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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 15, Iss. 20 — Oct. 1, 2007
  • pp: 12717–12734

Improvement of cylindrical cloaking with the SHS lining

A. Greenleaf, Y. Kurylev, M. Lassas, and G. Uhlmann  »View Author Affiliations


Optics Express, Vol. 15, Issue 20, pp. 12717-12734 (2007)
http://dx.doi.org/10.1364/OE.15.012717


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Abstract

We analyze the effectiveness of cloaking an infinite cylinder from observations by electromagnetic waves in three dimensions. We show that, as truncated approximations of the ideal permittivity and permeability material parameters tend towards the singular ideal cloaking values, the D and B fields blow up near the cloaking surface. Since the metamaterials used to implement cloaking are based on effective medium theory, the resulting large variation in D and B poses a challenge to the suitability of the field-averaged characterization of ε and μ. We also consider cloaking with and without the SHS (soft-and-hard surface) lining. We demonstrate numerically that cloaking is significantly improved by the SHS lining, with both the far field of the scattered wave significantly reduced and the blow up of D and B prevented.

© 2007 Optical Society of America

OCIS Codes
(160.1190) Materials : Anisotropic optical materials
(260.2110) Physical optics : Electromagnetic optics
(290.3200) Scattering : Inverse scattering

ToC Category:
Metamaterials

History
Original Manuscript: July 11, 2007
Revised Manuscript: September 14, 2007
Manuscript Accepted: September 16, 2007
Published: September 20, 2007

Citation
A. Greenleaf, Y. Kurylev, M. Lassas, and G. Uhlmann, "Improvement of cylindrical cloaking with the SHS lining," Opt. Express 15, 12717-12734 (2007)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-15-20-12717


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References

  1. A. Greenleaf, M. Lassas, and G. Uhlmann, "Anisotropic conductivities that cannot detected in EIT," Physiological Measurement (special issue on Impedance Tomography),  24, 413-420 (2003). [CrossRef]
  2. A. Greenleaf, M. Lassas and G. Uhlmann, "On nonuniqueness for Calder´on’s inverse problem," Math. Res. Lett. 10, 685-693 (2003).
  3. U. Leonhardt, "Optical conformal mapping," Science 312, 1777-1780 (2006).
  4. J. B. Pendry, D. Schurig and D. R. Smith, "Controlling electromagnetic fields," Science 312, 1780-1782 (2006).
  5. J. B. Pendry, D. Schurig, D. R. Smith, "Calculation of material properties and ray tracing in transformation media," Opt. Express 14, 9794 (2006).
  6. A. Greenleaf, Y. Kurylev, M. Lassas and G. Uhlmann, "Full-wave invisibility of active devices at all frequencies," ArXiv.org:math.AP/0611185v1,2,3 (2006); Commun. Math. Phys. 275, 749-789 (2007).
  7. S. Cummer, B.-I. Popa, D. Schurig, D. Smith and J. Pendry, "Full-wave simulations of electromagnetic cloaking structures," Phys. Rev. E2006 Sep; 74(3 Pt 2):036621. [CrossRef]
  8. D. Schurig, J. Mock, B. Justice, S. Cummer, J. Pendry, A. Starr and D. Smith, "Metamaterial electromagnetic cloak at microwave frequencies," Science 314, 977-980 (10 Nov. 2006).
  9. W. Cai, U. Chettiar, A. Kildshev and V. Shalaev, "Optical cloaking with metamaterials," Nat. Photonics  1, 224-227 (2007).
  10. H. Chen and C. T. Chan, "Transformation media that rotate electromagnetic fields," ArXiv.org:physics/0702050v1 (2007).
  11. F. Zolla, S. Guenneau, A. Nicolet and J. Pendry, "Electromagnetic analysis of cylindrical invisibility cloaks and the mirage effect," Opt. Lett. 32, 1069-1071 (2007). [CrossRef]
  12. G. Milton, M. Briane and J. Willis, "On cloaking for elasticity and physical equations with a transformation invariant form," New J. Phys. 8, 248 (2006). [CrossRef]
  13. S. Cummer and D. Schurig, "One path to acoustic cloaking," New J. Phys. 9, 45 (2007).
  14. G. Milton, "New metamaterials with macroscopic behavior outside that of continuum elastodynamics," ArXiv.org:070.2202v1 (2007).
  15. S. Schelkunoff and H. Friis, Antennas: Theory and Practice, (Chapman and Hall, New York, 1952) pp. 584-585.
  16. A. Moroz, "Some negative refractive index material headlines," http://www.wavescattering. com/negative.html.
  17. R. Weder, "A rigorous time-domain analysis of full-wave electromagnetic cloaking (Invisibility)," ArXiv.org:07040248v1,2,3 (2007).
  18. A. Greenleaf, Y. Kurylev, M. Lassas and G. Uhlmann, "Electromagnetic wormholes and virtual magnetic monopoles from metamaterials," ArXiv.org:math-ph/0703059; Phys. Rev. Lett. to appear.
  19. A. Greenleaf, Y. Kurylev, M. Lassas and G. Uhlmann, "Electromagnetic wormholes via handlebody constructions," ArXiv.org:0704.0914v1, submitted (2007).
  20. M. Yan, Z. Ruan, and M. Qiu, "Cylindrical invisibility cloak with simplified material parameters is inherently visible," ArXiv.org:0706.0655v1 (2007).
  21. Z. Ruan, M. Yan, C. Neff and M. Qiu, "Confirmation of cylindrical perfect invisibility cloak using Fourier-Besse analysis," ArXiv.org:0704.1183v1 (2007).
  22. P.-S. Kildal, "Definition of artificially soft and hard surfaces for electromagnetic waves," Electron. Lett. 24, 168-170 (1988). [CrossRef]
  23. P.-S. Kildal, "Artificially soft-and-hard surfaces in electromagnetics," IEEE Trans Antennas Propag. 10, 1537-1544 (1990).
  24. I. Hanninen, I. Lindell, and A. Sihvola, "Realization of generalized Soft-and-Hard Boundary," Progr. Electromagn. Res. 64, 317-333 (2006).
  25. I. M. Gel’fand and G. E. Shilov, Generalized Functions, I-V (Academic Press, New York, 1964).
  26. A. Bossavit, A. Computational electromagnetism. Variational formulations, complementarity, edge elements, (Academic Press Inc., San Diego, CA, 1998).
  27. I. Lindell, Differential Forms in Electromagnetics, (Wiley-IEEE Press, 2004).
  28. C. Colton and R. Kress, Inverse acoustic and electromagnetic scattering theory. Second edition. Appl. Math. Sci. (Springer-Verlag, Berlin, 1998) Vol. 93.
  29. M. Abramowitz and I. Stegun, Handbook of mathematical functions with formulas, graphs, and mathematical tables (U.S. Gov. Printing Office, Washington, D.C.,1964).
  30. G. Milton, The Theory of Composites (Cambridge U. Press, 2001).
  31. D. Smith and J. Pendry, "Homogenization of metamaterials by field averaging," J. Opt. Soc. Am. B 23, 391-403 (2006). [CrossRef]
  32. R. Kohn, H. Shen, M. Vogelius and M. Weinstein, "Cloaking via change of variables in electric impedance tomography," preprint, http://math.nyu.edu/faculty/kohn/papers/KSVW-cloaking.pdf> (2007).

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