论文标题
随机三维颗粒物材料的有效波
Effective Waves for Random Three-dimensional Particulate Materials
论文作者
论文摘要
您如何对微观结构是随机的材料进行可靠的测量？当使用波散射时，答案通常是取平均值（随时间或空间的平均值）。通过平均，我们可以计算平均散射波和有效的波数。迄今为止，文献的重点是计算充满颗粒的板的有效波数。一个明确的未解决的问题是如何将这种方法扩展到任何几何和任何来源的材料。例如，有效的波数是否仅取决于微观结构，还是材料几何形状？在这项工作中，我们证明有效的波数仅取决于微观结构而不是几何形状，尽管超过了长波长极限，但仍有多个有效的波数。我们展示了如何计算从任何形状的随机颗粒物质和宽频率范围内分散的平均波。例如，我们展示了如何计算从充满颗粒的球体散射的平均波。
How do you take a reliable measurement of a material whose microstructure is random? When using wave scattering, the answer is often to take an ensemble average (average over time or space). By ensemble averaging we can calculate the average scattered wave and the effective wavenumber. To date, the literature has focused on calculating the effective wavenumber for a plate filled with particles. One clear unanswered question was how to extend this approach to a material of any geometry and for any source. For example, does the effective wavenumber depend on only the microstructure, or also on the material geometry? In this work, we demonstrate that the effective wavenumbers depend on only microstructure and not the geometry, though beyond the long wavelength limit there are multiple effective wavenumbers. We show how to calculate the average wave scattered from a random particulate material of any shape, and for broad frequency ranges. As an example, we show how to calculate the average wave scattered from a sphere filled with particles.
