OSA's Digital Library

Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 13, Iss. 19 — Sep. 19, 2005
  • pp: 7458–7465

Robustness of holographic optical traps against phase scaling errors

Sang-Hyuk Lee and David G. Grier  »View Author Affiliations

Optics Express, Vol. 13, Issue 19, pp. 7458-7465 (2005)

View Full Text Article

Enhanced HTML    Acrobat PDF (206 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Complex three-dimensional patterns of multifunctional optical traps can be encoded in phase-only computer-generated holograms and projected with the holographic optical trapping technique. The trap-forming holograms, in turn, are implemented as diffractive optical elements whose phase transfer functions generally do not faithfully reproduce the design. We demonstrate that phase encoding errors reduce the overall intensities of the projected traps but, remarkably, do not affect their positions, relative intensities or mode structure. We exploit this robust performance to implement dual-color holographic optical tweezers with a single hologram.

© 2005 Optical Society of America

OCIS Codes
(090.1760) Holography : Computer holography
(120.4610) Instrumentation, measurement, and metrology : Optical fabrication
(140.7010) Lasers and laser optics : Laser trapping

ToC Category:
Research Papers

Original Manuscript: August 16, 2005
Revised Manuscript: September 6, 2005
Published: September 19, 2005

Sang-Hyuk Lee and David Grier, "Robustness of holographic optical traps against phase scaling errors," Opt. Express 13, 7458-7465 (2005)

