OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 15, Iss. 19 — Sep. 17, 2007
  • pp: 11860–11873

The dark spots of Arago

Pascal Fischer, Susan E. Skelton, Christopher G. Leburn, Casey T. Streuber, Ewan M. Wright, and Kishan Dholakia  »View Author Affiliations


Optics Express, Vol. 15, Issue 19, pp. 11860-11873 (2007)
http://dx.doi.org/10.1364/OE.15.011860


View Full Text Article

Enhanced HTML    Acrobat PDF (3201 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We explore the diffraction and propagation of Laguerre-Gaussian beams of varying azimuthal index past a circular obstacle both experimentally and numerically. When the beam and obstacle centers are aligned the famous spot of Arago, which arises for zero azimuthal index, is replaced for non-zero azimuthal indices by a dark spot of Arago, a simple consequence of the conserved phase singularity at the beam center. We explore how the dark spot of Arago behaves as the beam and obstacle centers are progressively misaligned, and find that the central dark spot may break into several dark spots of Arago for higher incident azimuthal index beams.

© 2007 Optical Society of America

OCIS Codes
(050.1940) Diffraction and gratings : Diffraction
(350.5500) Other areas of optics : Propagation
(080.4865) Geometric optics : Optical vortices

ToC Category:
Physical Optics

History
Original Manuscript: June 15, 2007
Revised Manuscript: July 30, 2007
Manuscript Accepted: August 24, 2007
Published: September 4, 2007

Citation
Pascal Fischer, Susan E. Skelton, Christopher G. Leburn, Casey T. Streuber, Ewan M. Wright, and Kishan Dholakia, "The dark spots of Arago," Opt. Express 15, 11860-11873 (2007)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-15-19-11860


Sort:  Year  |  Journal  |  Reset  

References

  1. J. E. Harvey, and J. L. Forgham, "The Spot of Arago - New Relevance for an Old Phenomenon," Am. J. Phys. 52, 243-247 (1984). [CrossRef]
  2. A. Kolodziejczyk, Z. Jaroszewicz, R. Henao, and O. Quintero, "An experimental apparatus for white light imaging by means of a spherical obstacle," Am. J. Phys. 70, 169-172 (2002). [CrossRef]
  3. D. Chauvat, O. Emile, M. Brunel, and A. Le Floch, "Direct measurement of the central fringe velocity in Young-type experiments," Phys. Lett. A 295, 78-80 (2002). [CrossRef]
  4. K. Uno, M. Suzuki, and K. Fujii, "Experimental analysis of classical Arago point with white-light laser," Jpn. J. Appl. Phys., Part 2 40, L872-L874 (2001). [CrossRef]
  5. J. W. Goodman, Introduction to Fourier Optics (Roberts & Co, 2005).
  6. M. Born, and E. Wolf, in Principles of Optics (Pergamon, Oxford, 1990).
  7. E. A. Hovenac, "Fresnel Diffraction by Spherical Obstacles," Am. J. Phys. 57, 79-84 (1989). [CrossRef]
  8. D. McGloin, G. C. Spalding, H. Melville, W. Sibbett, and K. Dholakia, "Applications of spatial light modulators in atom optics," Opt. Express 11, 158-166 (2003). [CrossRef] [PubMed]
  9. S. Franke-Arnold, S. M. Barnett, E. Yao, J. Leach, J. Courtial, and M. Padgett, "Uncertainty principle for angular position and angular momentum," New J. Phys. 6, 103 (2004). [CrossRef]
  10. M. R. Dennis, "Rows of optical vortices from elliptically perturbing a high-order beam," Opt. Lett. 31, 1325-1327 (2006). [CrossRef] [PubMed]
  11. J. T. Malos, R. Dykstra, M. Vaupel, and C. O. Weiss, "Vortex streets in a cavity with higher-order standing waves," Opt. Lett. 22, 1056-1058 (1997). [CrossRef] [PubMed]
  12. G. Molina-Terriza, L. Torner, and D. V. Petrov, "Vortex streets in walking parametric wave mixing," Opt. Lett. 24, 899-901 (1999). [CrossRef]
  13. G. Molina-Terriza, D. V. Petrov, J. Recolons, and L. Torner, "Observation of optical vortex streets in walking second-harmonic generation," Opt. Lett. 27, 625-627 (2002). [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.

Multimedia

Multimedia FilesRecommended Software
» Media 1: GIF (46 KB)      QuickTime
» Media 2: GIF (46 KB)      QuickTime
» Media 3: GIF (82 KB)      QuickTime
» Media 4: GIF (439 KB)      QuickTime
» Media 5: GIF (174 KB)      QuickTime

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited