The Over-determined Boundary Value Problem Method in the Electromagnetic Waves Propagation and Diffraction Theory

The over-determined boundary value problems in the partial domains are proposed to be used as the auxiliary problems to investigate the wave processes in the complex structures. The necessary and sufficient conditions of solvability of the over-determined problem are the dependencies between the boundary functions. These dependencies can be obtained in terms of the Fourier transforms or Fourier coefficients of the boundary functions. The diffraction problems for the electromagnetic waves on the conducting screens in the space and in the waveguides with metallic walls are considered as the examples.