OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 19, Iss. 22 — Oct. 24, 2011
  • pp: 21627–21642

Fast parallel interferometric 3D tracking of numerous optically trapped particles and their hydrodynamic interaction

Dominic Ruh, Benjamin Tränkle, and Alexander Rohrbach  »View Author Affiliations


Optics Express, Vol. 19, Issue 22, pp. 21627-21642 (2011)
http://dx.doi.org/10.1364/OE.19.021627


View Full Text Article

Enhanced HTML    Acrobat PDF (9357 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

Multi-dimensional, correlated particle tracking is a key technology to reveal dynamic processes in living and synthetic soft matter systems. In this paper we present a new method for tracking micron-sized beads in parallel and in all three dimensions – faster and more precise than existing techniques. Using an acousto-optic deflector and two quadrant-photo-diodes, we can track numerous optically trapped beads at up to tens of kHz with a precision of a few nanometers by back-focal plane interferometry. By time-multiplexing the laser focus, we can calibrate individually all traps and all tracking signals in a few seconds and in 3D. We show 3D histograms and calibration constants for nine beads in a quadratic arrangement, although trapping and tracking is easily possible for more beads also in arbitrary 2D arrangements. As an application, we investigate the hydrodynamic coupling and diffusion anomalies of spheres trapped in a 3 × 3 arrangement.

© 2011 OSA

OCIS Codes
(120.0120) Instrumentation, measurement, and metrology : Instrumentation, measurement, and metrology
(140.7010) Lasers and laser optics : Laser trapping
(260.3160) Physical optics : Interference
(290.0290) Scattering : Scattering

ToC Category:
Optical Trapping and Manipulation

History
Original Manuscript: July 14, 2011
Revised Manuscript: August 16, 2011
Manuscript Accepted: August 22, 2011
Published: October 19, 2011

Virtual Issues
Vol. 6, Iss. 11 Virtual Journal for Biomedical Optics

Citation
Dominic Ruh, Benjamin Tränkle, and Alexander Rohrbach, "Fast parallel interferometric 3D tracking of numerous optically trapped particles and their hydrodynamic interaction," Opt. Express 19, 21627-21642 (2011)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-19-22-21627


