OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Franco Gori
  • Vol. 30, Iss. 8 — Aug. 1, 2013
  • pp: 1563–1567

Optimization for nonmagnetic concentrator with minimized scattering

Shen-Yun Wang, Bing Yu, Shaobin Liu, and Borui Bian  »View Author Affiliations

JOSA A, Vol. 30, Issue 8, pp. 1563-1567 (2013)

View Full Text Article

Enhanced HTML    Acrobat PDF (746 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Based on the generalized transformation for a nonmagnetic cylindrical concentrator, we present nonlinear coordinate transformations to realize excellent concentrating performance with minimized scattering. By matching the impedance at both the inner and outer boundaries and utilizing nonlinear optimization techniques, the best parameters of the nonlinear transformation can be determined. Results show that the concentrating power is sensitive to the impedance at the inner interface. In addition, an alternating layered system consisting of nonmagnetic isotropic materials is applied to experimentally mimic the concentrator, and excellent concentrating performances have been observed.

© 2013 Optical Society of America

OCIS Codes
(160.1190) Materials : Anisotropic optical materials
(160.3918) Materials : Metamaterials

ToC Category:
Optical Devices

Original Manuscript: May 10, 2013
Revised Manuscript: June 20, 2013
Manuscript Accepted: June 21, 2013
Published: July 15, 2013

