Resonant Scattering of an Elastic Wave by a Layer Containing a Random or Periodic Distribution of Inclusions

Wave propagation through particulate composites has received considerable attention in recent years. The dispersive wave propagation through particulate composites with both random and periodic distributions has been studied theoretically [1] and experimentally [2–7]. The response of a layered composite with a finite number of layers can be predicted using the acoustic complex-valued transfer functions for a single layer [8]. The effect of the in-plane structure of an inclusion layer and resonance of individual particles on the wave propagation phenomena have been studied [9]. For a single layer of inclusions, it was shown that the arrangement of the inclusions has a significant effect on a wave propagating normal to the layer. The objective of this work is to study further the effect of the in-plane structure of an inclusion layer and acoustical properties of individual particles on the wave propagation phenomena