Diffraction of large-number whispering gallery mode by jump of curvature

Diffraction of a high-frequency large-number whispering gallery mode is studied, which runs along the concave part of the boundary to its straightening point, where the curvature of the boundary suffers a jump. The “ray skeleton” of the wavefield investigated in detail. Within the framework of the parabolic equation method, asymptotic formulas are constructed for all waves arising in the vicinity of the non-smoothness point of the boundary.