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Review of Scientific Instruments / Volume 77 / Issue 10 / OPTICS; ATOMS AND MOLECULES; SPECTROSCOPY; PHOTON DETECTORS

Rev. Sci. Instrum. 77, 103101 (2006); http://dx.doi.org/10.1063/1.2356852 (11 pages)

Calibration of optical tweezers with positional detection in the back focal plane

Simon F. Tolić-Nørrelykke1, Erik Schäffer2, Jonathon Howard2, Francesco S. Pavone3, Frank Jülicher4, and Henrik Flyvbjerg5

1Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Strasse 38, 01187 Dresden, Germany and European Laboratory for Non-linear Spectroscopy, via Nello Carrara 1, 50019 Sesto Fiorentino, Florence, Italy
2Max Planck Institute of Molecular Cell Biology and Genetics, Pfotenhauerstrasse 108, 01307 Dresden, Germany
3European Laboratory for Non-linear Spectroscopy, via Nello Carrara 1, 50019 Sesto Fiorentino, Florence, Italy
4Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Strasse 38, 01187 Dresden, Germany
5Isaac Newton Institute for Mathematical Sciences, Cambridge CB3 0EH United Kingdom; Biosystems Department, Risø National Laboratory, DK-4000 Roskilde, Denmark; and Danish Polymer Centre, Risø National Laboratory, DK-4000 Roskilde, Denmark

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(Received 13 February 2006; accepted 26 August 2006; published online 9 October 2006; publisher error corrected 25 October 2006)

We explain and demonstrate a new method of force and position calibrations for optical tweezers with back-focal-plane photodetection. The method combines power spectral measurements of thermal motion and the response to a sinusoidal motion of a translation stage. It consequently does not use the drag coefficient of the trapped object as an input. Thus, neither the viscosity, nor the size of the trapped object, nor its distance to nearby surfaces needs to be known. The method requires only a low level of instrumentation and can be applied in situ in all spatial dimensions. It is both accurate and precise: true values are returned, with small error bars. We tested this experimentally, near and far from surfaces in the lateral directions. Both position and force calibrations were accurate to within 3%. To calibrate, we moved the sample with a piezoelectric translation stage, but the laser beam could be moved instead, e.g., by acousto-optic deflectors. Near surfaces, this precision requires an improved formula for the hydrodynamical interaction between an infinite plane and a microsphere in nonconstant motion parallel to it. We give such a formula.

© 2006 American Institute of Physics

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KEYWORDS and PACS

Keywords

radiation pressure, calibration, position measurement, focal planes, photodetectors, motion measurement, force measurement

PACS

  • 06.20.fb

    Standards and calibration

  • 06.30.Bp

    Spatial dimensions (e.g., position, lengths, volume, angles, and displacements)

  • 07.10.Pz

    Instruments for strain, force, and torque

  • 42.79.Pw

    Imaging detectors and sensors

  • 37.10.Vz

    Mechanical effects of light on atoms, molecules, and ions

  • 85.60.Gz

    Photodetectors (including infrared and CCD detectors)

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.2356852

PUBLICATION DATA

ISSN

0034-6748 (print)  
1089-7623 (online)

Publisher

$abstract.society.value is a Member of CrossRef American Institute of Physics

For access to fully linked references, you need to log in.
    K. Berg-Sørensen and H. Flyvbjerg, Rev. Sci. Instrum. 75, 594 (2004)RSINAK000075000003000594000001.

    K. Berg-Sørensen, E. J. G. Peterman, T. Weber, C. F. Schmidt, and H. Flyvbjerg, Rev. Sci. Instrum. 77, 063106 (2006)RSINAK000077000006063106000001.

    K. C. Vermeulen, J. van Mameren, G. J. M. Stienen, E. J. G. Peterman, G. J. L. Wuite, and C. F. Schmidt, Rev. Sci. Instrum. 77, 013704 (2006)RSINAK000077000001013704000001.

    K. Berg-Sørensen, L. Oddershede, E.-L. Florin, and H. Flyvbjerg, J. Appl. Phys. 93, 3167 (2003)JAPIAU000093000006003167000001.

    A. Rohrbach, Phys. Rev. Lett. 95, 168102 (2005).


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