OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Franco Gori
  • Vol. 29, Iss. 7 — Jul. 1, 2012
  • pp: 1407–1411

Generalized laws of refraction that can lead to wave-optically forbidden light-ray fields

Johannes Courtial and Tomáš Tyc  »View Author Affiliations


JOSA A, Vol. 29, Issue 7, pp. 1407-1411 (2012)
http://dx.doi.org/10.1364/JOSAA.29.001407


View Full Text Article

Enhanced HTML    Acrobat PDF (277 KB) | SpotlightSpotlight on Optics Open Access





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

The recent demonstration of a metamaterial phase hologram so thin that it can be classified as an interface in the effective-medium approximation [Science 334, 333 (2011)] has dramatically increased interest in generalized laws of refraction. Based on the fact that scalar wave optics allows only certain light-ray fields, we divide generalized laws of refraction into two categories. When applied to a planar cross section through any allowed light-ray field, the laws in the first category always result in a cross section through an allowed light-ray field again, whereas the laws in the second category can result in a cross section through a forbidden light-ray field.

© 2012 Optical Society of America

OCIS Codes
(160.1245) Materials : Artificially engineered materials
(240.3990) Optics at surfaces : Micro-optical devices

ToC Category:
Materials

History
Original Manuscript: January 11, 2012
Revised Manuscript: April 25, 2012
Manuscript Accepted: May 14, 2012
Published: June 22, 2012

Virtual Issues
July 17, 2012 Spotlight on Optics

Citation
Johannes Courtial and Tomáš Tyc, "Generalized laws of refraction that can lead to wave-optically forbidden light-ray fields," J. Opt. Soc. Am. A 29, 1407-1411 (2012)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-29-7-1407


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. N. Yu, P. Genevet, M. A. Kats, F. Aieta, J.-P. Tetienne, F. Capasso, and Z. Gaburro, “Light propagation with phase discontinuities: generalized laws of reflection and refraction,” Science 334, 333–337 (2011). [CrossRef]
  2. H. O. Moser and C. Rockstuhl, “3D THz metamaterials from micro/nanomanufacturing,” Laser Photon. Rev. 6, 219–244 (2012). [CrossRef]
  3. M. Born and E. Wolf, Principles of Optics (Pergamon, 1980), Chap. 3.1.2.
  4. M. Born and E. Wolf, Principles of Optics (Pergamon, 1980), Chap. 3.1.1.
  5. J. F. Nye and M. V. Berry, “Dislocations in wave trains,” Proc. R. Soc. A 336, 165–190 (1974). [CrossRef]
  6. C. Paterson, “Diffractive optical elements with spiral phase dislocations,” J. Mod. Opt. 41, 757–765 (1994). [CrossRef]
  7. R. A. Hicks, “Controlling a ray bundle with a free-form reflector,” Opt. Lett. 33, 1672–1674 (2008). [CrossRef]
  8. A. C. Hamilton and J. Courtial, “Metamaterials for light rays: ray optics without wave-optical analog in the ray-optics limit,” New J. Phys. 11, 013042 (2009). [CrossRef]
  9. A. C. Hamilton and J. Courtial, “Optical properties of a Dove-prism sheet,” J. Opt. A 10, 125302 (2008). [CrossRef]
  10. M. Born and E. Wolf, Principles of Optics (Pergamon, 1980), Chap. 3.1.4.
  11. M. A. Green, J. Zhao, A. Wang, P. J. Reece, and M. Gal, “Efficient silicon light-emitting diodes,” Nature 412, 805–808 (2001). [CrossRef]
  12. M. Blair, L. Clark, E. A. Houston, G. Smith, J. Leach, A. C. Hamilton, and J. Courtial, “Experimental demonstration of a light-ray-direction-flipping METATOY based on confocal lenticular arrays,” Opt. Commun. 282, 4299–4302 (2009). [CrossRef]
  13. J. Courtial, B. C. Kirkpatrick, E. Logean, and T. Scharf, “Experimental demonstration of ray-optical refraction with confocal lenslet arrays,” Opt. Lett. 35, 4060–4062 (2010). [CrossRef]
  14. J. Courtial, N. Chen, S. Ogilvie, B. C. Kirkpatrick, A. C. Hamilton, G. Gibson, T. Tyc, E. Logean, and T. Scharf are preparing a manuscript to be called “Experimental demonstration of windows representing complex ray-optical refractive-index interfaces.”
  15. J. Courtial and T. Tyc, “METATOYs and optical vortices,” J. Opt. 13, 115704 (2011). [CrossRef]
  16. J. Courtial, “Ray-optical refraction with confocal lenslet arrays,” New J. Phys. 10, 083033 (2008). [CrossRef]
  17. A. C. Hamilton, B. Sundar, J. Nelson, and J. Courtial, “Local light-ray rotation,” J. Opt. A 11, 085705 (2009). [CrossRef]
  18. B. Sundar, A. C. Hamilton, and J. Courtial, “Fermat’s principle and the formal equivalence of local light-ray rotation and refraction at the interface between homogeneous media,” Opt. Lett. 34, 374–376 (2009). [CrossRef]
  19. J. Courtial, B. C. Kirkpatrick, and M. A. Alonso, “Imaging with complex ray-optical refractive-index interfaces between complex object and image distances,” Opt. Lett. 37, 701–703 (2012). [CrossRef]
  20. F. S. Roux, “Optical vortex density limitation,” Opt. Commun. 223, 31–37 (2003). [CrossRef]
  21. R. Zambrini, L. C. Thomson, S. M. Barnett, and M. Padgett, “Momentum paradox in a vortex core,” J. Mod. Opt. 52, 1135–1144 (2005). [CrossRef]

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.

Figures

Fig. 1. Fig. 2.
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited