Reflection and refraction of a plane sound wave in an elastic plate with an inhomogeneous anisotropic coating

In paper the problem of reflection and refraction a plane harmonic sound wave by homogeneous isotropic elastic plate with an continuously inhomogeneous anisotropic coating is considered. It assumed that adjoin to ideal fluids. The propagation small perturbations in fluid case steady state oscillations described Helmholtz’s equation. waves uniform scalar vector equations for longitudinal transverse waves. Oscillations are general motion continuous medium. boundary-value system ordinary second order differential constructed determination displacement field coating. An analytical description reflected transmitted through acoustic fields obtained. Particular cases when material transversely results numerical calculations dependence coefficient from incidence angle presented.