The geodesic form of light-ray trace in the inhomogeneous media
arXiv:0903.5401 · doi:10.1364/OE.17.011753
Abstract
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.
15 pages, 6 figures