Analysis of diffraction of a plane wave on a grating consisting of impedance bodies of revolution

The problem of wave scattering by a grating consisting of coaxial impedance bodies of revolution is solved. The efficient numerical algorithm based on the modified null field method is offered. The method is applied both to scalar and vector formulations of the problem. The numerical results are obtained for various geometries of the grating elements.

Research highlights► The new method for the problem of scattering by a 3D grating is proposed. ► The efficient algorithm for calculation of the Green's function is offered. ► Comparison with the problem of scattering by infinite cylinder is made. ► The interaction between the elements of the grating is analyzed. ► The asymptotical solution for the large period of the structure is derived.