Circuit Model for Periodic Array of Slits With Multiple Propagating Diffracted Orders

We propose an analytical circuit model for accurate analysis of one-dimensional periodic array of metallic strips. The proposed model is valid not only in subwavelength regime, but also for wavelengths shorter than the period of structure. The working frequency can reach the visible range and thus electromagnetic properties of periodic arrays of nano-slits can be analyzed by the proposed model. The proposed model remains valid for arbitrary incident angles even when nonspecular diffracted orders become propagating. Analytical expressions are derived explicitly in order to describe the parameters of the proposed circuit model. The circuit model is derived by assuming that only one guided mode is supported by the slits. The model can successfully explain the extraordinary transmission phenomenon from microwave to optical frequencies. The circuit model is presented for both major polarizations.