To the problem of diffraction by an ideal flat cone (quarter-plane)

New analytical results are presented for the problem of a plane acoustic wave scattering by a flat cone (a quarter plane) with Dirichlet boundary conditions. The results are obtained within a general framework developed by author for the strip/slit diffraction problem. These results include (i) embedding formulae representing the diffraction coefficient in the factorized form through the edge Green´s functions depending separately on the direction of incidence and scattering, and (ii) the coordinate equations for the auxiliary functions that reduce the partial differential problem to a boundary problem for a system of ordinary differential equations. The new approach can be treated as a generalization of the separation of variables technique.