This paper presents a new analytical method to predict the frequency response of frequency selective surfaces (FSSs) made of anisotropic substrates. The proposed method use equivalent circuit (EC) model in conjunction with transmission line (TL) is to analyze these structures with an anisotropic substrate to obtain reflection and transmission coefficients. In this method, the scattering parameters of the FSS are calculated by taking into account the effect of the coupling capacitor between conducting patterns. In addition, they can be used in variety of applications such as FSS-backed transmit array. To analyze these structures, a novel modeling including EC method and particle swarm optimization (PSO) is used to obtain the geometrical parameters of the structure using a uniaxial substrate. The results of the analytical method are provided and compared with those obtained by numerical investigation using high-frequency structure simulator (HFSS). The analytical results agree well with those obtained by simulation. Moreover, the obtained results are compared with those presented in literature including simulated and measured ones, which confirms the accuracy of our proposed method.

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