Antenna-diffraction problems and singular solutions of singular integral equations

The theory for solving of singular integral equations (s.i.e) in the class of singular functions is given briefly. The antenna-diffraction problem (a.d.p.) is presented as an example. The solution of this problem can be reduced to the considered integral equation type. It is shown that the theory can be applied to solution for the problem of removing "luminescence" of contour angle points by location of current sources on a contour near these points. Amplitudes of these sources are selected in a special manner. One can control the scattering diagram with the help of known amplitudes of other sources. The numerical methods for the solution of the considered integral equations are elaborated. The examples of calculations for the mentioned above physical effects are given.