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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...
The problem of diffraction by a thin cone is considered. The parabolic equation of diffraction theory is used as the governing equation. Authors introduce the method of a boundary integral equation for the parabolic equation. The integral equation is derived by applying the Green's theorem. The kernel of the equation has a difference form, so the equation can be solved analytically using Fourier transform...
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