Investigation of periodical sequences of circumferential slots in circular waveguides

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 for this problem solution has been suggested. It is based on the idea of the partial inversion of diffraction problem operator by the extraction of the simple part of the semi-infinite sequence of obstacles for which the scattering operator is known. The desired total operator is then constructed using specific symmetry of the semi-infinite structure on the basis of the above mentioned operator allowing one to take into account the wave interaction by the obstacle components.