In this work, we present numerical calculations of the acoustic scattering properties of inclusions characterized by fractional order behavior. Fundamental quantities, such as the differential and the total scattering cross sections, are calculated for a wide range of forcing frequencies, and their characteristics are analyzed in the perspective of remote sensing and material characterization applications. The numerical simulations show the occurrence of resonance frequencies related to the fractional order mismatch and suggest the ability of fractional inclusion to induce lensing effects similar to those observed in materials with a negative index of refraction. The tools developed in this framework offer a novel approach for modeling and predicting the transport of field quantities throughout complex inhomogeneous and highly scattering media.

中文翻译：

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声学非局部夹杂物的散射截面：一种分数动态方法

在这项工作中，我们提出了以分数阶行为为特征的包裹体声散射特性的数值计算。计算了各种强迫频率的基本量，例如微分和总散射截面，并从遥感和材料表征应用的角度分析了它们的特性。数值模拟显示了与分数阶失配相关的共振频率的发生，并表明分数包含引起透镜效应的能力，类似于在具有负折射率的材料中观察到的那些效应。在这个框架中开发的工具提供了一种新的方法来建模和预测场量在复杂的非均匀和高度散射介质中的传输。