Scattering of an Acoustic Field by Refraction-Density Inhomogeneities with a Small Wave Size and Solution of the Problem of Direct Scattering in an Inhomogeneous Medium

机译:折射密度不均匀散射声场,具有小波形尺寸和脱离散射中直接散射问题的解决方案

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摘要

The paper considers acoustic wave scattering by inhomogeneities with a small wave size using the Green's function apparatus, which makes it possible universally to take into account both the refraction and density components of an inhomogeneity. Estimates for the multipole components of a field scattered by a nonresonance inhomogeneity are presented. For an inhomogeneity with small dimensions, it suffices to consider only monopole and dipole scattering. These conclusions are confirmed by an analysis of the field scattered by a circular cylinder with a small wave radius. The results are used to numerically simulate a Lippmann-Schwinger equation. The form of the discretized matrix Green's function for identical values of the spatial arguments is presented. This makes it possible to take into account multiple scattering processes within a discretization element with a small wave size. Its use automatically fulfills the relations between the phase and amplitude of secondary acoustic field sources.
机译:该纸张通过使用绿色的功能装置具有小波形尺寸的非均匀性的声波散射,这使得可以普遍考虑不均匀性的折射和密度分量。介绍了由非族节不均匀性散射的场的多极组件的估计。对于具有小尺寸的不均匀性,只考虑单极和偶极散射就足够了。这些结论通过分析由具有小波半径的圆柱散射的场的分析来证实。结果用于数值上模拟Lippmann-Schwinger方程。呈现了离散矩阵绿色函数的形式,用于空间参数的相同值。这使得可以在具有小波形大小的离散元件内考虑多个散射过程。其使用自动满足辅助声场源的相位和幅度之间的关系。

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