Boundary conditions are formulated on the basis of the general electrodynamic model, the problem is defined, and the common integral relations (obtained by N.V. Kovalenko) of the methods of the tensor Green function, TE and TM fields are given. Then these relations are written down for arrays of waveguide radiators located on an infinite wedge. The integral relations for an infinite wedge are used to deduce systems of linear equations where unknowns are the complex amplitudes of waves reflected from the aperture of the radiators. The systems of equations naturally allow for the mutual coupling between radiators and the diffraction effects on the edge of the wedge.