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A complex slowness vector governs the propagation of plane attenuated waves in a thermoelastic medium with arbitrary anisotropy. This vector is resolved into a propagation vector and attenuation vector, which may have different directions to represent the inhomogeneous propagation of attenuated waves. The attenuation vector is resolved further to identify the homogeneous attenuation and inhomogeneous attenuation. An incidence of attenuated wave at the plane boundary of thermoelastic medium results in four reflected inhomogeneous waves. A generalized form of Snell’s law relates the slowness vectors of reflected waves to the slowness vector of incident wave. The complex slowness vector of each reflected wave is resolved to define its phase velocity, propagation direction, attenuation angle and attenuation coefficient. At thermoelastic boundary, the conservation of incident energy is achieved through a contribution from the interactions of reflected waves among themselves as well as with incident wave. A numerical example is considered to analyze the propagation characteristics of reflected waves at insulated or isothermal boundary for inhomogeneous propagation of incident wave.

Reflection of inhomogeneous waves at the plane boundary of anisotropic thermoelastic medium