“…Therefore, the layered rocks are preserved as transversely isotropic with respect to its vertical axis of symmetry but macroscopically anisotropic [1][2][3][4]. Reflection and refraction of acoustic waves between adjacent rocks have profound implications in geophysics, e.g., in earthquake seismology, seismic image and analysis, and underwater acoustics [5][6][7][8][9][10][11]. The physical properties of the transversely isotropic media with a vertical axis of symmetry (VTI media), as shown in Figure 1(a), can be described by an elastic stiffness tensor [2,7,[12][13][14][15][16]…”