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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 16, Iss. 26 — Dec. 22, 2008
  • pp: 21215–21222

Optical source transformations

N. Kundtz, D. A. Roberts, J. Allen, S. Cummer, and D. R. Smith  »View Author Affiliations


Optics Express, Vol. 16, Issue 26, pp. 21215-21222 (2008)
http://dx.doi.org/10.1364/OE.16.021215


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Abstract

Transformation optics is a recently appreciated methodology for the design of complex media that control the propagation of electromagnetic and other types of waves. The transformation optical technique involves the use of coordinate transformations applied to some region of space, providing a conceptual means to redirect the flow of waves. Successfully designed devices to date have made use of transformations acting on passive space only; however, the technique can also be applied when source distributions (e.g., current and charge) are included within the space being transformed. In this paper we present examples of source transformations that illustrate the potential of these expanded transformation optical methods. In particular, using finite-element full-wave simulations, we confirm the restoration of dipole radiation patterns from both a distorted ‘pin-wheel’ antenna and a bent dipole partially occluded by a cylindrical scatterer. We propose the technique of source transformations as a powerful approach for antenna design, especially in relation to conformal antennas.

© 2008 Optical Society of America

OCIS Codes
(070.4690) Fourier optics and signal processing : Morphological transformations
(160.3918) Materials : Metamaterials

ToC Category:
Metamaterials

History
Original Manuscript: November 5, 2008
Revised Manuscript: December 4, 2008
Manuscript Accepted: December 4, 2008
Published: December 8, 2008

Citation
N. Kundtz, D. A. Roberts, J. Allen, S. Cummer, and D. R. Smith, "Optical source transformations," Opt. Express 16, 21215-21222 (2008)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-16-26-21215


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References

  1. J. B. Pendry, D. Schurig, and D. R. Smith, "Controlling Electromagnetic Fields," Science 312, 1780-1782 (2006). [CrossRef] [PubMed]
  2. V. M. Shalaev, "Transforming light," Science 322, 384-386 (2008). [CrossRef] [PubMed]
  3. J. Plebanski, "Electromagnetic Waves in Gravitational Fields," Phys. Rev. 118, 1396-1408 (1960). [CrossRef]
  4. E. J. Post, Formal Structure of Electromagnetics (Dover Publications, Inc., New York, 1962).
  5. U. Leonhardt and T. Philbin, "General Relativity in Electrical Engineering," New J. Phys. 8, 247 (2006). [CrossRef]
  6. A. J. Ward and J. B. Pendry, "Refraction and geometry in Maxwells equations," J. Mod. Opt. 43, 773-793.
  7. D. R. Smith, J. B. Pendry, and M. C. K. Wiltshire, "Metamaterials and negative refraction," Science 305, 788-792 (2004). [CrossRef] [PubMed]
  8. 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]
  9. U. Leonhardt,"Optical Conformal Mapping," Science 312, 1777-1779 (2006). [CrossRef] [PubMed]
  10. Y. Luo, J. Zhang, B.-I. Wu, and H. Chen, "Interaction of an electromagnetic wave with a cone-shaped invisibility cloak and polarization rotator," Phys. Rev. B 78, 125108 (2008). [CrossRef]
  11. 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 41, 085504 (2008). [CrossRef]
  12. C. Li and F. Li, "Two-dimensional electromagnetic cloaks with arbitrary geometries," Opt. Express 16, 13414-13420 (2008). [CrossRef] [PubMed]
  13. W. S. Cai, U. K. Chettiar, A. V. Kildishev, and V. M. Shalaev, "Designs for optical cloaking with high-order transformations," Opt. Express 16, 5444-5452 (2008). [CrossRef] [PubMed]
  14. A. Greenleaf, Y. Kurylev, M. Lassas, and G. Uhlmann, "Electromagnetic wormholes and virtual magnetic monopoles from metamaterials," Phys. Rev. Lett. 99, 183901 (2007). [CrossRef] [PubMed]
  15. D. Schurig, J. B. Pendry, and D. R. Smith, "Transformation-designed optical elements," Opt. Express 15, 14772-14782 (2007). [CrossRef] [PubMed]
  16. M. Tang and D. Psaltis, "Magnifying perfect lens and superlens design by coordinate transformation," Phys. Rev. B 77, 035122 (2008). [CrossRef]
  17. 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]
  18. Yu Luo, J. Zhang, L. Ran, H. Chen, and J. A. Kong, "Controlling the Emission of Electromagnetic Source," PIERS 4, 795-800 (2008). [CrossRef]
  19. H. Chen and C. T. Chan, "Transformation media that rotate electromagnetic fields," Appl. Phys. Lett. 90, 241105 (2007). [CrossRef]
  20. Y. Luo, H. Chen, J. Zhang, L. Ran, and J. A. Kong,"Design and analytical full-wave validation of the invisibility cloaks, concentrators, and field rotators created with a general class of transformations," Phys. Rev. B 77, 125127 (2008) [CrossRef]
  21. 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]

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