Shen-Yun Wang, Bing Yu, Shaobin Liu, and Borui Bian, "Optimization for nonmagnetic concentrator with minimized scattering," J. Opt. Soc. Am. A 30, 1563-1567 (2013)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields,” Science 312, 1780–1782 (2006). [CrossRef]
  2. U. Leonhardt, “Optical conformal mapping,” Science 312, 1777–1780 (2006). [CrossRef]
  3. 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]
  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. C. W. Qiu, A. Novitsky, H. Ma, and S. Qu, “Electromagnetic interaction of arbitrary radial-dependent anisotropic spheres and improved invisibility for nonlinear-transformation-based cloaks,” Phys. Rev. E 80, 016604 (2009). [CrossRef]
  6. C. W. Qiu, L. Hu, X. Xu, and Y. Feng, “Spherical cloaking with homogeneous isotropic multilayered structures,” Phys. Rev. E 79, 047602 (2009). [CrossRef]
  7. H. Ma, S. Qu, Z. Xu, and J. Wang, “The open cloak,” Appl. Phys. Lett. 94, 103501 (2009). [CrossRef]
  8. C. W. Qiu, L. Hu, and S. Zouhdi, “Isotropic non-ideal cloaks providing improved invisibility by adaptive segmentation and optimal refractive index profile from ordering isotropic materials,” Opt. Express 18, 14950–14959 (2010). [CrossRef]
  9. J. Li and J. B. Pendry, “Hiding under the carpet: a new strategy for cloaking,” Phys. Rev. Lett. 101, 203901 (2008). [CrossRef]
  10. R. Liu, J. J. Mock, J. Y. Chin, T. J. Cui, and D. R. Smith, “Broadband ground-plane cloak,” Science 323, 366–369 (2009). [CrossRef]
  11. X. Chen, Y. Luo, J. Zhang, K. Jiang, J. B. Pendry, and S. Zhang, “Macroscopic invisibility cloaking of visible light,” Nat. Commun. 2, 176 (2011). [CrossRef]
  12. B. Zhang, Y. Luo, X. Liu, and G. Barbastathis, “Macroscopic invisibility cloak for visible light,” Phys. Rev. Lett. 106, 033901 (2011). [CrossRef]
  13. D. Liang, J. Gu, J. Han, Y. Yang, S. Zhang, and W. Zhang, “Robust large dimension terahertz cloaking,” Adv. Mat. 24, 916–921 (2012). [CrossRef]
  14. H. Chen and C. T. Chan, “Transformation media that rotate electromagnetic fields,” Appl. Phys. Lett. 90, 241105 (2007). [CrossRef]
  15. K. Zhang, Q. Wu, F.-Y. Meng, and L. W. Li, “Arbitrary waveguide connector based on embedded optical transformation,” Opt. Express 18, 17273–17279 (2010). [CrossRef]
  16. H. Chen and C. T. Chan, “Electromagnetic wave manipulation by layered systems using the transformation media concept,” Appl. Phys. B 78, 054204 (2008).
  17. 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. Nanostr. Fundam. Appl. 6, 87–95 (2008). [CrossRef]
  18. W. Wang, L. Lin, J. Ma, C. Wang, J. Cui, C. Du, and X. Luo, “Electromagnetic concentrators with reduced material parameters based on coordinate transformation,” Opt. Express 16, 11431–11437 (2008). [CrossRef]
  19. W. X. Jiang, T. J. Cui, Q. Cheng, J. Y. Chin, X. M. Yang, R. Liu, and D. R. Smith, “Design of arbitrarily shaped concentrators based on conformally optical transformation of nonuniform rational B-spline surfaces,” Appl. Phys. Lett. 92, 264101 (2008). [CrossRef]
  20. A. Pandey and N. M. Litchinitser, “Nonlinear light concentrators,” Opt. Lett. 37, 5238–5240 (2012). [CrossRef]
  21. Y. Lai, J. Ng, H. Y. Chen, D. Z. Han, J. J. Xiao, Z.-Q. Zhang, and C. T. Chan, “Illusion optics: the optical transformation of an object into another object,” Phys. Rev. Lett. 102, 253902 (2009). [CrossRef]
  22. X. Zang and C. Jiang, “Overlapped optics, illusion optics, and an external cloak based on shifting media,” J. Opt. Soc. Am. B 28, 1994–2000 (2011). [CrossRef]
  23. K. Zhang, Q. Wu, J. H. Fu, and L. W. Li, “Cylindrical electromagnetic concentrator with only axial constitutive parameter spatially variant,” J. Opt. Soc. Am. B 28, 1573–1577 (2011). [CrossRef]
  24. B. Bian, S. Liu, S. Wang, X. Kong, Y. Guo, X. Zhao, B. Ma, and C. Chen, “Cylindrical optimized nonmagnetic concentrator with minimized scattering,” Opt. Express 21, A231–A240 (2013). [CrossRef]
  25. W. Cai, U. K. Chettiar, A. V. Kildishev, and V. M. Shalaev, “Nonmagnetic cloak with minimized scattering,” Appl. Phys. Lett. 91, 111105 (2007). [CrossRef]
  26. W. Yan, M. Yan, and M. Qiu, “Non-magnetic simplified cylindrical cloak with suppressed zeroth order scattering,” Appl. Phys. Lett. 93, 021909 (2008). [CrossRef]
  27. J. Zhang, Y. Luo, and N. A. Mortensen, “Minimizing the scattering of a nonmagnetic cloak,” Appl. Phys. Lett. 96, 113511 (2010). [CrossRef]
  28. L. Peng, L. Ran, and N. A. Mortensen, “The scattering of a cylindrical invisibility cloak: reduced parameters optimization,” J. Phys. D 44, 135101 (2011). [CrossRef]
  29. L. J. Huang, D. M. Zhou, J. Wang, Z. F. Li, X. S. Chen, and W. Lu, “Generalized transformation for nonmagnetic invisibility cloak with minimized scattering,” J. Opt. Soc. Am. B 28, 922–928 (2011). [CrossRef]
  30. L. J. Huang, D. M. Zhou, J. Wang, Z. F. Li, X. S. Chen, and W. Lu, “Scattering characteristics of nonmagnetic invisibility cloak with minimized scattering,” Opt. Commun. 284, 5523–5530 (2011). [CrossRef]
  31. B. Wood, J. B. Pendry, and D. P. Tsai, “Directed subwavelength imaging using a layered metal-dielectric system,” Phys. Rev. B 74, 115116 (2006). [CrossRef]
  32. Z. Jacob, L. Alekseyev, and E. Narimanov, “Optical hyperlens: far-field imaging beyond the diffraction limit,” Opt. Express 14, 8247–8256 (2006). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited