OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 16, Iss. 9 — Apr. 28, 2008
  • pp: 6717–6730

Full-wave finite-difference time-domain simulation of electromagnetic cloaking structures

Yan Zhao, Christos Argyropoulos, and Yang Hao  »View Author Affiliations


Optics Express, Vol. 16, Issue 9, pp. 6717-6730 (2008)
http://dx.doi.org/10.1364/OE.16.006717


View Full Text Article

Enhanced HTML    Acrobat PDF (586 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

This paper proposes a radial dependent dispersive finite-difference time-domain method for the modeling of electromagnetic cloaking structures. The permittivity and permeability of the cloak are mapped to the Drude dispersion model and taken into account in dispersive FDTD simulations. Numerical simulations demonstrate that under ideal conditions, objects placed inside the cloak are ‘invisible’ to external electromagnetic fields. However for the simplified cloak based on linear transformations, the back scattering has a similar level to the case of a PEC cylinder without any cloak, rendering the object still being ‘visible’. It is also demonstrated numerically that the simplified cloak based on high-order transformations can indeed improve the cloaking performance.

© 2008 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(160.4760) Materials : Optical properties
(230.3205) Optical devices : Invisibility cloaks

ToC Category:
Metamaterials

History
Original Manuscript: March 14, 2008
Revised Manuscript: April 15, 2008
Manuscript Accepted: April 17, 2008
Published: April 25, 2008

Citation
Yan Zhao, Christos Argyropoulos, and Yang Hao, "Full-wave finite-difference time-domain simulation of electromagnetic cloaking structures," Opt. Express 16, 6717-6730 (2008)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-16-9-6717


