Аннотация:A 2D problem of diffraction by a curved
surface with Neumann boundary conditions is considered.
The incident wave is assumed to fall almost
tangentially to the surface. The problem is studied
in the parabolic approximation. A boundary integral
equation of Hong’s type is derived for the field.
This equation belongs to Volterra class. A test problem
of diffraction by a parabola is solved. An analytical
solution of the integral equation can be found,
and this solution is similar to well-known solution
by V. A. Fock. A numerical solution of the equation
is obtained by iterations.