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 the canonical equations. The physical meaning of the results is interpreted.
Niu
Kai
K
Theoretical Physics Division, Chern Institute of Mathematics, Nankai University, Tianjin 300071, PR China. niukai@mail.nankai.edu.cn
Song
Ci
C
Ge
Mo-Lin
ML