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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 23 — Nov. 9, 2009
  • pp: 21326–21335

Equivalent configurations of optical transformation media

Tungyang Chen, Shen-Wen Cheng, and Chung-Ning Weng  »View Author Affiliations

Optics Express, Vol. 17, Issue 23, pp. 21326-21335 (2009)

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We demonstrate that a medium consisting of two adjoining distinct layers of transformation materials, corresponding respectively to two linear coordinate transformations, can behave effectively as that of the same region transformed by another linear transformation. The equivalence means that, irrespective of the direction of incident wave, the fields of the medium exterior to the transformed regions of the two configurations are exactly the same. This property can also apply to a domain that is transformed by a piecewise linear transformation function, and to a medium that is mapped by a general curved function. This proof is shown analytically based on a rigorous Fourier-Bessel analysis. The equivalence suggests that, for a given transformed domain, one can find an infinite number of complementary media that altogether can give a desired effective response of certain transformation path.

© 2009 OSA

OCIS Codes
(160.1190) Materials : Anisotropic optical materials
(260.2110) Physical optics : Electromagnetic optics
(160.2710) Materials : Inhomogeneous optical media

ToC Category:
Physical Optics

Original Manuscript: August 25, 2009
Revised Manuscript: October 21, 2009
Manuscript Accepted: November 2, 2009
Published: November 6, 2009

Tungyang Chen, Shen-Wen Cheng, and Chung-Ning Weng, "Equivalent configurations of optical 
transformation media," Opt. Express 17, 21326-21335 (2009)

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