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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 20, Iss. 27 — Dec. 17, 2012
  • pp: 28330–28340

Photorealistic ray tracing of free-space invisibility cloaks made of uniaxial dielectrics

Jad C. Halimeh and Martin Wegener  »View Author Affiliations


Optics Express, Vol. 20, Issue 27, pp. 28330-28340 (2012)
http://dx.doi.org/10.1364/OE.20.028330


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Abstract

The design rules of transformation optics generally lead to spatially inhomogeneous and anisotropic impedance-matched magneto-dielectric material distributions for, e.g., free-space invisibility cloaks. Recently, simplified anisotropic non-magnetic free-space cloaks made of a locally uniaxial dielectric material (calcite) have been realized experimentally. In a two-dimensional setting and for in-plane polarized light propagating in this plane, the cloaking performance can still be perfect for light rays. However, for general views in three dimensions, various imperfections are expected. In this paper, we study two different purely dielectric uniaxial cylindrical free-space cloaks. For one, the optic axis is along the radial direction, for the other one it is along the azimuthal direction. The azimuthal uniaxial cloak has not been suggested previously to the best of our knowledge. We visualize the cloaking performance of both by calculating photorealistic images rendered by ray tracing. Following and complementing our previous ray-tracing work, we use an equation of motion directly derived from Fermat’s principle. The rendered images generally exhibit significant imperfections. This includes the obvious fact that cloaking does not work at all for horizontal or for ordinary linear polarization of light. Moreover, more subtle effects occur such as viewing-angle-dependent aberrations. However, we still find amazingly good cloaking performance for the purely dielectric azimuthal uniaxial cloak.

© 2012 OSA

OCIS Codes
(080.0080) Geometric optics : Geometric optics
(080.2710) Geometric optics : Inhomogeneous optical media
(160.3918) Materials : Metamaterials
(230.3205) Optical devices : Invisibility cloaks

History
Original Manuscript: September 26, 2012
Manuscript Accepted: October 18, 2012
Published: December 6, 2012

Citation
Jad C. Halimeh and Martin Wegener, "Photorealistic ray tracing of free-space invisibility cloaks made of uniaxial dielectrics," Opt. Express 20, 28330-28340 (2012)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-20-27-28330


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References

  1. J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields,” Science312(5781), 1780–1782 (2006). [CrossRef] [PubMed]
  2. U. Leonhardt, “Optical conformal mapping,” Science312(5781), 1777–1780 (2006). [CrossRef] [PubMed]
  3. U. Leonhardt and T. G. Philbin, Geometry and Light: The Science of Invisibility (Dover, Mineola, 2010).
  4. C. M. Soukoulis and M. Wegener, “Past achievements and future challenges in the development of three-dimensional photonic metamaterials,” Nat. Photonics5, 523–530 (2011).
  5. H. Hashemi, B. Zhang, J. D. Joannopoulos, and S. G. Johnson, “Delay-Bandwidth and Delay-Loss Limitations for Cloaking of Large Objects,” Phys. Rev. Lett.104(25), 253903 (2010). [CrossRef] [PubMed]
  6. H. Chen and B. Zheng, “Broadband polygonal invisibility cloak for visible light,” Sci. Rep.2, 255 (2012). [CrossRef] [PubMed]
  7. D. Schurig, J. B. Pendry, and D. R. Smith, “Calculation of material properties and ray tracing in transformation media,” Opt. Express14(21), 9794–9804 (2006). [CrossRef] [PubMed]
  8. A. Akbarzadeh and A. J. Danner, “Generalization of ray tracing in a linear inhomogeneous anisotropic medium: a coordinate-free approach,” J. Opt. Soc. Am. A27(12), 2558–2562 (2010). [CrossRef] [PubMed]
  9. 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,” Science314(5801), 977–980 (2006). [CrossRef] [PubMed]
  10. J. C. Halimeh and M. Wegener, “Time-of-flight imaging of invisibility cloaks,” Opt. Express20(1), 63–74 (2012). [CrossRef] [PubMed]
  11. L. D. Landau, E. M. Lifshitz, and L. P. Pitaevskii, Electrodynamics of Continuous Media, Vol. 8 (Butterworth-Heinemann, Oxford, 1984).
  12. R. Schmied, J. C. Halimeh, and M. Wegener, “Conformal carpet and grating cloaks,” Opt. Express18(23), 24361–24367 (2010). [CrossRef] [PubMed]
  13. J. C. Halimeh, R. Schmied, and M. Wegener, “Newtonian photorealistic ray tracing of grating cloaks and correlation-function-based cloaking-quality assessment,” Opt. Express19(7), 6078–6092 (2011). [CrossRef] [PubMed]
  14. M. Born and E. Wolf, Principles of Optics, 7. Ed. (University Press, Cambridge, 1999).
  15. B. E. A. Saleh and M. C. Teich, Fundamentals of Photonics (John Wiley & Sons, Inc., 1999).
  16. M. Sluijter, D. K. G. de Boer, and J. J. M. Braat, “General polarized ray-tracing method for inhomogeneous uniaxially anisotropic media,” J. Opt. Soc. Am. A25(6), 1260–1273 (2008). [CrossRef] [PubMed]
  17. A. Weidlich and A. Wilkie, “Realistic rendering of birefringency in uniaxial crystals,” ACM Trans. Graph.27(10), 1–12 (2008).
  18. W. Cai, U. K. Chettiar, A. V. Kildishev, and V. M. Shalaev, “Optical cloaking with metamaterials,” Nat. Photonics1(4), 224–227 (2007). [CrossRef]
  19. T. Ergin, J. Fischer, and M. Wegener, “Optical phase cloaking of 700 nm light waves in the far field by a three-dimensional carpet cloak,” Phys. Rev. Lett.107(17), 173901 (2011). [CrossRef] [PubMed]
  20. S. Hrabar, I. Krois, and A. Kiricenko, “Towards active dispersionless ENZ metamaterial for cloaking applications,” Metamaterials (Amst.)4(2-3), 89–97 (2010). [CrossRef]
  21. S. Hrabar, I. Krois, I. Bonic, and A. Kiricenko, “Negative capacitor paves the way to ultra-broadband metamaterials,” Appl. Phys. Lett.99(25), 254103 (2011). [CrossRef]

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