On a inner source in transversely isotropic elastic medium

For a homogeneous transversely isotropic elastic medium excited by a point force acting on isotropy plane, the exact field of displacements is constructed. This field decomposes into waves P-SV and SH. For the waves SH satisfying Lame's equations, the boundary conditions are established and rather simple expressions are derived. These expressions are compared with first terms of the ray series.