Scattering Cross Sections Of Acoustic Nonlocal Inclusions: A Fractional Dynamic Approach

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.