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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 8 — Apr. 13, 2009
  • pp: 6203–6208

Guiding waves through an invisible tunnel

Jingjing Zhang, Yu Luo, Hongsheng Chen, Jiangtao Huangfu, Bae-Ian Wu, Lixin Ran, and Jin Au Kong  »View Author Affiliations

Optics Express, Vol. 17, Issue 8, pp. 6203-6208 (2009)

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Transformation optics provides a promising way to guide waves in the open space. It is shown that a small waveguide coated with transformation medium will behave as a big virtual tunnel connecting two waveguide ports separated faraway. The waves are transmitted and guided smoothly in the open space through this ‘invisible tunnel’. The transformation medium is obtained by squeezing the space between the two ports into a small region. Numerical simulations are performed to illustrate this idea.

© 2009 Optical Society of America

OCIS Codes
(260.2110) Physical optics : Electromagnetic optics
(350.4010) Other areas of optics : Microwaves
(160.3918) Materials : Metamaterials

ToC Category:
Physical Optics

Original Manuscript: February 3, 2009
Revised Manuscript: March 14, 2009
Manuscript Accepted: March 27, 2009
Published: April 1, 2009

Jingjing Zhang, Yu Luo, Hongsheng Chen, Jiangtao Huangfu, Bae-Ian Wu, Lixin Ran, and Jin Au Kong, "Guiding waves through an invisible tunnel," Opt. Express 17, 6203-6208 (2009)

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  1. E. J. Post, Formal structure of electromagnetics (Wiley, New York, 1962).
  2. J. B. Pendry, D. Schurig, and D. R. Smith, "Controlling Electromagnetic Fields," Science 312, 1780-1782 (2006). [CrossRef] [PubMed]
  3. U. Leonhardt, "Optical Conformal Mapping," Science 312, 1777-1780 (2006). [CrossRef] [PubMed]
  4. R. V. Kohn and M. Vogelius, "Identification of an unknown conductivity by means of measurements at the boundary," In Proc. Symp. Applied Mathematics of the American Mathematical Society and the Society for Industrial and Applied Mathematics, D.W. McLaughlin, ed. (SIAM-AMS Proc. No. 14, Amer. Math. Soc., Providence, 1984), pp. 113-123.
  5. A. Greenleaf, M. Lassas, and G. Uhlmann, "Anisotropic conductivities that cannot be detected by EIT," Physiol. Meas. 24, 413-419 (2003). [CrossRef] [PubMed]
  6. R. V. Kohn, H. Shen, M. S. Vogelius, and M. I. Weinstein, "Cloaking via change of variables in electric impedance tomography," Inverse Probl. 24, 015016 (2008). [CrossRef]
  7. 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]
  8. G. W. Milton, M. Briane, and J. R. Willis, "On cloaking for elasticity and physical equations with a transformation invariant form," New J. Phys. 8, 248 (2006). [CrossRef]
  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," Science 314, 977-980 (2006). [CrossRef] [PubMed]
  10. 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]
  11. 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]
  12. A. Nicolet, F. Zolla, and S. Guenneau, "Electromagnetic analysis of cylindrical cloaks of an arbitrary cross section," Opt Lett. 33, 1584-1586 (2008). [CrossRef] [PubMed]
  13. Y. Luo, H. S. 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]
  14. Y. Luo, J. Zhang, H. S. Chen, S. Xi, and B-I Wu, "Cylindrical cloak with axial permittivity/permeability spatially invariant," Appl. Phys. Letts. 93, 033504 (2008). [CrossRef]
  15. R. Weder, "A rigorous analysis of high-order electromagnetic invisibility cloaks," J. Phys. A: Math. Theor. 41, 065207 (2008). [CrossRef]
  16. R. Weder, "The boundary conditions for point transformed electromagnetic invisibility cloaks," J. Phys. A: Math. Theor. 41, 415401 (2008). [CrossRef]
  17. A. Nicolet, J.-F. Remacle, B. Meys, A. Genon, and W. Legros, "Transformation methods in computational electromagnetism," J. Appl. Phys. 75, 6036-6038 (1994). [CrossRef]
  18. A. J. Ward and J. B. Pendry, "Refraction and geometry in Maxwell’s equations," J. Mod. Opt. 43, 773-793 (1996). [CrossRef]
  19. A. Nicolet, S. Guenneau, and F. Zolla, "Modelling of twisted optical waveguides with edge elements," Eur. Phys. J. Appl. Phys. 28, 153-157 (2004). [CrossRef]
  20. A. Nicolet, A. B. Movchan, C. Geuzaine, F. Zolla, and S. Guenneau, "High order asymptotic analysis of twisted electrostatic problems," Physica B 394, 335-338 (2007). [CrossRef]
  21. S. Guenneau, B. Gralak, and J. B. Pendry, "Perfect corner reflector," Opt. Lett. 30, 1204-1206 (2005). [CrossRef] [PubMed]
  22. A. V. Kildishev and E. E. Narimanov, "Impedance-matched hyperlens," Opt. Lett. 32, 3432-3434 (2007). [CrossRef] [PubMed]
  23. H. Chen and C. T. Chan, "?Transformation media that rotate electromagnetic fields," Appl. Phys. Letts. 90, 241105 (2007). [CrossRef]
  24. D. H. Kwon and D. H. Werner, "Polarization splitter and polarization rotator designs based on transformation optics," Opt. Express 16, 18731-18738 (2008). [CrossRef]
  25. M. Rahm, D. A. Roberts, J. B. Pendry and D. R. Smith, "Transformation-optical design of adaptive beam bends and beam expanders," Opt. Express 16, 11555-11567 (2008). [CrossRef] [PubMed]
  26. J. Zhang, Y. Luo, H. S. Chen, and B. I. Wu, "Manipulating the directivity of antennas with metamaterial," Opt. Express 16, 10962-10967 (2008). [CrossRef] [PubMed]
  27. Y. Luo, J. Zhang, L. Ran, H. S. Chen, and J. A. Kong, "New Concept Conformal Antennas Utilizing Metamaterial and Transformation Optics," IEEE Ant. Wireless Propag. Lett. 7, 508-511 (2008).
  28. J. Zhang, Y. Luo, S. Xi, H. S. Chen, L. Ran, B.-I. Wu, and J. A. Kong, "Directive emission obtained by coordinate transformation," Prog. Electromag. Res. 81, 437-446 (2008). [CrossRef]
  29. V. G. Veselago, "The electrodynamics of substances with simultaneously negative values of ? and ?," Sov. Phys. Usp. 10, 509-514 (1968). [CrossRef]
  30. Y. Luo, J. Zhang, H. S. Chen, B-I. Wu, and J. A. Kong, "A new strategy to conceal an object from electromagnetic wave," arXiv: 0808. 0215 (2008).
  31. T. Yang, H. Chen, X. Luo, and H. Ma, "Superscatterer: Enhancement of scattering with complementary media," arXiv: 0807.5038 (2008).
  32. J. B. Pendry, "Negative Refraction Makes a Perfect Lens," Phys. Rev. Letts. 85, 3966-3969 (2000). [CrossRef]
  33. R. Weder, "Dielectric three dimensional electromagnetic tapers with no loss," IEEE J. Quantum Electron. 24, 775-779 (1988). [CrossRef]
  34. J. Huangfu, S. Xi, F. Kong, J. Zhang, H. S. Chen, D. Wang, B.-I. Wu, L. Ran, and J. A. Kong, "Application of coordinate transformation in bent waveguide," J. Appl. Phys. 104, 014502 (2008). [CrossRef]

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