Acceleration of periodic FEBI simulations for general bi-anisotropic media using a model-based parameter estimation technique

The hybrid finite element boundary integral (FEBI) algorithm provides an efficient analysis methodology for 3-D doubly periodic structures composed of inhomogeneous isotropic media with a wide range of applications including phased array antennas and frequency selective surfaces (FSS) [1, 2]. Recently, general bi-anisotropic media have been considered as substrates for antenna and metamaterial applications exhibiting interesting and useful properties [3]. An analysis of patch antennas residing in cavities filled with bi-anisotropic materials was presented in [3] employing the FEBI method. The spectral-domain method of moments (MoM) was applied to the analysis of periodic structures including FSS with anisotropic layered media in [4]. Scattering by periodic structures consisting of anisotropic materials was also analyzed by the FEBI approach [5]. However, very little work has been done to develop efficient techniques for evaluating scattering from 3-D doubly periodic structures composed of arbitrary inhomogeneous general bi-anisotropic media.