Solution of the diffraction problem on bodies of revolution with complex geometry using the method of continued boundary conditions

Abstract A technique is proposed to model the scattering characteristics, including averaged over orientation angles, for bodies of revolution of practically any geometry. The problem was solved using the method of continued boundary conditions. Both scalar and vector problems of the diffraction of a plane wave on an ideally conducting body of revolution are considered. In both cases, the corresponding boundary value problem is reduced to integral equation for some unknown function distributed on the surface of the body of revolution. The expression of T-matrix for the scalar problem is derived. The formulas are obtained that make it possible to calculate the intensity of the scattered field averaged over the angles of incidence of the plane wave. A number of examples of solving problems of diffraction on fractal-like bodies of revolution are given. The correctness of the method is validated by applying optical theorem for various bodies and by comparing with the results of calculations obtained by other methods.