Vibrational wave scattering in disordered ultra-thin film with integrated nanostructures

A theoretical model, the phase-field matching theory, has been used to investigate the localized states, their associated states, the local vibrational density of states, the coherent conductance, and the associated thermal conductivity of the perturbed ultra-thin film quasi-dimensional crystalline lattice. The defect disrupts the system's translational symmetry in the perpendicular direction to it, which is axis Ox, and induces a localized state in its behavior that is not present in the bulk, scattering the incident elastic wave. The model was analyzed for three different cases of elastic parameters: softening, homogeneous, and hardening. The purpose is to investigate how the local dynamics can respond to changes in the microscopic environment in the perturbed domain. The analysis of the total phononic conductance spectra and the local vibrational densities states identifies distinguishing characteristics and demonstrates the sensor's potential use in nondestroyed control.