Effect of transition layers on the electromagnetic properties of composites containing conducting fibres - art. no. 134205

The approach to calculating the effective dielectric and magnetic response in bounded composite materials is developed. The method is essentially base d on the renormalization of the dielectric matrix parameters to account for the surface polarization and the displacement currents at the interfaces. This makes possible the use of the effective-medium theory developed for un bounded materials, where the spatially dependent local dielectric constant and magnetic permeability are introduced. A detailed mathematical analysis is given for a dielectric laver having conducting fibres with in-plane posi tions. The surface effects are most essential at microwave frequencies in c orrespondence to the resonance excitation of fibres. In thin layers (having a thickness of the transition layer), the effective dielectric constant ha s a dispersion region at much higher frequencies compared to those for unbo unded materials, exhibiting a strong dependence on the layer thickness. For the geometry considered, the effective magnetic permeability differs sligh tly from unity and corresponds to the renormalized matrix parameter. The ma gnetic effect is due entirely to the existence of the surface displacement currents.