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. M. W. Allersma, F. Gittes, M. J. deCastro, R. J. Stewart, and C. F. Schmidt, “Two-dimensional tracking of ncd motility by back focal plane interferometry,” Biophys. J.74(2), 1074–1085 (1998). [CrossRef] [PubMed]
  2. H. Kress, E. H. K. Stelzer, D. Holzer, F. Buss, G. Griffiths, and A. Rohrbach, “Filopodia act as phagocytic tentacles and pull with discrete steps and a load-dependent velocity,” Proc. Natl. Acad. Sci. U.S.A.104(28), 11633–11638 (2007). [CrossRef] [PubMed]
  3. J. C. Crocker and D. G. Grier, “Microscopic measurement of the pair interaction potential of charge-stabilized colloid,” Phys. Rev. Lett.73(2), 352–355 (1994). [CrossRef] [PubMed]
  4. A. van Blaaderen, J. P. Hoogenboom, D. L. J. Vossen, A. Yethiraj, A. van der Horst, K. Visscher, and M. Dogterom, “Colloidal epitaxy: playing with the boundary conditions of colloidal crystallization,” Faraday Discuss.123, 107–119, discussion 173–192, 419–421 (2003). [CrossRef] [PubMed]
  5. J. Dobnikar, M. Brunner, H.-H. von Grünberg, and C. Bechinger, “Three-body interactions in colloidal systems,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys.69(3), 031402 (2004). [CrossRef] [PubMed]
  6. H. Kress, J. G. Park, C. O. Mejean, J. D. Forster, J. Park, S. S. Walse, Y. Zhang, D. Q. Wu, O. D. Weiner, T. M. Fahmy, and E. R. Dufresne, “Cell stimulation with optically manipulated microsources,” Nat. Methods6(12), 905–909 (2009). [CrossRef] [PubMed]
  7. A. Candelli, G. J. L. Wuite, and E. J. G. Peterman, “Combining optical trapping, fluorescence microscopy and micro-fluidics for single molecule studies of DNA-protein interactions,” Phys. Chem. Chem. Phys.13(16), 7263–7272 (2011). [CrossRef] [PubMed]
  8. J. C. Crocker, J. A. Matteo, A. D. Dinsmore, and A. G. Yodh, “Entropic attraction and repulsion in binary colloids probed with a line optical tweezer,” Phys. Rev. Lett.82(21), 4352–4355 (1999). [CrossRef]
  9. N. B. Becker, S. M. Altmann, T. Scholz, J. K. Hörber, E. H. Stelzer, and A. Rohrbach, “Three-dimensional bead position histograms reveal single-molecule nanomechanics,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys.71(2), 021907 (2005). [CrossRef] [PubMed]
  10. M. L. Gardel, M. T. Valentine, J. C. Crocker, A. R. Bausch, and D. A. Weitz, “Microrheology of entangled F-actin solutions,” Phys. Rev. Lett.91(15), 158302 (2003). [CrossRef] [PubMed]
  11. J. Liphardt, S. Dumont, S. B. Smith, I. Tinoco, and C. Bustamante, “Equilibrium information from nonequilibrium measurements in an experimental test of Jarzynski’s equality,” Science296(5574), 1832–1835 (2002). [CrossRef] [PubMed]
  12. H. Kress, E. H. K. Stelzer, G. Griffiths, and A. Rohrbach, “Control of relative radiation pressure in optical traps: application to phagocytic membrane binding studies,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys.71(6), 061927 (2005). [CrossRef] [PubMed]
  13. I. M. Tolić-Nørrelykke, E. L. Munteanu, G. Thon, L. Oddershede, and K. Berg-Sørensen, “Anomalous diffusion in living yeast cells,” Phys. Rev. Lett.93(7), 078102 (2004). [CrossRef] [PubMed]
  14. J. C. Meiners and S. R. Quake, “Direct measurement of hydrodynamic cross correlations between two particles in an external potential,” Phys. Rev. Lett.82(10), 2211–2214 (1999). [CrossRef]
  15. R. Di Leonardo, S. Keen, F. Ianni, J. Leach, M. J. Padgett, and G. Ruocco, “Hydrodynamic interactions in two dimensions,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys.78(3), 031406 (2008). [CrossRef] [PubMed]
  16. J. Baumgartl and C. Bechinger, “On the limits of digital video microscopy,” Europhys. Lett.71(3), 487–493 (2005). [CrossRef]
  17. M. Speidel, A. Jonás, and E. L. Florin, “Three-dimensional tracking of fluorescent nanoparticles with subnanometer precision by use of off-focus imaging,” Opt. Lett.28(2), 69–71 (2003). [CrossRef] [PubMed]
  18. Z. Zhang and C.-H. Menq, “Three-dimensional particle tracking with subnanometer resolution using off-focus images,” Appl. Opt.47(13), 2361–2370 (2008). [CrossRef] [PubMed]
