Development of numerical model for the complex permittivity of the carbon nanocomposites at microwave frequency band

In this paper, we have studied on the numerical model for the complex permittivity of carbon nanocomposites in microwave frequency band based on the percolation theory. The model was built up for complex permittivity of E-glass fabric/epoxy composite laminates containing carbon black (CB), carbon nanofiber (CNF) at the frequency band of 0.5 GHz ~ 18.0 GHz. It is composed of the numerical equations of the scaling law used in percolation theory and constants obtained from experiments to quantify the model. The model describes the complex permittivity as the function of frequency and filler concentration. The model was verified by being compared with the measurements.