Electromagnetic Characterization of Uniaxial Chiral Composites Using State Transition Matrix Method

Abstract

An analytic frequency domain technique is presented for reconstructing constitutive parameters of uniaxial chiral media. First, forward analysis of the problem is discussed using 4 × 4 transition matrix method. Based on this analysis, a procedure is illustrated for retrieving all the constitutive tensor parameters of uniaxial chiral slab. In the proposed retrieval method, scattering parameters (reflection and transmission coefficients) are employed for plane wave incident normally on a uniaxial chiral slab. This characterization algorithm is based on the state transition matrix and its properties, discussed as two proven theorems. Unlike conventional methods, in this method it is not necessary to directly consider complicated eigenpolarizations of the uniaxial chiral medium resulting in complexity. To validate the proposed method, constitutive tensor parameters of two dispersive uniaxial chiral composites are retrieved at microwave frequencies. The results showed that when the scattering parameters combined with the properties of state transition matrix, they could provide a powerful technique for characterizing uniaxial chiral composites.