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. 27, Iss. 11 — Nov. 1, 2010
  • pp: 2524–2531

Programmable unitary spatial mode manipulation

Jean-François Morizur, Lachlan Nicholls, Pu Jian, Seiji Armstrong, Nicolas Treps, Boris Hage, Magnus Hsu, Warwick Bowen, Jiri Janousek, and Hans-A. Bachor  »View Author Affiliations


JOSA A, Vol. 27, Issue 11, pp. 2524-2531 (2010)
http://dx.doi.org/10.1364/JOSAA.27.002524


View Full Text Article

Enhanced HTML    Acrobat PDF (522 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

Free space propagation and conventional optical systems such as lenses and mirrors all perform spatial unitary transforms. However, the subset of transforms available through these conventional systems is limited in scope. We present here a unitary programmable mode converter (UPMC) capable of performing any spatial unitary transform of the light field. It is based on a succession of reflections on programmable deformable mirrors and free space propagation. We first show theoretically that a UPMC without limitations on resources can perform perfectly any transform. We then build an experimental implementation of the UPMC and show that, even when limited to three reflections on an array of 12 pixels, the UPMC is capable of performing single mode tranforms with an efficiency greater than 80% for the first four modes of the transverse electromagnetic basis.

© 2010 Optical Society of America

OCIS Codes
(110.5100) Imaging systems : Phased-array imaging systems
(230.6120) Optical devices : Spatial light modulators
(110.1080) Imaging systems : Active or adaptive optics

ToC Category:
Imaging Systems

History
Original Manuscript: June 14, 2010
Revised Manuscript: September 24, 2010
Manuscript Accepted: September 24, 2010
Published: October 29, 2010

Citation
Jean-François Morizur, Lachlan Nicholls, Pu Jian, Seiji Armstrong, Nicolas Treps, Boris Hage, Magnus Hsu, Warwick Bowen, Jiri Janousek, and Hans-A. Bachor, "Programmable unitary spatial mode manipulation," J. Opt. Soc. Am. A 27, 2524-2531 (2010)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-27-11-2524


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. J. Fade, N. Treps, C. Fabre, and P. Réfrégier, “Optimal precision of parameter estimation in images with local sub-Poissonian quantum fluctuations,” Eur. Phys. J. D 50, 215–227 (2008). [CrossRef]
  2. A. Preumont, R. Bastaits, and G. Rodrigues, “Scale effects in active optics of large segmented mirrors,” Mechatronics 19, 1286–1293 (2009). [CrossRef]
  3. P. Török and F.-J. Kao, “Optical imaging and microscopy,” Springer Ser. Opt. Sci. 87, 75–85 (2007).
  4. A. Roorda, F. Romero-Borja, W. Donnelly, H. Queener, T. Hebert, and M. Campbell, “Adaptive optics scanning laser ophthalmoscopy,” Opt. Express 10, 405–412 (2002). [PubMed]
  5. J. Leach, M. Padgett, S. Barnett, S. Franke-Arnold, and J. Courtial, “Measuring the orbital angular momentum of a single photon,” Phys. Rev. Lett. 88, 257901 (2002). [CrossRef] [PubMed]
  6. J. F. W. Herschel, “The telescope,” Encyclopedia Britannica (Adam and Charles Black, 1861), p. 190.
  7. B. Potsaid and J. T.-Y. Wen, “Design of adaptive optics based systems by using mems deformable mirror models,” Int. J. Optomechatronics 2, 104–125 (2008). [CrossRef]
  8. Z. I. Borevich and S. L. Krupetskii, “Subgroups of the unitary group that contain the group of diagonal matrices,” J. Math. Sci. (N.Y.) 17, 1951–1959 (1981). [CrossRef]
  9. M.-L. Hsieh, M.-L. Chen, and C.-J. Cheng, “Improvement of the complex modulated characteristic of cascaded liquid crystal spatial light modulators by using a novel amplitude compensated technique,” Opt. Eng. (Bellingham) 46, 070501 (2007). [CrossRef]
  10. V. Bagnoud and J. Zuegel, “Independent phase and amplitude control of a laser beam by use of a single-phase-only spatial light modulator,” Opt. Lett. 29, 295–297 (2004). [CrossRef] [PubMed]
  11. A. E. Siegman, Lasers (University Science Books, 1986), p. 1283.
  12. D. Serre, Matrices: Theory and Applications (Springer, 2002), p. 202.
  13. H. D. Ikramov. Linear Algebra: Problems Book (Victor Kamkin, 1984).
  14. F. Wyrowski, “Upper bound of the diffraction efficiency of diffractive phase elements,” Opt. Lett. 16, 1915–1917 (1991). [CrossRef] [PubMed]
  15. J. W. Tay, M. A. Taylor, and W. P. Bowen, “Sagnac-interferometer-based characterization of spatial light modulators,” Appl. Opt. 48, 2236–2242 (2009). [CrossRef] [PubMed]
  16. T. Shirai, “Liquid-crystal adaptive optics based on feedback interferometry for high-resolution retinal imaging,” Appl. Opt. 41, 4013–4023 (2002). [CrossRef] [PubMed]
  17. S. Kirkpatrick, C. D. Gelatt, and M. P. Vecchi, “Optimization by simulated annealing,” Science 220, 671–680 (1983). [CrossRef] [PubMed]
  18. V. Delaubert, N. Treps, M. Lassen, C. Harb, C. Fabre, P. K. Lam, and H.-A. Bachor, “TEM10 homodyne detection as an optimal small-displacement and tilt-measurement scheme,” Phys. Rev. A 74, 053823 (2006). [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