Equivalent configurations of optical transformation media

Tungyang Chen, Shen Wen Cheng, Chung Ning Weng

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)21326-21335
Number of pages10
JournalOptics Express
Issue number23
Publication statusPublished - 2009

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics


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