Sort:  Journal  |  Reset  


  1. D. G. Grier, �??A revolution in optical manipulation,�?? Nature 424, 810�??816 (2003). [CrossRef] [PubMed]
  2. L. B. Lesem, P. M. Hirsch, and J. A. Jordan, �??The kinoform: A new wavefront reconstruction device,�?? IBM J. Res. Develop. 13, 150�??155 (1969). [CrossRef]
  3. J.W. Goodman and A. M. Silverstri, �??Some effects of Fourier-domain phase quantization,�?? IBM J. Res. Dev. 14, 478 (1970). [CrossRef]
  4. J. P. Riley and F. N. Birkett, �??A reflection kinoform for use with a CO2 laser,�?? Optica Acta 24, 999�??1009 (1977). [CrossRef]
  5. M. Polin, K. Ladavac, S.-H. Lee, Y. Roichman, and D. G. Grier, �??Optimized holographic optical traps,�?? Opt. Express 13, 5831�??5845 (2005). <a href= "http://www.opticsexpress.org/abstract.cfm?URI=OPEX-13-15-5831">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-13-15-5831. [CrossRef] [PubMed]
  6. E. R. Dufresne and D. G. Grier, �??Optical tweezer arrays and optical substrates created with diffractive optical elements,�?? Rev. Sci. Instr. 69, 1974�??1977 (1998). [CrossRef]
  7. M. Reicherter, T. Haist, E. U. Wagemann, and H. J. Tiziani, �??Optical particle trapping with computer-generated holograms written on a liquid-crystal display,�?? Opt. Lett. 24, 608�??610 (1999). [CrossRef]
  8. J. Liesener, M. Reicherter, T. Haist, and H. J. Tiziani, �??Multi-functional optical tweezers using computer-generated holograms,�?? Opt. Comm. 185, 77�??82 (2000). [CrossRef]
  9. E. R. Dufresne, D. Altman, and D. G. Grier, �??Brownian dynamics of a sphere in a slit pore,�?? Europhys. Lett. 53, 264�??270 (2001). [CrossRef]
  10. J. E. Curtis, B. A. Koss, and D. G. Grier, �??Dynamic holographic optical tweezers,�?? Opt. Comm. 207, 169�??175 (2002). [CrossRef]
  11. A. Ashkin, J. M. Dziedzic, J. E. Bjorkholm, and S. Chu, �??Observation of a single-beam gradient force optical trap for dielectric particles,�?? Opt. Lett. 11, 288�??290 (1986). [CrossRef] [PubMed]
  12. J. W. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw-Hill, New York, 1996).
  13. H. He, N. R. Heckenberg, and H. Rubinsztein-Dunlop, �??Optical particle trapping with higher-order doughnut beams produced using high efficiency computer generated holograms,�?? J. Mod. Opt. 42, 217�??223 (1995). [CrossRef]
  14. N. R. Heckenberg, R. McDuff, C. P. Smith, H. Rubinsztein-Dunlop, and M. J.Wegener, �??Laser beams with phase singularities,�?? Opt. Quantum Elect. 24, S951�??S962 (1992). [CrossRef]
  15. A. Jesacher, S. Furhpater, S. Bernet, and M. Ritsch-Marte, �??Size selective trapping with optical �??cogwheel�?? tweezers,�?? Opt. Express 12, 4129�??4135 (2004). <a href= "http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-17-4129">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-17-4129</a>. [CrossRef] [PubMed]
  16. Y. Roichman and D. G. Grier, �??Holographic assembly of quasicrystalline photonic heterostructures,�?? Opt. Express 13, 5434�??5439 (2005) <a href=. "http://www.opticsexpress.org/abstract.cfm?URI=OPEX-13-14-5434">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-13-14-5434</a>. [CrossRef] [PubMed]
  17. N. B. Simpson, L. Allen, and M. J. Padgett, �??Optical tweezers and optical spanners with Laguerre-Gaussian modes,�?? J. Mod. Opt. 43, 2485�??2491 (1996). [CrossRef]
  18. K. T. Gahagan and G. A. Swartzlander, �??Optical vortex trapping of particles,�?? Opt. Lett. 21, 827�??829 (1996). [CrossRef] [PubMed]
  19. A. Vasara, J. Turunen, and A. T. Friberg, �??Realization of general nondiffracting beams with computer-generated holograms,�?? J. Opt. Soc. Am. A 6, 1748�??1754 (1989). [CrossRef] [PubMed]
  20. J. Arlt, V. Garces-Chavez, W. Sibbett, and K. Dholakia, �??Optical micromanipulation using a Bessel light beam,�?? Opt. Comm. 197, 239�??245 (2001). [CrossRef]
  21. L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, �??Orbital angular-momentum of light and the transformation of Laguerre-Gaussian laser modes,�?? Phys. Rev. A 45, 8185�??8189 (1992). [CrossRef] [PubMed]
  22. J. E. Curtis and D. G. Grier, �??Structure of optical vortices,�?? Phys. Rev. Lett. 90, 133901 (2003). [CrossRef] [PubMed]
  23. J. E. Curtis and D. G. Grier, �??Modulated optical vortices,�?? Opt. Lett. 28, 872�??874 (2003). [CrossRef] [PubMed]
  24. S. Sundbeck, I. Gruzberg, and D. G. Grier, �??Structure and scaling of helical modes of light,�?? Opt. Lett. 30, 477�??479 (2005). [CrossRef] [PubMed]
  25. C.-S. Guo, X. Liu, J.-L. He, and H.-T. Wang, �??Optimal annulus structures of optical vortices,�?? Opt. Express 12, 4625�??4634 (2004) <a href=. "http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-19-4625">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-19-4625</a>. [CrossRef] [PubMed]
  26. K. Ladavac and D. G. Grier, �??Colloidal hydrodynamic coupling in concentric optical vortices,�?? Europhys. Lett. 70, 548�??554 (2005). [CrossRef]
  27. K. Ladavac and D. G. Grier, �??Microoptomechanical pump assembled and driven by holographic optical vortex arrays,�?? Opt. Express 12, 1144�??1149 (2004) <a href "http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-6-1144">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-6-1144</a>. [CrossRef] [PubMed]
  28. J. Bengtsson, �??Kinoforms designed to produce different fan-out patterns for two wavelengths,�?? Appl. Opt. 37, 2011�??2020 (1998). [CrossRef]
  29. U. Levy, E. Marom, and D. Mendlovic, �??Simultaneous multicolor image formation with a single diffractive optical element,�?? Opt. Lett. 26, 1149�??1151 (2001). [CrossRef]
  30. L. L. Doskolovich, N. L. Kazanskiy, V. A. Soifer, P. Perlo, and P. Repetto, �??Design of DOEs for wavelength division and focusing,�?? J. Mod. Opt. 52, 917�??926 (2005). [CrossRef]
  31. J. Leach and M. J. Padgett, �??Observation of chromatic effects near a white-light vortex,�?? New J. Phys. 5, 154 (2003). [CrossRef]
  32. P. Fischer, C. T. A. Brown, J. E. Morris, C. López-Mariscal, E. M. Wright, W. Sibbett, and K. Dholakia, �??White light propagation invariant beams,�?? Opt. Express 13, 6657�??6666 (2005) <a href=. "http://www.opticsexpress.org/abstract.cfm?URI=OPEX-13-17-6657">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-13-17-6657</a>. [CrossRef] [PubMed]
  33. K. Ladavac, K. Kasza, and D. G. Grier, �??Sorting by periodic potential energy landscapes: Optical fractionation,�?? Phys. Rev. E 70, 010901(R) (2004). [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.


Fig. 1. Fig. 2. Fig. 3.
Fig. 4.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited