Approximating Dispersive Mechanisms Using the Debye Model with Distributions of Dielectric Parameters

The Cole-Cole model is known to accurately describe the dielectric response of a dispersive material over a wide range of frequencies. The model, however, does not lend itself easily to time domain simulation methods such as the Finite Difference Time Domain (FDTD) method, as it involves the approximation of fractional-order derivatives. Researchers have instead often used the Debye model, which is characterized by the same dielectric parameters as the Cole-Cole model, but has less accuracy in describing the dielectric response. In this paper, we seek to reconcile the difficulty of implementing the Cole-Cole model by presenting an approximation of dispersive mechanisms using distributions of parameters within the Debye model.