OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 25, Iss. 4 — Apr. 1, 2008
  • pp: 968–973

Influence of geometrical perturbation at inner boundaries of invisibility cloaks

Wei Yan, Min Yan, Zhichao Ruan, and Min Qiu  »View Author Affiliations


JOSA A, Vol. 25, Issue 4, pp. 968-973 (2008)
http://dx.doi.org/10.1364/JOSAA.25.000968


View Full Text Article

Enhanced HTML    Acrobat PDF (373 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

The influence of a geometrical perturbation δ at the inner boundaries of both cylindrical and spherical invisibility cloaks on invisibility performance is presented. The analytic solutions for such influence in the case of the general coordinate transformation are given. We show that the cylindrical cloak is more sensitive than a spherical cloak to such a perturbation. The difference results from the different asymptotic properties of eigenfunctions for the cylindrical and spherical wave equations. In particular, the zeroth-order scattering coefficient for a cylindrical cloak determined by 1 ln ( δ ) converges to zero very slowly. The noticeable scattering induced by the slow convergence speed can be decreased by choosing appropriate coordinate transformation functions. More interestingly, the slow convergence can be overcome dramatically by putting a PEC (PMC) layer at the interior boundary of the cloak shell for TM (TE) wave.

© 2008 Optical Society of America

OCIS Codes
(260.2110) Physical optics : Electromagnetic optics
(230.3205) Optical devices : Invisibility cloaks
(290.5839) Scattering : Scattering, invisibility

ToC Category:
Optical Devices

History
Original Manuscript: January 8, 2008
Revised Manuscript: February 28, 2008
Manuscript Accepted: February 29, 2008
Published: March 26, 2008

Citation
Wei Yan, Min Yan, Zhichao Ruan, and Min Qiu, "Influence of geometrical perturbation at inner boundaries of invisibility cloaks," J. Opt. Soc. Am. A 25, 968-973 (2008)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-25-4-968


Sort:  Year  |  Journal  |  Reset  

References

  1. J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields,” Science 312, 1780-1782 (2006). [CrossRef] [PubMed]
  2. U. Leonhardt, “Optical conformal mapping,” Science 312, 1777-1780 (2006). [CrossRef] [PubMed]
  3. 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]
  4. F. Zolla, S. Guenneau, A. Nicolet, and J. B. Pendry, “Electromagnetic analysis of cylindrical invisibility cloaks and the mirage effect,” Opt. Lett. 32, 1069-1071 (2007). [CrossRef] [PubMed]
  5. H. S. Chen, B. I. Wu, B. L. Zhang, and J. A. Kong, “Electromagnetic wave interactions with a metamaterial cloak,” Phys. Rev. Lett. 99, 063903 (2007). [CrossRef] [PubMed]
  6. Z. C. Ruan, M. Yan, C. W. Neff, and M. Qiu, “Ideal cylindrical cloak: perfect but sensitive to tiny perturbations,” Phys. Rev. Lett. 99, 113903 (2007). [CrossRef] [PubMed]
  7. D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, “Metamaterial electromagnetic cloak at microwave frequencies,” Science 314, 977-980 (2006). [CrossRef] [PubMed]
  8. B. L. Zhang, H. S. Chen, B. I. Wu, Y. Luo, L. X. Ran, and J. A. Kong, “Response of a cylindrical invisibility cloak to electromagnetic waves” Phys. Rev. B 76, 121101 (2007). [CrossRef]
  9. W. Yan, M. Yan, Z. C. Ruan, and M. Qiu, “Perfect invisibility cloak constructed by arbitrary coordinate transformations,” http://www.arXiv:0712.1694 [physics. optics] (2007).
  10. A. Greenleaf, Y. Kurylev, M. Lassas and G. Uhlmann, “Improvement of cylindrical cloaking with the SHS lining,” Opt. Express 15, 12717-12734 (2007). [CrossRef] [PubMed]

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