OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 16, Iss. 22 — Oct. 27, 2008
  • pp: 17808–17816

Tight focusing of plane waves from micro-fabricated spherical mirrors

J. Goldwin and E. A. Hinds  »View Author Affiliations


Optics Express, Vol. 16, Issue 22, pp. 17808-17816 (2008)
http://dx.doi.org/10.1364/OE.16.017808


View Full Text Article

Enhanced HTML    Acrobat PDF (194 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We derive a formula for the light field of a monochromatic plane wave that is truncated and reflected by a spherical mirror. Within the scalar field approximation, our formula is valid even for deep mirrors, where the aperture radius approaches the radius of curvature. We apply this result to micro-fabricated mirrors whose size scales are in the range of tens to hundreds of wavelengths, and show that sub-wavelength focusing (full-width at half-maximum intensity) can be achieved. This opens up the possibility of scalable arrays of tightly focused optical dipole traps without the need for high-performance optical systems.

© 2008 Optical Society of America

OCIS Codes
(020.7010) Atomic and molecular physics : Laser trapping
(260.1960) Physical optics : Diffraction theory
(130.3990) Integrated optics : Micro-optical devices

ToC Category:
Physical Optics

History
Original Manuscript: September 15, 2008
Revised Manuscript: October 9, 2008
Manuscript Accepted: October 15, 2008
Published: October 17, 2008

Citation
J. Goldwin and E. A. Hinds, "Tight focusing of plane waves from micro-fabricated spherical mirrors," Opt. Express 16, 17808-17816 (2008)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-16-22-17808


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. N. Schlosser, G. Reymond, I. Protsenko, and P. Grangier, "Sub-poissonian loading of single atoms in a microscopic dipole trap," Nature (London) 411, 1024-1027 (2001). [CrossRef]
  2. N. Schlosser, G. Reymond, and P. Grangier, "Collisional Blockade in Microscopic Optical Dipole Traps," Phys. Rev. Lett. 89, 023005 (2002). [CrossRef] [PubMed]
  3. Y. R. P. Sortais, H. Marion, C. Tuchendler, A. M. Lance, M. Lamare, P. Fournet, C. Armellin, R. Mercier, G. Messin, A. Browaeys, and P. Grangier, "Diffraction-limited optics for single-atom manipulation," Phys. Rev. A 75, 013406 (2007). [CrossRef]
  4. B. Darquie, M. P. A. Jones, J. Dingjan, J. Beugnon, S. Bergamini, Y. Sortais, G. Messin, A. Browaeys, and P. Grangier, "Controlled Single-Photon Emission from a Single Trapped Two-Level Atom," Science 309, 454-456 (2005). [CrossRef] [PubMed]
  5. M. Weber, J. Volz, K. Saucke, C. Kurtsiefer, and H. Weinfurter, "Analysis of a single-atom dipole trap," Phys. Rev. A 73, 043406 (2006). [CrossRef]
  6. M. K. Tey, Z. Chen, S. A. Aljunid, B. Chng, F. Huber, G. Maslennikov, and C. Kurtsiefer, "Strong interaction between light and a single trapped atom without a cavity," arXiv:0802.3005v3 (2008), http://uk.arxiv.org/abs/0802.3005v3.
  7. B. Lounis and M. Orrit, "Single-photon sources," Rep. Prog. Phys. 68, 1129-1179 (2005). [CrossRef]
  8. E. Waks, C. Santori, and Y. Yamamoto, "Security aspects of quantum key distribution with sub-Poisson light," Phys. Rev. A 66, 042315 (2002). [CrossRef]
  9. E. Knill, R. Laflamme, and G. J. Milburn, "A scheme for efficient quantum computation with linear optics," Nature (London) 409, 46-52 (2001). [CrossRef]
  10. M. Oxborrow and A. G. Sinclair, "Single-photon sources," Contemp. Phys. 46, 173-206 (2005). [CrossRef]
  11. M. Sondermann, R. Maiwald, H. Konermann, N. Lindlein, U. Peschel, and G. Leuchs, "Design of a mode converter for efficient light-atom coupling in free space," Appl. Phys. B 89, 489-482 (2007). [CrossRef]
  12. S. J. van Enk and H. J. Kimble, "Strongly focused light beams interacting with single atoms in free space," Phys. Rev. A 63, 023809 (2001).
  13. M. K. Tey, S. A. Aljunid, F. Huber, B. Chng, Z. Chen, G. Maslennikov, and C. Kurtsiefer, "Interfacing light and single atoms with a lens," arXiv:0804.4861v2 (2008), http://uk.arxiv.org/abs/0804.4861v2.
  14. S. Eriksson, M. Trupke, H. F. Powell, D. Sahagun, C. D. J. Sinclair, E. A. Curtis, B. E. Sauer, E. A. Hinds, Z. Moktadir, C. O. Gollasch, and M. Kraft, "Integrated optical components on atom chips," Eur. Phys. J. D 35, 135-139 (2005). [CrossRef]
  15. M. Trupke, E. A. Hinds, S. Eriksson, E. A. Curtis, Z. Moktadir, E. Kukharenka, and M. Kraft, "Microfabricated high-finesse optical cavity with open access and small volume," Appl. Phys. Lett. 87, 211106 (2005). [CrossRef]
  16. For a recent review of atom chip experiments, see J. Fort’agh and C. Zimmermann, "Magnetic microtraps for ultracold atoms," Rev. Mod. Phys. 79, 235 (2007). [CrossRef]
  17. M. Born and E. Wolf, Principles of Optics, 7th edition, (Cambridge University Press, Cambridge, 1999).
  18. The software used in this work is available from http://ab-initio.mit.edu/wiki/index.php/Meep.
  19. A. Taflove and S. C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method, (Artech, Norwood, MA, 2000).
  20. A. Farjadpour, D. Roundy, A. Rodriguez, M. Ibanescu, P. Bermel, J. D. Joannopoulos, S. G. Johnson, and G. Burr, "Improving accuracy by subpixel smoothing in the finite-difference time domain," Opt. Lett. 31, 2972- 2974 (2006). [CrossRef] [PubMed]
  21. M. Lax, W. H. Louisell, and W. B. McKnight, "From Maxwell to paraxial wave optics," Phys. Rev. A 11, 1365-1370 (1975). [CrossRef]
  22. G. P. Agrawal and M. Lax, "Free-space wave propagation beyond the paraxial approximation," Phys. Rev. A 27, 1693-1695 (1983). [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.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited