OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 14 — Jul. 6, 2009
  • pp: 11753–11767

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

Kai Niu, Ci Song, and Mo-Lin Ge  »View Author Affiliations

Optics Express, Vol. 17, Issue 14, pp. 11753-11767 (2009)

View Full Text Article

Enhanced HTML    Acrobat PDF (565 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



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.

© 2009 Optical Society of America

OCIS Codes
(080.2710) Geometric optics : Inhomogeneous optical media
(080.2720) Geometric optics : Mathematical methods (general)
(260.1180) Physical optics : Crystal optics

Original Manuscript: March 31, 2009
Revised Manuscript: June 5, 2009
Manuscript Accepted: June 5, 2009
Published: June 29, 2009

Kai Niu, Ci Song, and Mo-Lin Ge, "The geodesic form of light-ray trace in the inhomogeneous media," Opt. Express 17, 11753-11767 (2009)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. J. B. Pendry, D. Schurig, and D. R. Smith, "Controlling electromagnetic fields," Science 312, 1780-1782 (2006). [CrossRef] [PubMed]
  2. D. Schurig, J. B. Pendry, and D. R. Smith, "Calculation of material properties and ray tracing in transformation media," Opt. Express 14, 9794-9804 (2006). [CrossRef] [PubMed]
  3. U. Leonhardt, "Optical Conformal Mapping," Science 312(5781), 1777-1780 (2006). [CrossRef]
  4. S. Cummer, B.-I. Popa, D. Schurig, D. Smith, and J. Pendry, "Full-wave simulations of electromagnetic cloaking structures," Phys. Rev. E 74, 036621 (2006). [CrossRef]
  5. Z. Liang, P. Yao, X. Sun, and X. Jiang, "The physical picture and the essential elements of the dynamical process for dispersive cloaking structures," Appl. Phys. Lett. 92, 131118 (2008). [CrossRef]
  6. Z. Ruan, M. Yan, C. Neff, and M. Qiu, "Ideal Cylindrical Cloak: Perfect but Sensitive to Tiny Perturbations," Phys. Rev. Lett. 99, 113903 (2007). [CrossRef]
  7. H. Chen, B.-I. Wu, B. Zhang, and J. Kong, "ElectromagneticWave Interactions with a Metamaterial Cloak," Phys. Rev. Lett. 99, 063903 (2007).
  8. D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, D. R. Smith, "Metamaterial Electromagnetic Cloak at Microwave Frequencies," Science 314, 977-980 (2006). [CrossRef] [PubMed]
  9. L. D.  Landau and E. M. Lifshitz, The Classical Theory of Fields (Oxford: Butterworth-Heinemann, 1995).
  10. J. Plebanski, "Electromagnetic Waves in Gravitational Fields," Phys. Rev. 118, 1396 (1960). [CrossRef]
  11. Y. Kravtsov and Y. I. Orlov, Geometrical optics of inhomogeneous media (Springer-Verlag, Berlin, 1990).
  12. G. T. del Castillo and C. P. Sánchez, "Uniformly accelerated observers in special relativity," Revista Mexicana De Físic 52, 70-73 (2006).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


Fig. 1. Fig. 2. Fig. 3.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited