A unified ADE-FDTD-CPML scheme is proposed for one-stop simulation of electromagnetic (EM) wave propagation in different electrically dispersive media with isotropic

linear and nonmagnetic properties.This unification is manifested from two aspects.One aspect is unified FDTD treatment of problem space and its absorbing boundaries

the other is unified implementation of frequency-dependent properties for several types of media such as single Havriliak-Negami (H-N)

Davidson-Cole (D-C)

Cole-Cole (C-C)

Debye dispersive media

ordinary media or their arbitrary combination

which are lossless or lossy with single pole or multiple relaxation times.The main difficulty in the presented scheme is appearance of fractional derivatives.This difficulty is overcomed by using the Pad approximant method

resulting in a set of auxiliary differential equations (ADEs) of integer order.The feasibility

validity

good generality and low complexity of the scheme is preliminarily demonstrated by the comparisons between analytic and calculated results from several one-dimensional (1-D) and three-dimensional (3-D) examples.