Diffraction of a plane sound wave on a thermoelastic sphere with a discretely inhomogeneous coating

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 is obtained using the equations of a linear coupled dynamic problem of the thermoelasticity of a homogeneous isotropic body. The results of calculations of the frequency and angular characteristics of the amplitude of a scattered acoustic field for a sphere with a multilayer coated and a coating with heterogeneity continuous across the thickness are given. 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 sphere materials and its discrete inhomogeneous coating on the scattering of sound was investigated.