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Optics Express

Optics Express

| THE INTERNATIONAL ELECTRONIC JOURNAL OF OPTICS

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 8 — Apr. 13, 2009
  • pp: 6591–6599

Invisibility cloaks for toroids

Yu You, George W. Kattawar, and Ping Yang

Optics Express, Vol. 17, Issue 8, pp. 6591-6599        doi:10.1364/OE.17.006591

» View Full Text: Acrobat PDF (701 KB)

  • OCIS Codes:
  • (160.1190) Materials : Anisotropic optical materials
  • (160.3918) Materials : Metamaterials
  • (260.2710) Physical optics : Inhomogeneous optical media
ToC Category:
Physical Optics

Citation
Yu You, George W. Kattawar, and Ping Yang, "Invisibility cloaks for toroids," Opt. Express 17, 6591-6599 (2009)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-17-8-6591

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Abstract

The material properties of toroidal invisibility cloaks are derived based on the coordinate transformation method. The permittivity and permeability tensors for toroidal cloaks are substantially different from those for spherical cloaks, but quite similar to those for 2D cylindrical cloaks because a singularity is involved at the inner boundary in both the cases. The cloaking effect is confirmed by the electric field distribution in the vicinity of toroidal cloaks simulated from the generalized discrete-dipole approximation (DDA) method. This study extends the concept of electromagnetic cloaking of arbitrarily-shaped objects to a complex geometry.

© 2009 Optical Society of America

» View Full Text: Acrobat PDF (701 KB)

History
Original Manuscript: February 25, 2009
Manuscript Accepted: April 2, 2009
Revised Manuscript: March 30, 2009
Published: April 6, 2009

References

  1. A. J. Ward and J. B. Pendry, "Refraction and geometry in Maxwell’s equations," J. Mod. Opt. 43, 773-793 (1996).
  2. J. B. Pendry, D. Schurig, and D. R. Smith, "Controlling electromagnetic fields," Science 312, 1780-1782 (2006). [CrossRef]
  3. U. Leonhardt and T. G. Philbin, "General relativity in electrical engineering," New J. Phys. 8, 247 (2006). [CrossRef]
  4. 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]
  5. U. Leonhardt, "Optical conformal mapping," Science 312, 1777-1780 (2006). [CrossRef]
  6. U. Leonhardt, "Notes on conformal invisibility devices," New J. Phys. 8, 118 (2006). [CrossRef]
  7. D. Schurig, J. B. Pendry, and D. R. Smith, "Transformation-designed optical elements," Opt. Express 15, 14772-14782 (2007). [CrossRef]
  8. 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]
  9. H. Chen, B.-I. Wu, B. Zhang, and J. A. Kong, "Electromagnetic wave interaction with a metamaterial cloak," Phys. Rev. Lett. 99, 063903 (2007). [CrossRef]
  10. 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]
  11. H. Ma, S. Qu, Z. Xu, J. Zhang, B, Chen, and J. Wang, "Material parameter equation for elliptical cylindrical cloaks," Phys. Rev. A 77, 013825 (2008). [CrossRef]
  12. D.-H. Kwon and D. H. Werner, "Two-dimensional eccentric elliptic electromagnetic cloaks," Appl. Phys. Lett. 92, 013505 (2008). [CrossRef]
  13. W. X. Jiang, T. J. Cui, G. X. Yu, X. Q. Lin, Q. Cheng, and J. Y. Chin, "Arbitrarily elliptical-cylindrical invisible cloaking," J. Phys. D: Appl. Phys. 41, 085504 (2008). [CrossRef]
  14. M. Rahm, D. Schurig, D. A. Roberts, S. A. Cummer, D. R. Smith, and J. B. Pendry, "Design of electromagnetic cloaks and concentrators using form-invariant coordinate transformations of Maxwell’s equations," Photon. Nanostruct.: Fundam. Applic. 6, 87-95 (2008). [CrossRef]
  15. Y. You, G. W. Kattawar, P.-W. Zhai, and P. Yang, "Invisibility cloaks for irregular particles using coordinate transformations," Opt. Express 16, 6134-6145 (2008). [CrossRef]
  16. W. X. Jiang, J. Y. Chin, Z. Li, Q. Cheng, R. Liu, and T. J. Cui, "Analytical design of conformally invisible cloaks for arbitrarily shaped objects," Phys. Rev. E 77, 066607 (2008). [CrossRef]
  17. A. Nicolet, F. Zolla, and S. Guenneau, "Electromagnetic analysis of cylindrical cloaks of an arbitrary cross section," Opt. Lett. 33, 1584-1586 (2008). [CrossRef]
  18. C. Li and F. Li, "Two-dimensional electromagnetic cloaks with arbitrary geometries," Opt. Express 16, 13414-13420 (2008). [CrossRef]
  19. C. Li, K. Yao, and F. Li, "Two-dimensional electromagnetic cloaks with non-conformal inner and outer boundaries," Opt. Express 16, 19366-19374 (2008).
  20. W. Yan, M. Yan, Z. Ruan, and M. Qiu, "Coordinate transformations make perfect invisibility cloaks with arbitrary shape," New. J. Phys. 10, 043040 (2008). [CrossRef]
  21. H. Ma, S. Qu, Z. Xu, and J. Wang, "Approximation approach of designing practical cloaks with arbitrary shapes," Opt. Express 16, 15449-15454 (2008). [CrossRef]
  22. J. Hu, X. Zhou and G. Hu, "Design method for electromagnetic cloak with arbitrary shapes based on Laplace’s equation," Opt. Express 17, 1308-1320 (2009). [CrossRef]
  23. 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]
  24. I. I. Smolyaninov, Y. J. Hung, and C. C. Davis, "Two-dimensional metamaterial structure exhibiting reduced visibility at 500 nm," Opt. Lett. 33, 1342-1344 (2008). [CrossRef]
  25. W. Cai, U. K. Chettiar, A. V. Kildishev, and V. M. Shavlaev, "Optical cloaking with metamaterials," Nat. Photon. 1, 224-227 (2007). [CrossRef]
  26. P. Collins and J. McGuirk, "A novel methodology for deriving improved material parameter sets for simplified cylindrical cloaks," J. Opt. A 11, 015104 (2009).
  27. S. Xi, H. Chen, B. Zhang, B.-I. Wu, and J. A. Kong, "A route to quasi-perfect invisibility cylindrical cloaks without extreme values in the parameters," http://arxiv.org/abs/0812.1995 (2008).
  28. E. M. Purcell and C. R. Pennypacker, "Scattering and absorption of light by nonspherical dielectric grains," Astrophys. J. 186, 705-714 (1973).
  29. B. T. Draine, "The discrete-dipole approximation and its application to interstellar graphite grains," Astrophys. J. 333, 848-872 (1988).
  30. B. T. Draine and P. J. Flatau, "Discrete-dipole approximation for scattering calculations," J. Opt. Soc. Am. A 11, 1491-1499 (1994). [CrossRef]
  31. Y. You, G. W. Kattawar, P.-W. Zhai, and P. Yang, "Zero-backscatter cloak for aspherical particles using a generalized DDA formalism," Opt. Express 16, 2068-2079 (2008). [CrossRef]

Author Affiliations

Ping Yang

Department of Atmospheric Sciences, Texas A&M University

George W. Kattawar

Department of Physics and Institute for Quantum Studies, Texas A&M University

Yu You

Department of Physics, Texas A&M University

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