Quasistatic Green function method as a powerful tool of diffraction problems solving

Despite the essential successes achieved in the diffraction theory, it still has a number of the principal problems unsolved. These include the effective numerical solution in the resonance domain, effective evaluation of field in the multimode waveguides and complex periodic structures and the investigation of fields in the irregular domains. The goal of this work is to demonstrate how in most cases these problems can be solved with the aid of conformal mapping and so to contradict the widely spread opinion that the conformal mapping application to the diffraction problems is adequate in the quasi static state only. Actually the quasistatic Green function method based on nonstandard application of the conformal mapping techniques gives good perspectives for the solution of these and some other problems