Wave diffraction by semi-infinite periodical structures with axial symmetry

A wide range of diffraction wave problem by semi-infinite equidistant succession of identical obstacles with axial symmetry has been considered. The numerical-analytical method decision of this problem solution has been suggested. It is based on the idea of the partial inversion of diffraction problem operator by the following way: the simple part of the semi-infinite obstacle for which the scattering operator is known is extracted. The desired total operator then has been constructed by using specific symmetry of the semi-infinite structure on the basis of the operator mentioned above, which allows taking into account the wave interaction by the obstacle components.