Thermal Conductivty and Scattering Elastic Wave by Integrated Lamellar Nano Structure with Different Thicknesses

Abstract

In this work, we provide a computational and analytical method to study the scattering properties and associated thermal conductivity generated by embedded nanostructures in inhomogeneous crystalline materials. The nature of the defect and its arrangement also affect the coefficients of reflection, transmission, and conductance of elastic wave spectra in the system waveguide model. This problem is solved by using the matching technique and Newton dynamical equation, which are detailed to represent the entire evanescent and propagating fields in the bulk. The matching approach and the Landauer and Bütikker mathematical framework are applied in tandem by the theoretical formalism to get the reflection and transmission coefficients and the related phononic conductance of the perturbed domain. Furthermore, the corresponding thermal conductivity is derived from the function of temperature and the elastic constant of the behavior of the perturbed region. Furthermore, the numerical calculations are displayed and discussed in connection with the different model parameters. The coherent relationship between traveling phonons and the localized vibration modes at the lamellar structures explains the correlation between changes in the conductance spectra and Fabry Perot resonances.