  19. S.-H. Lee, Y. Roichman, G.-R. Yi, S.-H. Kim, S.-M. Yang, A. van Blaaderen, P. van Oostrum, and D. G. Grier, “Characterizing and tracking single colloidal particles with video holographic microscopy,” Opt. Express15(26), 18275–18282 (2007). [CrossRef] [PubMed]
  20. F. C. Cheong, B. J. Krishnatreya, and D. G. Grier, “Strategies for three-dimensional particle tracking with holographic video microscopy,” Opt. Express18(13), 13563–13573 (2010). [CrossRef] [PubMed]
  21. M. F. Juette and J. Bewersdorf, “Three-dimensional tracking of single fluorescent particles with submillisecond temporal resolution,” Nano Lett.10(11), 4657–4663 (2010). [CrossRef] [PubMed]
  22. R. Bowman, G. Gibson, and M. Padgett, “Particle tracking stereomicroscopy in optical tweezers: control of trap shape,” Opt. Express18(11), 11785–11790 (2010). [CrossRef] [PubMed]
  23. A. Pralle, M. Prummer, E. L. Florin, E. H. Stelzer, and J. K. Hörber, “Three-dimensional high-resolution particle tracking for optical tweezers by forward scattered light,” Microsc. Res. Tech.44(5), 378–386 (1999). [CrossRef] [PubMed]
  24. A. Rohrbach, C. Tischer, D. Neumayer, E. L. Florin, and E. H. K. Stelzer, “Trapping and tracking a local probe with a Photonic Force Microscope,” Rev. Sci. Instrum.75(6), 2197–2210 (2004). [CrossRef]
  25. R. Huang, I. Chavez, K. M. Taute, B. Lukic, S. Jeney, M. G. Raizen, and E.-L. Florin, “Direct observation of the full transition from ballistic to diffusive Brownian motion in a liquid,” Nat. Phys.7(7), 576–580 (2011). [CrossRef]
  26. L. Friedrich and A. Rohrbach, “Improved interferometric tracking of trapped particles using two frequency-detuned beams,” Opt. Lett.35(11), 1920–1922 (2010). [CrossRef] [PubMed]
  27. M. Speidel, L. Friedrich, and A. Rohrbach, “Interferometric 3D tracking of several particles in a scanning laser focus,” Opt. Express17(2), 1003–1015 (2009). [CrossRef] [PubMed]
  28. K. Uhrig, R. Kurre, C. Schmitz, J. E. Curtis, T. Haraszti, A. E. M. Clemen, and J. P. Spatz, “Optical force sensor array in a microfluidic device based on holographic optical tweezers,” Lab Chip9(5), 661–668 (2009). [CrossRef] [PubMed]
  29. A. Rohrbach, H. Kress, and E. H. K. Stelzer, “Three-dimensional tracking of small spheres in focused laser beams: influence of the detection angular aperture,” Opt. Lett.28(6), 411–413 (2003). [CrossRef] [PubMed]
  30. K. C. Neuman and S. M. Block, “Optical trapping,” Rev. Sci. Instrum.75(9), 2787–2809 (2004). [CrossRef] [PubMed]
  31. A. Rohrbach, “Stiffness of optical traps: quantitative agreement between experiment and electromagnetic theory,” Phys. Rev. Lett.95(16), 168102 (2005). [CrossRef] [PubMed]
  32. A. Rohrbach and E. H. K. Stelzer, “Three-dimensional position detection of optically trapped dielectric particles,” J. Appl. Phys.91(8), 5474–5488 (2002). [CrossRef]
  33. J. K. G. Dhont, An Introduction to Dynamics of Colloids (Elsevier, 1996).
  34. E. R. Dufresne, T. M. Squires, M. P. Brenner, and D. G. Grier, “Hydrodynamic coupling of two brownian spheres to a planar surface,” Phys. Rev. Lett.85(15), 3317–3320 (2000). [CrossRef] [PubMed]
  35. J.-C. Meiners and S. R. Quake, “Direct Measurement of Hydrodynamic Cross Correlations between Two Particles in an External Potential,” Phys. Rev. Lett.82(10), 2211–2214 (1999). [CrossRef]
  36. S. Henderson, S. Mitchell, and P. Bartlett, “Direct measurements of colloidal friction coefficients,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys.64(6), 061403 (2001). [CrossRef] [PubMed]
  37. R. Di Leonardo, S. Keen, F. Ianni, J. Leach, M. J. Padgett, and G. Ruocco, “Hydrodynamic interactions in two dimensions,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys.78(3), 031406 (2008). [CrossRef] [PubMed]
  38. G. K. Batchelor, “Diffusion in a dilute polydisperse system of interacting spheres,” J. Fluid Mech.131(-1), 155–175 (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