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Optics Letters

Optics Letters


  • Editor: Alan E. Willner
  • Vol. 37, Iss. 23 — Dec. 1, 2012
  • pp: 4826–4828

Shaping Laguerre–Gaussian laser modes with binary gratings using a digital micromirror device

Vitaly Lerner, David Shwa, Yehonathan Drori, and Nadav Katz  »View Author Affiliations

Optics Letters, Vol. 37, Issue 23, pp. 4826-4828 (2012)

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Laguerre–Gaussian (LG) beams are used in many research fields, including microscopy, laser cavity modes, and optical tweezing. We developed a holographic method to generate pure LG modes (amplitude and phase) with a binary amplitude-only digital micromirror device (DMD) as an alternative to the commonly used phase-only spatial light modulator. The advantages of such a DMD include very high frame rates, low cost, and high damage thresholds. We have shown that the propagating shaped beams are self-similar and their phase fronts are of helical shape as demanded. We estimate the purity of the resultant beams to be above 94%.

© 2012 Optical Society of America

OCIS Codes
(030.4070) Coherence and statistical optics : Modes
(120.4820) Instrumentation, measurement, and metrology : Optical systems
(140.3300) Lasers and laser optics : Laser beam shaping
(090.1995) Holography : Digital holography

ToC Category:
Lasers and Laser Optics

Original Manuscript: September 19, 2012
Revised Manuscript: October 9, 2012
Manuscript Accepted: October 9, 2012
Published: November 16, 2012

Virtual Issues
Vol. 8, Iss. 1 Virtual Journal for Biomedical Optics

Vitaly Lerner, David Shwa, Yehonathan Drori, and Nadav Katz, "Shaping Laguerre–Gaussian laser modes with binary gratings using a digital micromirror device," Opt. Lett. 37, 4826-4828 (2012)

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  1. M. Padgett and L. Allen, Opt. Commun. 121, 36(1995). [CrossRef]
  2. L. Allen, M. Beijersbergen, R. Spreeuw, and J. Woerdman, Phys. Rev. A 45, 8185 (1992). [CrossRef]
  3. A. T. O’Neill and M. J. Padgett, Opt. Commun. 193, 45 (2001). [CrossRef]
  4. J. Arlt, T. Hitomi, and K. Dholakia, Appl. Phys. B 71, 549 (2000). [CrossRef]
  5. D. Petrov, Phys. Rev. A 82, 035801 (2010). [CrossRef]
  6. J. Torres, Y. Deyanova, L. Torner, and G. Molina-Terriza, Phys. Rev. A 67, 052313 (2003). [CrossRef]
  7. L. Hu, L. Xuan, Y. Liu, Z. Cao, D. Li, and Q. Mu, Opt. Express 12, 6403 (2004). [CrossRef]
  8. N. Matsumoto, T. Ando, T. Inoue, Y. Ohtake, N. Fukuchi, and T. Hara, J. Opt. Soc. Am. A 25, 1642 (2008). [CrossRef]
  9. S. A. Kennedy, M. J. Szabo, H. Teslow, J. Z. Porterfield, and E. R. I. Abraham, Phys. Rev. A 66, 043801 (2002). [CrossRef]
  10. J. Otona, M. S. Millana, P. Ambs, and E. Perez-Cabrea, Proc. SPIE 7000, 70001V (2008). [CrossRef]
  11. F. P. Martial and N. A. Hartell, PLoS ONE 7, e43942(2012). [CrossRef]
  12. J. Arlt, K. Dholakia, L. Allen, and M. J. Padgett, J. Mod. Opt. 45, 1231 (1998). [CrossRef]
  13. J. Liyang, “High-precision laser beam shaping and image projection,” Ph.D. thesis (University of Texas, 2012).
  14. Y. X. Ren, M. Li, K. Huang, J. G. Wu, H. F. Gao, Z. Q. Wang, and Y. M. Li, Appl. Opt. 49, 1838 (2010). [CrossRef]
  15. G. Molina-Terriza and J. Torres, Nat. Phys. 3, 305(2007). [CrossRef]
  16. A. Bekshaev and O. Orlinska, Opt. Commun. 283, 1244 (2010). [CrossRef]
  17. F. Havermeyer, L. Ho, and C. Moser, Opt. Express 19, 14642 (2011). [CrossRef]
  18. L. A. Yoder, W. M. Duncan, E. M. Koontz, J. So, T. A. Bartlett, B. L. Lee, B. D. Sawyers, D. Powell, and P. Rancuret, Proc. SPIE 4457, 54 (2001).
  19. B. R. Brown and A. W. Lohmann, IBM J. Res. Dev. 13, 160 (1969). [CrossRef]
  20. A. Lohmann and D. P. Paris, Appl. Opt. 6, 1739 (1967). [CrossRef]
  21. D. Dudley, W. M. Duncan, and J. Slaughter, Proc. SPIE 4985, 14 (2003). [CrossRef]
  22. R. W. Floyd and L. Steinberg, in International Symposium Digest of Technical Papers, Society for Information Display (Academic, 1975), p. 36.
  23. The barely observable elipticity is due to small imperfections in our tilt angle adjustments, and input Gaussian beam. However, no splitting in l=2 and higher modes was observed, indicating that this imperfection is negligible.

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