IE based approach to determine the effective constitutive parameters of periodic structure using microstrip measurement

This paper introduces an approach to determine the effective permittivity and permeability of periodic structures. The approach involves measurement of microstrip line with de-embedding structure. The periodic structure is built as the substrate of the microstrip line. An integral equation (IE) based method is setup to analyze the de-embedded S parameter of the microstrip line for characteristic impedance and propagation constant, then we can solve the complex permittivity and permeability of the periodic structure. Periodic metal patches structure is designed, fabricated and measured. Our proposed IE based method is applied to analyze the measurement data and results are validated.