Investigation of shear wave propagation in two-dimensional systems with Lorentzian-correlated disorder

In this study, we investigate the propagation of shear vibrations in a rectangular system where disorder is introduced through the compressibility term, exhibiting Lorentzian spatial correlations. Our primary objective is to understand how these correlations influence the behavior and velocity of harmonic mode packets as they travel through the system. To achieve this, we employ a finite difference formalism to accurately capture the wave dynamics. Furthermore, we analyze how the spectral composition of the incident pulse affects wave propagation, shedding light on the interplay between disorder correlations and wave transport. By systematically exploring these factors, we aim to deepen our understanding of the fundamental mechanisms governing shear vibration propagation in disordered media.