Sort:  Author  |  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. V. G. Veselago, "The electrodynamics of substances with simultaneously negative value of ?? and ??," Sov. Phys. Usp. 10, 509 (1968). [CrossRef]
  3. S. A. Cummer, B.-I. Popa, D. Schurig, and D. R. Smith, "Full-wave simulations of electromagnetic cloaking structures," Phys. Rev. E 74, 036621 (2006). [CrossRef]
  4. Q1. W. Cai, U. K. Chettiar, A. V. Kildishev, and V. M. Shalaev, "Optical cloaking with metamaterials," Nat. Photonics 1, 224-227 (2007). [CrossRef]
  5. W. Cai, U. K. Chettiar, A. V. Kildishev, and V. M. Shalaev, "Nonmagnetic cloak with minimized scattering," Appl. Phys. Lett. 91, 111105 (2007). [CrossRef]
  6. U. Leonhardt, "Optical conformal mapping," Science 312, 1777-1780 (2006). [CrossRef] [PubMed]
  7. M. Tsang and D. Psaltis, "Magnifying perfect lens and superlens design by coordinate transformation," Phys. Rev. B 77, 035122 (2008). [CrossRef]
  8. H. Chen and C. T. Chan, "Transformation media that rotate electromagnetic fields," Appl. Phys. Lett. 90, 241105 (2007). [CrossRef]
  9. M. Rahm, S. A. Cummer, D. Schurig, J. B. Pendry, and D. R. Smith, "Optical design of reflectionless complex media by finite embedded coordinate transformations," Phys. Rev. Lett. 100, 063903 (2008). [CrossRef] [PubMed]
  10. Y. Luo, J. Zhang, L. Ran, H. Chen, and J. A. Kong, "Controlling the emission of electromagnetic sources by coordinate transformation," ArXiv.org:0712.3776v1 (2007).
  11. D.-H. Kwon and D. H. Werner, "Two-dimensional eccentric elliptic electromagnetic cloaks," Appl. Phys. Lett. 92, 013505 (2008). [CrossRef]
  12. S. A Cummer and D. Schurig, "One path to acoustic cloaking," New J. Phys. 9, 45 (2007). [CrossRef]
  13. H. Chen and C. T. Chan, "Acoustic cloaking in three dimensions using acoustic metamaterials," Appl. Phys. Lett. 91, 183518 (2007). [CrossRef]
  14. Z. Ruan, M. Yan, C. W. Neff, and M. Qiu, "Ideal cylindrical cloak: perfect but sensitive to tiny perturbations," Phys. Rev. Lett. 99113903 (2007). [CrossRef] [PubMed]
  15. M. Yan, Z. Ruan, and M. Qiu, "Cylindrical invisibility cloak with simplified material parameters is inherently visible," Phys. Rev. Lett. 99, 233901 (2007). [CrossRef]
  16. G. Isic, R. Gajic, B. Novakovic, Z. V. Popovic, and K. Hingerl, "Radiation and scattering from imperfect cylindrical electromagnetic cloaks," Opt. Express 16, 1413-1422 (2008). [CrossRef] [PubMed]
  17. B. Zhang, H. Chen, B.-I. Wu, Y. Luo, L. Ran, and J. A. Kong, "Response of a cylindrical invisibility cloak to electromagnetic waves," Phys. Rev. B 76, 121101 (2007). [CrossRef]
  18. Y. Huang, Y. Feng, and T. Jiang, "Electromagnetic cloaking by layered structure of homogeneous isotropic materials," Opt. Express 15, 11133-11141 (2007). [CrossRef] [PubMed]
  19. 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]
  20. D. A. B. Miller, "On perfect cloaking," Opt. Express 14, 12457-12466 (2006). [CrossRef] [PubMed]
  21. 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]
  22. I. I. Smolyaninov, Y. J. Hung, and C. C. Davis, "Electromagnetic cloaking in the visible frequency range," ArXiv.org:0709.2862v2 (2007).
  23. A. Alu and N. Engheta, "Achieving transparency with plasmonic and metamaterial coatings," Phys. Rev. E 72, 016623 (2005). [CrossRef]
  24. M. G. Silveirinha, A. Alu, and N. Engheta, "Parallel-plate metamaterials for cloaking structures," Phys. Rev. E 75, 036603 (2007). [CrossRef]
  25. G. W. Milton, and N. P. Nicorovici, "On the cloaking effects associated with anomalous localized resonance," Proc. R. Soc. A 462, 3027-3059 (2006). [CrossRef]
  26. H. Cory, Y. Lee, and Y. Hao, "On the use of conjugate dielectric and metamaterial slabs as radomes," IET Microw. Antenna Propag. 1, 137-143 (2007). [CrossRef]
  27. D. Schurig, J. B. Pendry, and D. R. Smith, "Calculation of material properties and ray tracing in transformation media," Opt. Express 14, 9794-9804 (2006). [CrossRef] [PubMed]
  28. 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]
  29. R. Weder, "A rigorous time-domain analysis of fullwave electromagnetic cloaking (Invisibility)," ArXiv.org:0704.0248v4 (2007).
  30. 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]
  31. A. Taflove, Computational Electrodynamics: The Finite-Difference Time-Domain Method 2nd ed. (Norwood, MA: Artech House, 2000).
  32. R. Luebbers, F. P. Hunsberger, K. Kunz, R. Standler, and M. Schneider, "A frequency-dependent finite-difference time-domain formulation for dispersive materials," IEEE Trans. Electromagn. Compat. 32, 222-227 (1990). [CrossRef]
  33. O. P. Gandhi, B.-Q. Gao, and J.-Y. Chen, "A frequency-dependent finite-difference time-domain formulation for general dispersive media," IEEE Trans. Microw. Theory Tech. 41, 658-664 (1993). [CrossRef]
  34. D. M. Sullivan, "Frequency-dependent FDTD methods using Z transforms," IEEE Trans. Antennas Propag. 40, 1223-1230 (1992). [CrossRef]
  35. F. B. Hildebrand, Introduction to Numerical Analysis (New York: Mc-Graw-Hill, 1956).
  36. J.-Y. Lee and N.-H. Myung, "Locally tensor conformal FDTD method for modelling arbitrary dielectric surfaces," Microw. Opt. Tech. Lett. 23, 245-249 (1999). [CrossRef]
  37. J. R. Berenger, "A perfectly matched layer for the absorption of electromagnetic waves," J. Comput. Phys. 114, 185 (1994). [CrossRef]
  38. Y. Zhao, P. A. Belov, and Y. Hao, "Accurate modelling of left-handed metamaterials using a finite-difference time-domain method with spatial averaging at the boundaries," J. Opt. A: Pure Appl. Opt. 9, 468-475 (2007). [CrossRef]
  39. Y. Zhao, and Y. Hao, "Finite-difference time-domain study of guided modes in nano-plasmonic waveguides," IEEE Trans. Antennas Propag. 55, 3070-3077 (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.

Multimedia

Multimedia FilesRecommended Software
» Media 1: MOV (2756 KB)     
» Media 2: MOV (2840 KB)     
» Media 3: MOV (2763 KB)     

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited