Book chapter on FDTD modelling of invisibility cloaks

A radially dependent dispersive finite-difference time-domain (FDTD) method is proposed to simulate electromagnetic cloaking devices. The Drude dispersion model is applied to model the electromagnetic characteristics of the cloaking medium. Both lossless and lossy cloaking materials are examined and their operating bandwidth investigated. It is demonstrated that the perfect “invisibility” of electromagnetic cloaks is only available for lossless metamaterials and within an extremely narrow frequency band. Spherical cloaks are simulated and investigated with a parallel dispersive FDTD technique. Finally, ground-plane cloaking devices are examined and analyzed with non-orthogonal and orthogonal FDTD methods.