Asymptotic wave-splitting in anisotropic linear acoustics

In the present paper, we present a simple wave-splitting procedure for instantaneously reacting anisotropic media that includes spatial variation in depth. The method includes both the traditional (approximate) and a ‘true amplitude’ wave-field decomposition. The results are presented in time-Laplace domain. One of the main advantages of the method presented here is that it gives an explicit asymptotic representation of the linear acoustic-admittance operator to all orders of smoothness for the smooth, positive definite anisotropic material parameters considered here. Once the admittance operator is known we obtain an explicit asymptotic wave-splitting solution.