Diffraction of a Plane Sound Wave on a Thermoelastic Sphere with a Discretely Inhomogeneous Coating

Abstract

An analytical solution of the problem of the diffraction of a plane monochromatic sound wave on a sphere with a coating of several spherical layers was obtained using the equations of the linear coupled dynamic problem of thermoelasticity of a homogeneous isotropic body. This paper presents the results of calculations of the frequency and angular characteristics of the scattered acoustic field amplitude for a sphere with a multilayer coating and a coating with inhomogeneity continuous across the thickness. It is shown that a continuously inhomogeneous thermoelastic coating can be modeled by a system of homogeneous thermoelastic layers. The effect of the thermoelasticity of the materials of the sphere and its discretely inhomogeneous coating on sound scattering was investigated.