NEW METHODS FOR INVESTIGATION OF WAVE FIELDS IN ANGULAR REGIONS

The problems on the diffraction of the harmonic wave fields on the wedge and related geometric structures at complex boundary conditions have been considered. The diffraction problem which has been reduced to the synonymous-solved linear integral equations with non-special nuclei has been formulated correctly. Its accurate and approximate solutions in the different space regions have been obtained and investigated: near wedge, in intermediate and remote zones. The new methods for solution of the diffraction problems in the wedge-similar regions which modify the classic Kontorovich - Lebedev, Wiener - Hopf - Fock, Maluzhinets - Tuzhilin methods have been developed. The applicability region of the Meiksner decompositions for wave fields near rib has been determined, their replenishment with the logarithmic members has been performed. The accurate solutions of the boundary-contact problem on the diffraction of the electromagnetic waves on the composite wedge-similar body and sonic waves on the angular concatenation of two thin elastic plates have been perpesented. The solution of the diffraction problem on the impedance wedge has been investigated, the new representations of the special Maluzhinets function and Green function have been found. The obtained results can be used in the applied and theoretical investigations of propagating electromagnetic and sonic waves above locality with complex relief and in the urbanistic conditions, scattering from elongated objects of the complex shape and also at design of the aerials, echo-free measuring chambers, microwave devices and integrated optics.Available from VNTIC / VNTIC - Scientific & Technical Information Centre of RussiaSIGLERURussian Federatio