Diffraction by an Elongated Body of Revolution with Impedance Boundaries: the Boundary Integral Parabolic Equation Method

Abstract

The problem of diffraction by an elongated body of revolution with impedance boundary conditions is studied. The case of axial incidence of a high-frequency wave is considered. The diffraction process is described using the parabolic equation method. A Volterra-type boundary integral equation is derived with the aid of Green’s theorem. An iterative numerical solution is constructed for the problem of diffraction by a thin impedance cone.