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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 18, Iss. 13 — Jun. 21, 2010
  • pp: 14093–14106

A non-reflecting metamaterial slab under the finite-embedded coordinate transformation

Il-Min Lee, Seung-Yeol Lee, Kyoung-Youm Kim, and Byoungho Lee  »View Author Affiliations


Optics Express, Vol. 18, Issue 13, pp. 14093-14106 (2010)
http://dx.doi.org/10.1364/OE.18.014093


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Abstract

Under the restrictions that the mapping functions of transformation are defined in extended two-dimensional (2D) forms and the incident waves are 2D propagating fields, the conditions for non-reflecting boundaries in a finite-embedded coordinate transformation metamaterial slab are derived. By exploring several examples, including some reported in the literatures and some novel ones developed in this study, we show that our approach can be efficiently used to determine the condition for a finite-embedded coordinate transformed metamaterial slab to be non-reflecting.

© 2010 OSA

OCIS Codes
(230.0230) Optical devices : Optical devices
(160.3918) Materials : Metamaterials
(070.7345) Fourier optics and signal processing : Wave propagation

ToC Category:
Physical Optics

History
Original Manuscript: May 17, 2010
Revised Manuscript: June 7, 2010
Manuscript Accepted: June 9, 2010
Published: June 15, 2010

Citation
Il-Min Lee, Seung-Yeol Lee, Kyoung-Youm Kim, and Byoungho Lee, "A non-reflecting metamaterial slab under the finite-embedded coordinate transformation," Opt. Express 18, 14093-14106 (2010)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-18-13-14093


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References

  1. J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields,” Science 312(5781), 1780–1782 (2006). [CrossRef]
  2. A. Ward and J. Pendry, “Refraction and geometry in Maxwell's equations,” J. Mod. Opt. 43, 773–793 (1996).
  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(5801), 977–980 (2006). [CrossRef]
  4. J. S. Li and J. B. Pendry, “Hiding under the carpet: a new strategy for cloaking,” Phys. Rev. Lett. 101(20), 203901 (2008). [CrossRef]
  5. S. A. Cummer, B. I. Popa, D. Schurig, D. R. Smith, J. Pendry, M. Rahm, and A. Starr, “Scattering theory derivation of a 3D acoustic cloaking shell,” Phys. Rev. Lett. 100(2), 024301 (2008). [CrossRef]
  6. S. Zhang, D. A. Genov, C. Sun, and X. Zhang, “Cloaking of matter waves,” Phys. Rev. Lett. 100(12), 123002 (2008). [CrossRef]
  7. H. Y. Chen, X. D. Luo, H. R. Ma, and C. T. Chan, “The anti-cloak,” Opt. Express 16(19), 14603–14608 (2008). [CrossRef]
  8. 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(15), 11555–11567 (2008). [CrossRef]
  9. M. Rahm, D. Schurig, D. Roberts, S. Cummer, D. Smith, and J. Pendry, “Design of electromagnetic cloaks and concentrators using form-invariant coordinate transformations of Maxwell’s equations,” Photonics Nanostruct. Fundam. Appl. 6(1), 87–95 (2008). [CrossRef]
  10. N. Kundtz, D. A. Roberts, J. Allen, S. Cummer, and D. R. Smith, “Optical source transformations,” Opt. Express 16(26), 21215–21222 (2008). [CrossRef]
  11. 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(25), 253902 (2009). [CrossRef]
  12. 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(6), 063903 (2008). [CrossRef]
  13. W. Yan, M. Yan, and M. Qiu, “Necessary and sufficient conditions for reflectionless transformation media in an isotropic and homogenous background,” arXiv:0806.3231v1 (2008).
  14. L. Bergamin, “Electromagnetic fields and boundary conditions at the interface of generalized transformation media,” Phys. Rev. A 80(6), 063835 (2009). [CrossRef]
  15. I.-M. Lee, “Study on the transmission characteristics of the optical waves in photonic metamaterials,” PhD Dissertation (School of Electrical Engineering, Seoul National University, Seoul, Korea, 2009).
  16. P. Zhang, Y. Jin, and S. He, “Inverse transformation optics and reflection analysis for two-dimensional finite embedded coordinate transformation,” arXiv:0906.2038v2 (2009).
  17. I. Gallina, G. Castaldi, V. Galdi, A. Alù, and N. Engheta, “General class of metamaterial transformation slabs,” Phys. Rev. B 81(12), 125124 (2010). [CrossRef]
  18. “Comsol multiphysics” (Comsol AB), < http://www.comsol.com >.

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