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The geodesic form of light-ray trace in the inhomogeneous media

The canonical equations of the optical cloaking proposed by Shurig, Pendry and Smith has been proved to be equivalent to the geodesic in a 3-dimensional curved space. Carrying out the argument we extend to the 4-dimensional Riemannian space where the extra time item appears as the potential term in...

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Bibliographic Details
Published in:Optics express 2009-07, Vol.17 (14), p.11753-11767
Main Authors: Niu, Kai, Song, Ci, Ge, Mo-Lin
Format: Article
Language:English
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Summary:The canonical equations of the optical cloaking proposed by Shurig, Pendry and Smith has been proved to be equivalent to the geodesic in a 3-dimensional curved space. Carrying out the argument we extend to the 4-dimensional Riemannian space where the extra time item appears as the potential term in the canonical equations. The physical meaning of the results is interpreted.
ISSN:1094-4087
1094-4087
DOI:10.1364/OE.17.011753