OSA's Digital Library

Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 22, Iss. 10 — May. 19, 2014
  • pp: 12087–12095

Finite-difference time-domain simulation of spacetime cloak

Jason Cornelius, Jinjie Liu, and Moysey Brio  »View Author Affiliations

Optics Express, Vol. 22, Issue 10, pp. 12087-12095 (2014)

View Full Text Article

Enhanced HTML    Acrobat PDF (1596 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



In this work, we present a numerical method that remedies the instabilities of the conventional FDTD approach for solving Maxwell’s equations in a space-time dependent magneto-electric medium with direct application to the simulation of the recently proposed spacetime cloak. We utilize a dual grid FDTD method overlapped in the time domain to provide a stable approach for the simulation of a magneto-electric medium with time and space varying permittivity, permeability and coupling coefficient. The developed method can be applied to explore other new physical possibilities offered by spacetime cloaking, metamaterials, and transformation optics.

© 2014 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(160.3918) Materials : Metamaterials
(230.3205) Optical devices : Invisibility cloaks

ToC Category:

Original Manuscript: February 27, 2014
Revised Manuscript: April 11, 2014
Manuscript Accepted: April 23, 2014
Published: May 12, 2014

Jason Cornelius, Jinjie Liu, and Moysey Brio, "Finite-difference time-domain simulation of spacetime cloak," Opt. Express 22, 12087-12095 (2014)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. J. B. Pendry, D. Schurig, D. R. Smith, “Controlling electromagnetic fields,” Science 312, 1780–1782 (2006). [CrossRef] [PubMed]
  2. U. Leonhardt, “Optical conformal mapping,” Science 312, 1777–1779 (2006). [CrossRef] [PubMed]
  3. M. W. McCall, A. Favaro, P. Kinsler, A. Boardman, “A spacetime cloak, or a history editor,” J. Opt. 13, 024003 (2011). [CrossRef]
  4. P. Kinsler, M. W. McCall, “Cloaks, editors, and bubbles: applications of spacetime transformation theory,” Ann. Phys. 526, 51–62 (2014). [CrossRef]
  5. K. S. Yee, “Numerical solution of initial boundary value problems involving Maxwell’s equations in isotropic media,” IEEE Trans. Antennas Propag. 14, 302–307 (1966). [CrossRef]
  6. A. Taflove, M. E. Brodwin, “Numerical solution of steady-state electromagnetic scattering problems using the time-dependent Maxwell’s equations,” IEEE Trans. Microwave Theory Tech. 23, 623–630 (1975). [CrossRef]
  7. A. Taflove, S. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method (Artech House, Norwood, MA, 2005), 3rd edition.
  8. F. L. Teixeira, “Time-domain finite-difference and finite-element methods for Maxwell equations in complex media,” IEEE Trans. Antennas Propag. 56, 2150–2166 (2008). [CrossRef]
  9. J. Liu, M. Brio, Y. Zeng, A. Zakharian, W. Hoyer, S. W. Koch, J. V. Moloney, “Generalization of the FDTD algorithm for simulations of hydrodynamic nonlinear Drude model,” J. Comput. Phys. 229, 5921–5932 (2010). [CrossRef]
  10. A. Akyurtlu, D. H. Werner, “BI-FDTD: A novel finite-difference time-domain formulation for modeling wave propagation in bi-isotropic media,” IEEE Trans. Antennas Propag. 52, 416–425 (2004). [CrossRef]
  11. A. Semichaevsky, A. Akyurtlu, D. Kern, D. H. Werner, M. G. Bray, “Novel BI-FDTD approach for the analysis of chiral cylinders and spheres,” IEEE Trans. Antennas Propag. 54, 925–932 (2006). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


Fig. 1 Fig. 2 Fig. 3
Fig. 4 Fig. 5

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited