Abstract

We report a novel method for characterizing the stiffness of white light supercontinuum tweezers, in which the nonlinear photonic crystal fiber used for supercontinuum generation is also utilized as an effective confocal pinhole to track the motion of a trapped bead and as a scan head to realize rapid scanning of the optical trap. By measuring the phase of the bead’s motion in following the trap, a lateral stiffness value of about 7.9 μN/m was obtained with supercontinumm power of about 75mW. Our technique can potentially allow for trap stiffness calibration along an arbitrary direction in three dimensions.

© 2010 OSA

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  1. 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(5), 288–290 (1986).
    [CrossRef] [PubMed]
  2. D. G. Grier, “A revolution in optical manipulation,” Nature 424(6950), 810–816 (2003).
    [CrossRef] [PubMed]
  3. M.-T. Wei, A. Zaorski, H. C. Yalcin, J. Wang, M. Hallow, S. N. Ghadiali, A. Chiou, and H. D. Ou-Yang, “A comparative study of living cell micromechanical properties by oscillatory optical tweezers,” Opt. Express 16(12), 8594–8603 (2008).
    [CrossRef] [PubMed]
  4. P. Li, K. Shi, and Z. Liu, “Manipulation and spectroscopy of a single particle by use of white-light optical tweezers,” Opt. Lett. 30(2), 156–158 (2005).
    [CrossRef] [PubMed]
  5. J. C. Shane, M. Mazilu, W. M. Lee, and K. Dholakia, “Effect of pulse temporal shape on optical trapping and impulse transfer using ultrashort pulsed lasers,” Opt. Express 18(7), 7554–7568 (2010).
    [CrossRef] [PubMed]
  6. P. Li, K. Shi, and Z. Liu, “Optical scattering spectroscopy by using tightly focused supercontinuum,” Opt. Express 13(22), 9039–9044 (2005).
    [CrossRef] [PubMed]
  7. K. Shi, P. Li, and Z. Liu, “Broadband coherent anti-Stokes Raman scattering spectroscopy in supercontinuum optical trap,” Appl. Phys. Lett. 90(14), 141116 (2007).
    [CrossRef]
  8. K. Shi, P. Li, and Z. Liu, “Supercontinuum CARS tweezers,” J. Nonlinear Opt. Phys. Mater. 16(04), 457–470 (2007).
    [CrossRef]
  9. K. Visscher, S. P. Gross, and S. M. Block, “Construction of multiple-beam optical traps with nanometer-resolution position sensing,” IEEE J. Sel. Top. Quantum Electron. 2(4), 1066–1076 (1996).
    [CrossRef]
  10. E. L. Florin, A. Pralle, E. H. K. Stelzer, and J. K. H. Horber, “Photonic force microscope calibration by thermal noise analysis,” Appl. Phys., A Mater. Sci. Process. 66(7), S75–S78 (1998).
    [CrossRef]
  11. K . Berg-Sørensen and H. Flyvbjerg, “Power spectrum analysis for optical tweezers,” Rev. Sci. Instrum. 75(3), 594 (2004).
    [CrossRef]
  12. S. F. Tolić-No̸rrelykke, E. Schäffer, J. Howard, F. S. Pavone, F. Jülicher, and H. Flyvbjerg, “Calibration of optical tweezers with positional detection in the back focal plane,” Rev. Sci. Instrum. 77(10), 103101 (2006).
    [CrossRef]
  13. J. E. Morris, A. E. Carruthers, M. Mazilu, P. J. Reece, T. Cizmar, P. Fischer, and K. Dholakia, “Optical micromanipulation using supercontinuum Laguerre-Gaussian and Gaussian beams,” Opt. Express 16(14), 10117–10129 (2008).
    [CrossRef] [PubMed]
  14. B. A. Nemet and M. Cronin-Golomb, “Measuring microscopic viscosity with optical tweezers as a confocal probe,” Appl. Opt. 42(10), 1820–1832 (2003).
    [CrossRef] [PubMed]

2010 (1)

J. C. Shane, M. Mazilu, W. M. Lee, and K. Dholakia, “Effect of pulse temporal shape on optical trapping and impulse transfer using ultrashort pulsed lasers,” Opt. Express 18(7), 7554–7568 (2010).
[CrossRef] [PubMed]

2008 (2)

M.-T. Wei, A. Zaorski, H. C. Yalcin, J. Wang, M. Hallow, S. N. Ghadiali, A. Chiou, and H. D. Ou-Yang, “A comparative study of living cell micromechanical properties by oscillatory optical tweezers,” Opt. Express 16(12), 8594–8603 (2008).
[CrossRef] [PubMed]

J. E. Morris, A. E. Carruthers, M. Mazilu, P. J. Reece, T. Cizmar, P. Fischer, and K. Dholakia, “Optical micromanipulation using supercontinuum Laguerre-Gaussian and Gaussian beams,” Opt. Express 16(14), 10117–10129 (2008).
[CrossRef] [PubMed]

2007 (2)

K. Shi, P. Li, and Z. Liu, “Broadband coherent anti-Stokes Raman scattering spectroscopy in supercontinuum optical trap,” Appl. Phys. Lett. 90(14), 141116 (2007).
[CrossRef]

K. Shi, P. Li, and Z. Liu, “Supercontinuum CARS tweezers,” J. Nonlinear Opt. Phys. Mater. 16(04), 457–470 (2007).
[CrossRef]

2006 (1)

S. F. Tolić-No̸rrelykke, E. Schäffer, J. Howard, F. S. Pavone, F. Jülicher, and H. Flyvbjerg, “Calibration of optical tweezers with positional detection in the back focal plane,” Rev. Sci. Instrum. 77(10), 103101 (2006).
[CrossRef]

2005 (2)

P. Li, K. Shi, and Z. Liu, “Optical scattering spectroscopy by using tightly focused supercontinuum,” Opt. Express 13(22), 9039–9044 (2005).
[CrossRef] [PubMed]

P. Li, K. Shi, and Z. Liu, “Manipulation and spectroscopy of a single particle by use of white-light optical tweezers,” Opt. Lett. 30(2), 156–158 (2005).
[CrossRef] [PubMed]

2004 (1)

K . Berg-Sørensen and H. Flyvbjerg, “Power spectrum analysis for optical tweezers,” Rev. Sci. Instrum. 75(3), 594 (2004).
[CrossRef]

2003 (2)

B. A. Nemet and M. Cronin-Golomb, “Measuring microscopic viscosity with optical tweezers as a confocal probe,” Appl. Opt. 42(10), 1820–1832 (2003).
[CrossRef] [PubMed]

D. G. Grier, “A revolution in optical manipulation,” Nature 424(6950), 810–816 (2003).
[CrossRef] [PubMed]

1998 (1)

E. L. Florin, A. Pralle, E. H. K. Stelzer, and J. K. H. Horber, “Photonic force microscope calibration by thermal noise analysis,” Appl. Phys., A Mater. Sci. Process. 66(7), S75–S78 (1998).
[CrossRef]

1996 (1)

K. Visscher, S. P. Gross, and S. M. Block, “Construction of multiple-beam optical traps with nanometer-resolution position sensing,” IEEE J. Sel. Top. Quantum Electron. 2(4), 1066–1076 (1996).
[CrossRef]

1986 (1)

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(5), 288–290 (1986).
[CrossRef] [PubMed]

. Berg-Sørensen, K

K . Berg-Sørensen and H. Flyvbjerg, “Power spectrum analysis for optical tweezers,” Rev. Sci. Instrum. 75(3), 594 (2004).
[CrossRef]

Ashkin, A.

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(5), 288–290 (1986).
[CrossRef] [PubMed]

Bjorkholm, J. E.

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(5), 288–290 (1986).
[CrossRef] [PubMed]

Block, S. M.

K. Visscher, S. P. Gross, and S. M. Block, “Construction of multiple-beam optical traps with nanometer-resolution position sensing,” IEEE J. Sel. Top. Quantum Electron. 2(4), 1066–1076 (1996).
[CrossRef]

Carruthers, A. E.

J. E. Morris, A. E. Carruthers, M. Mazilu, P. J. Reece, T. Cizmar, P. Fischer, and K. Dholakia, “Optical micromanipulation using supercontinuum Laguerre-Gaussian and Gaussian beams,” Opt. Express 16(14), 10117–10129 (2008).
[CrossRef] [PubMed]

Chiou, A.

M.-T. Wei, A. Zaorski, H. C. Yalcin, J. Wang, M. Hallow, S. N. Ghadiali, A. Chiou, and H. D. Ou-Yang, “A comparative study of living cell micromechanical properties by oscillatory optical tweezers,” Opt. Express 16(12), 8594–8603 (2008).
[CrossRef] [PubMed]

Chu, S.

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(5), 288–290 (1986).
[CrossRef] [PubMed]

Cizmar, T.

J. E. Morris, A. E. Carruthers, M. Mazilu, P. J. Reece, T. Cizmar, P. Fischer, and K. Dholakia, “Optical micromanipulation using supercontinuum Laguerre-Gaussian and Gaussian beams,” Opt. Express 16(14), 10117–10129 (2008).
[CrossRef] [PubMed]

Cronin-Golomb, M.

B. A. Nemet and M. Cronin-Golomb, “Measuring microscopic viscosity with optical tweezers as a confocal probe,” Appl. Opt. 42(10), 1820–1832 (2003).
[CrossRef] [PubMed]

Dholakia, K.

