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A New Mathematical Formulation for Studying the Scattering Properties of Perfectly Conducting Periodic Structures

Previous methods for studying the scattering properties of perfectly conducting periodic structures were derived with basis on the boundary conditions the fields must satisfy at the structure surface; in this work it is shown that those scattering properties plus the induced current along the structure surface can be studied through a different mathematical formulation exclusively derived with basis on the scattered far-fields characteristics. Complementary periodic structures, periodic structures with dielectric layers and corrugated waveguides were also studied as applications of the method. Numerical results obtained with the new method are shown to be in good agreement with the results obtained by other methods and also with experimental data.