Diffraction of the whispering gallery waves near the line of the curvature jump

A nonhomogeneous elastic body with a stress-free boundary is considered. The boundary consists of two smooth cylindrical surfaces with a continuous tangent plane but a discontinuity of the curvature on the junction line.
\par The behaviour of the two kinds of the whispering gallery transversal surface waves passing through the junction line is studied. The displacement vector of the first kind (the Dirichlet boundary condition) wave is normal to the boundary and the displacement vector of the second kind (the Neumann boundary condition) wave is tangent to the boundary and normal to the ray, similar to the displacement vector of the Love waves.