The alternative representations of the Green's function are given as the infinite sum of eigenfunctions of the wedge-shaped area and as the sum of "regular" and "irregular" parts that are used in the solution of the problem of exciting the finite array of waveguide radiators located on the facet of a wedge.

The constraints equations for the complex amplitudes of the electromagnetic field of the radiators of an array located on an infinite plane and the constraint equations for the complex amplitudes of the radiators of an array located on an infinite plane and the complex electromagnetic field amplitudes determined by diffraction effects on the of wedge edge have been obtained.

The results of calculating the matching of linear arrays and waveguide radiators in the frequency range and scanning sector are given.