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A periodic arrangement of one-dimensional slits carved in perfect electricconductor is investigated and an equivalent model based on the effective mediumtheory is derived. The proposed model is no longer fully homogeneous andfeatures periodic surface conductivity on its upper and lower interfaces.Therefore, and in sheer contrast to all the previous attempts that weresuccessful in mimicking only the zeroth-order diffracted waves, it is capableof emulating both specular and non-specular diffraction orders. The parametersof the equivalent model are found by comparing the scattered waves of theproposed model against those of the original structure obtained by invoking therigorous mode matching technique based on the single mode approximation insidethe slits. The proposed model is characterized by diagonal anisotropicpermittivity and permeability tensors together with a periodic surfaceconductivity at the interfaces of the metallic grating and the ambientenvironment. The accuracy of the model is verified by the full-wavesimulations. The proposed approach might be useful for devising applicationswhich work based on the characteristics of higher Floquet orders.

Modeling of Periodic Array of Cut-through Slits with Periodic Surface Conductivity at the Interfaces of an Anisotropic Medium