OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: Henry Van Driel
  • Vol. 26, Iss. 11 — Nov. 1, 2009
  • pp: 2117–2124

Response of dispersive cylindrical cloaks to a nonmonochromatic plane wave

Cédric Blanchard, Bae-Ian Wu, Jorge Andrés Portí, Hongsheng Chen, Baile Zhang, Juan Antonio Morente, and Alfonso Salinas  »View Author Affiliations

JOSA B, Vol. 26, Issue 11, pp. 2117-2124 (2009)

View Full Text Article

Enhanced HTML    Acrobat PDF (811 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



The transmission line modeling method is used to get the time domain response of a dispersive cylindrical cloak to an electromagnetic (EM) plane wave that is slightly nonmonochromatic. Our objective is to numerically study two important phenomena derived from the dispersive nature of the invisibility shell: frequency shifts and time delays. On one hand, the frequency domain representation of the cloak’s response shows that the frequency center is shifted once the EM wave has crossed the cloak; the shift intensity representation spans the entire rainbow spectrum depending on the observation angle. On the other hand, such a full-wave simulation constitutes tangible evidence of the existence of time delays when the EM wave passes through the device. We show that this phenomenon depends on the employed coordinate transformation.

© 2009 Optical Society of America

OCIS Codes
(050.1755) Diffraction and gratings : Computational electromagnetic methods
(160.3918) Materials : Metamaterials
(230.3205) Optical devices : Invisibility cloaks

ToC Category:
Optical Devices

Original Manuscript: August 25, 2009
Revised Manuscript: August 25, 2009
Manuscript Accepted: September 2, 2009
Published: October 20, 2009

Cédric Blanchard, Bae-Ian Wu, Jorge Andrés Portí, Hongsheng Chen, Baile Zhang, Juan Antonio Morente, and Alfonso Salinas, "Response of dispersive cylindrical cloaks to a nonmonochromatic plane wave," J. Opt. Soc. Am. B 26, 2117-2124 (2009)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields,” Science 312, 1780-1782 (2006). [CrossRef] [PubMed]
  2. S. A. Cummer, B.-I. Popa, D. Schurig, D. R. Smith, and J. B. Pendry, “Full-wave simulations of electromagnetic cloaking structures,” Phys. Rev. E 74, 036621 (2006). [CrossRef]
  3. H. Chen, B.-I. Wu, B. Zhang, and J. A. Kong, “Electromagnetic wave interactions with a metamaterial cloak,” Phys. Rev. Lett. 99, 063903 (2007). [CrossRef] [PubMed]
  4. P. Yao, Z. Liang, and X. Jiang, “Limitation of the electromagnetic cloak with dispersive material,” Appl. Phys. Lett. 92, 031111 (2008). [CrossRef]
  5. B. Zhang, B.-I. Wu, H. Chen, and J. A. Kong, “Rainbow and blueshift effect of a dispersive spherical invisibility cloak impinged on by a nonmonochromatic plane wave,” Phys. Rev. Lett. 101, 063902 (2008). [CrossRef] [PubMed]
  6. P. B. Johns and R. L. Beurle, “Numerical solution of 2-dimensional scattering problems using a transmission-line matrix,” Proc. Inst. Electr. Eng. 118, 1203-1208 (1971). [CrossRef]
  7. P. B. Johns, “A symmetrical condensed node for the TLM method,” IEEE Trans. Microwave Theory Tech. 35, 370-377 (1987). [CrossRef]
  8. C. Blanchard, J. Portí, B.-I. Wu, J. A. Morente, A. Salinas, and J. A. Kong, “Time domain simulation of electromagnetic cloaking structures with TLM method,” Opt. Express 16, 6461-6470 (2008). [CrossRef] [PubMed]
  9. G. V. Eleftheriades, A. K. Iyer, and P. C. Kremer, “Planar negative refractive index media using L-C loaded transmission lines,” IEEE Trans. Microwave Theory Tech. 50, 2702-2712 (2002). [CrossRef]
  10. P. P. M. So, H. Du, and W. J. R. Hoefer, “Modeling of metamaterials with negative refractive index using 2-D shunt and 3-D SCN TLM networks,” IEEE Trans. Microwave Theory Tech. 53, 1496-1505 (2005). [CrossRef]
  11. U. Leonhardt, “Optical conformal mapping,” Science 312, 1777-1780 (2006). [CrossRef] [PubMed]
  12. H. Chen and C. T. Chan, “Time delays and energy transport velocities in three dimensional ideal cloaking devices,” J. Appl. Phys. 104, 033113 (2008). [CrossRef]
  13. C. Blanchard, J. Portí, J. A. Morente, A. Salinas, and B.-I. Wu, “Numerical determination of frequency behavior in cloaking structures based on L-C distributed networks with TLM method,” Opt. Express 16, 9344-9350 (2008). [CrossRef] [PubMed]
  14. Y. Zhao, C. Argyropoulos, and Y. Hao, “Full-wave finite-difference time-domain simulation of electromagnetic cloaking structures,” Opt. Express 16, 6717-6730 (2008). [CrossRef] [PubMed]
  15. R. Allen and M. J. Clark, “Application of the symmetrized transmission-line matrix method to the cold modeling of magnetrons,” Int. J. Numer. Model. 1, 61-70 (1988). [CrossRef]
  16. J. A. Morente, G. J. Molina-Cuberos, J. A. Portí, K. Schwingenschuh, and B. P. Besser, “A study of the propagation of electromagnetic waves in Titan's atmosphere with the TLM numerical method,” Icarus 162, 374-384 (2003). [CrossRef]
  17. C. Blanchard, B. Zhang, B.-I. Wu, J. A. Portí, H. Chen, J. A. Morente, and A. Salinas, “Importance of the singular constitutive parameters of cylindrical cloaks: illustration on the anticloak concept,” J. Opt. Soc. Am. B 26 (to be published).
  18. J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs, “Extremely low frequency plasmons in metallic mesostructures,” Phys. Phys. Lett. 76, 4773-4776 (1996). [CrossRef]
  19. L. D. Landau, E. M. Lifshitz, and L. P. Pitaevskii, Electrodynamics of Continuous Media, 2nd ed. (Pergamon, 1984).
  20. A. D. Yaghjian and S. Maci, “Alternative derivation of electromagnetic cloaks and concentrators,” New J. Phys. 10, 115022 (2008). [CrossRef]
  21. J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, “Magnetism from conductors and enhanced nonlinear phenomena,” IEEE Trans. Microwave Theory Tech. 47, 2075-2084 (1999). [CrossRef]
  22. R. W. Ziolkowski and E. Heyman, “Wave propagation in media having negative permittivity and permeability,” Phys. Rev. E 64, 056625 (2001). [CrossRef]
  23. W. Cai, U. K. Chettiar, A. V. Kildishev, V. M. Shalaev, and G. W. Milton, “Nonmagnetic cloak with minimized scattering,” Appl. Phys. Lett. 91, 111105 (2007). [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.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited