Three-dimensional imaging and force characterization of multiple trapped particles in low NA counterpropagating optical traps

T. B. Lindballe; M. V. Kristensen; A. P. Kylling; D. Z. Palima; J. Glückstad; S. R. Keiding; H. Stapelfeldt

doi:10.2971/jeos.2011.11057

Journal of the European Optical Society - Rapid publications, Vol 6 (2011)

Three-dimensional imaging and force characterization of multiple trapped particles in low NA counterpropagating optical traps

T. B. Lindballe, M. V. Kristensen, A. P. Kylling, D. Z. Palima, J. Glückstad, S. R. Keiding, H. Stapelfeldt

Abstract

An experimental characterization of the three-dimensional (3D) position and force constants, acting on one or multiple trapped polystyrene beads in a weak counterpropagating beams geometry is reported. The 3D position of the trapped particles is tracked by imaging with two synchronized CMOS cameras from two orthogonal views and used to determine the stiffness along all three spatial directions through power spectrum analysis and the equipartition method. For the case of three trapped beads we measure the dependence of the force constants on the counterpropagating beams waist separation. The maximal transverse stiffnesses, is about 0.1 pN/µm per mW at a beam waist separation of 67 µm whereas the longitudinal stiffness is approximately 20 times lower. The experimental findings are in reasonable agreement with a recent physical-geometric optics calculation.

Full Text: PDF

Citation Details

Cite this article

References

A. Ashkin, "Acceleration and trapping of particles by radiation pressure" Phys. Rev. Lett. 24, 156 (1970).

A. Constable, J. Kim, J. Mervis, F. Zarinetchi, and M. Prentiss, "Demonstration of a fiberoptic light-force trap" Opt. Lett. 18, 1867-1869 (1993).

M. Pitzek, R. Steiger, G. Thalhammer, S. Bernet, and M. Ritsch- Marte, "Optical mirror trap with a large field of view" Opt. Express 17, 19414-19423 (2009).

A. van der Horst, P. D. J. van Oostrum, A. Moroz, A. van Blaaderen, and M. Dogterom, "High trapping forces for high-refractive index particles trapped in dynamic arrays of counterpropagating optical tweezers" Appl. Opt. 47, 3196-3202 (2008).

P. J. Rodrigo, V. R. Daria, and J. Glückstad, "Real-time threedimensional optical micromanipulation of multiple particles and living cells" Opt. Lett. 29, 2270-2272 (2004).

I. R. Perch-Nielsen, P. J. Rodrigo, and J. Glückstad, "Real-time interactive 3D manipulation of particles viewed in two orthogonal observation planes" Opt. Express 13, 2852-2857 (2005).

P. J. Rodrigo, I. R. Perch-Nielsen, C. A. Alonzo, and J. Glückstad, "GPC-based optical micromanipulation in 3D real-time using a single spatial light modulator" Opt. Express 14, 13107-13112 (2006).

H.-U. Ulriksen, J. Thøgersen, S. R. Keiding, I. R. Perch-Nielsen, J. S. Dam, D. Z. Palima, H. Stapelfeldt, and J. Glückstad, "Independent trapping, manipulation and characterization by an all-optical biophotonics workstation" J. Eur. Opt. Soc-Rapid 3, 08034 (2008).

R. Bowman, A. Jesacher, G. Thalhammer, G. Gibson, M. Ritsch- Marte, and M. Padgett, "Position clamping in a holographic counterpropagating optical trap" Opt. Express 19, 9908-9914 (2011).

P. J. Rodrigo, I. R. Perch-Nielsen, and J. Glückstad, "Threedimensional forces in GPC-based counterpropagating-beam traps" Opt. Express 14, 5812-5822 (2006).

H. Sosa-Martinez and J. C. Gutierrez-Vega, "Optical forces on a Mie spheroidal particle arbitrarily oriented in a counterpropagating trap" J. Opt. Soc. Am. B 26, 2109-2116 (2009).

D. Z. Palima, T. B. Lindballe, M. V. Kristensen, S. Tauro, H. Stapelfeldt, S. R. Keiding, and J. Glückstad, "Alternative modes for optical trapping and manipulation using counter-propagating shaped beams" J. Opt. 13, 044013 (2011).

E. Sidick, S. Collins, and A. Knoesen, "Trapping forces in a multiplebeam fiber-optic trap" Appl. Opt. 36, 6423-6433 (1997).

S. C. Chapin, V. Germain, and E. R. Dufresne, "Automated trapping, assembly, and sorting with holographic optical tweezers" Opt. Express 14, 13095-13100 (2006).

F. Gittes and C. F. Schmidt, "Thermal noise limitations on micromechanical experiments" Eur. Biophys. J. 27, 75-81 (1998).

K. C. Neuman and S. M. Block, "Optical trapping" Rev. Sci. Instrum. 75, 2787-2809 (2004).

W. P. Wong and K. Halvorsen, "The effect of integration time on fluctuation measurements: calibrating an optical trap in the presence of motion blur" Opt. Express 14, 12517-12531 (2006).

A. van der Horst and N. R. Forde, "Power spectral analysis for optical trap stiffness calibration from high-speed camera position detection with limited bandwidth" Opt. Express 18, 7670-7677 (2010).

K. Berg-Sørensen and H. Flyvbjerg, "Power spectrum analysis for optical tweezers" Rev. Sci. Instrum. 75, 594-612 (2004).

S.-H. Lee and D. G. Grier, "Holographic microscopy of holographically trapped three-dimensional structures" Opt. Express 15, 1505 (2007).

F. C. Cheong, B. J. Krishnatreya, and D. G. Grier, "Strategies for three-dimensional particle tracking with holographic video microscopy" Opt. Express 18, 13563 (2010).

R. Bowman, D. Preece, G. Gibson, and M. Padgett, "Stereoscopic particle tracking for 3D touch, vision and closed-loop control in optical tweezers" J. Opt. 13, 044003 (2011).

S. Tauro, A. Banas, D. Z. Palima, and J. Glückstad, "Dynamic axial stabilization of counter-propagating beam-traps with feedback control" Opt. Express 18, 18217-18222 (2010).

O. Otto, F. Czerwinski, J. L. Gornall, G. Stober, L. B. Oddershede, R. Seidel, and U. F. Keyser, "Real-time particle tracking at 10,000 fps using optical fiber illumination" Opt. Express 18, 22722 (2010).

P. A. Bancel, V. B. Cajipe, and F. Rodier, "Manipulating crystals with light" J. Cryst. Growth 196, 685-690 (1999).

W. Singer, H. Rubinsztein-Dunlop, and U. Gibson, "Manipulation and growth of birefringent protein crystals in optical tweezers", Opt. Express 12, 6440-6445 (2004).