Numerical Homogenization for Effective Permittivity of Composite Dielectrics in Waveguide by the Finite Element Method

Abstract

The presented paper reports a technique for modal analysis of waveguide loaded with composite dielectric materials using multi-scale finite element method. In this work, two-dimensional composite dielectric material loaded in waveguide is homogenized with an effective permittivity. By using a technique of finite element modal analysis in rectangular waveguide fully loaded with sample of composite dielectric and well known closed form dispersion formula of rectangular waveguide, the effective permittivity of the composite dielectric material can be explicitly determined. To validate the proposed homogenization technique, numerical examples of mode analysis in waveguides loaded with porous dielectric have been carried out. The dispersion characteristic, computed by meshing physical model and homogenized model are compared. The results show good agreement.