Table of Contents
ISRN Optics
Volume 2012, Article ID 536209, 7 pages
Research Article

FDTD Modeling of a Cloak with a Nondiagonal Permittivity Tensor

Graduate School of Systems and Information Engineering, University of Tsukuba, 1-1-1 Tennodai, Tsukuba, Ibaraki 305-8573, Japan

Received 13 February 2012; Accepted 27 March 2012

Academic Editors: A. Danner, M. Midrio, and A. Tervonen

Copyright © 2012 Naoki Okada and James B. Cole. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We demonstrate a finite-difference time-domain (FDTD) modeling of a cloak with a nondiagonal permittivity tensor. Numerical instability due to material anisotropies is avoided by mapping the eigenvalues of the material parameters to a dispersion model. Our approach is implemented for an elliptic-cylindrical cloak in two dimensions. Numerical simulations demonstrated the stable calculation and cloaking performance of the elliptic-cylindrical cloak.