J. C. Shane, M. Mazilu, W. M. Lee, and K. Dholakia, “Effect of pulse temporal shape on optical trapping and impulse transfer using ultrashort pulsed lasers,” Opt. Express 18(7), 7554–7568 (2010).
[CrossRef] [PubMed]

J. E. Morris, A. E. Carruthers, M. Mazilu, P. J. Reece, T. Cizmar, P. Fischer, and K. Dholakia, “Optical micromanipulation using supercontinuum Laguerre-Gaussian and Gaussian beams,” Opt. Express 16(14), 10117–10129 (2008).
[CrossRef] [PubMed]

Dziedzic, J. M.

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(5), 288–290 (1986).
[CrossRef] [PubMed]

Fischer, P.

J. E. Morris, A. E. Carruthers, M. Mazilu, P. J. Reece, T. Cizmar, P. Fischer, and K. Dholakia, “Optical micromanipulation using supercontinuum Laguerre-Gaussian and Gaussian beams,” Opt. Express 16(14), 10117–10129 (2008).
[CrossRef] [PubMed]

Florin, E. L.

E. L. Florin, A. Pralle, E. H. K. Stelzer, and J. K. H. Horber, “Photonic force microscope calibration by thermal noise analysis,” Appl. Phys., A Mater. Sci. Process. 66(7), S75–S78 (1998).
[CrossRef]

Flyvbjerg, H.

S. F. Tolić-No̸rrelykke, E. Schäffer, J. Howard, F. S. Pavone, F. Jülicher, and H. Flyvbjerg, “Calibration of optical tweezers with positional detection in the back focal plane,” Rev. Sci. Instrum. 77(10), 103101 (2006).
[CrossRef]

K . Berg-Sørensen and H. Flyvbjerg, “Power spectrum analysis for optical tweezers,” Rev. Sci. Instrum. 75(3), 594 (2004).
[CrossRef]

Ghadiali, S. N.

M.-T. Wei, A. Zaorski, H. C. Yalcin, J. Wang, M. Hallow, S. N. Ghadiali, A. Chiou, and H. D. Ou-Yang, “A comparative study of living cell micromechanical properties by oscillatory optical tweezers,” Opt. Express 16(12), 8594–8603 (2008).
[CrossRef] [PubMed]

Grier, D. G.

D. G. Grier, “A revolution in optical manipulation,” Nature 424(6950), 810–816 (2003).
[CrossRef] [PubMed]

Gross, S. P.

K. Visscher, S. P. Gross, and S. M. Block, “Construction of multiple-beam optical traps with nanometer-resolution position sensing,” IEEE J. Sel. Top. Quantum Electron. 2(4), 1066–1076 (1996).
[CrossRef]

Hallow, M.

M.-T. Wei, A. Zaorski, H. C. Yalcin, J. Wang, M. Hallow, S. N. Ghadiali, A. Chiou, and H. D. Ou-Yang, “A comparative study of living cell micromechanical properties by oscillatory optical tweezers,” Opt. Express 16(12), 8594–8603 (2008).
[CrossRef] [PubMed]

Horber, J. K. H.

E. L. Florin, A. Pralle, E. H. K. Stelzer, and J. K. H. Horber, “Photonic force microscope calibration by thermal noise analysis,” Appl. Phys., A Mater. Sci. Process. 66(7), S75–S78 (1998).
[CrossRef]

Howard, J.

S. F. Tolić-No̸rrelykke, E. Schäffer, J. Howard, F. S. Pavone, F. Jülicher, and H. Flyvbjerg, “Calibration of optical tweezers with positional detection in the back focal plane,” Rev. Sci. Instrum. 77(10), 103101 (2006).
[CrossRef]

Jülicher, F.

S. F. Tolić-No̸rrelykke, E. Schäffer, J. Howard, F. S. Pavone, F. Jülicher, and H. Flyvbjerg, “Calibration of optical tweezers with positional detection in the back focal plane,” Rev. Sci. Instrum. 77(10), 103101 (2006).
[CrossRef]

Lee, W. M.

J. C. Shane, M. Mazilu, W. M. Lee, and K. Dholakia, “Effect of pulse temporal shape on optical trapping and impulse transfer using ultrashort pulsed lasers,” Opt. Express 18(7), 7554–7568 (2010).
[CrossRef] [PubMed]

Li, P.

K. Shi, P. Li, and Z. Liu, “Broadband coherent anti-Stokes Raman scattering spectroscopy in supercontinuum optical trap,” Appl. Phys. Lett. 90(14), 141116 (2007).
[CrossRef]

K. Shi, P. Li, and Z. Liu, “Supercontinuum CARS tweezers,” J. Nonlinear Opt. Phys. Mater. 16(04), 457–470 (2007).
[CrossRef]

P. Li, K. Shi, and Z. Liu, “Optical scattering spectroscopy by using tightly focused supercontinuum,” Opt. Express 13(22), 9039–9044 (2005).
[CrossRef] [PubMed]

P. Li, K. Shi, and Z. Liu, “Manipulation and spectroscopy of a single particle by use of white-light optical tweezers,” Opt. Lett. 30(2), 156–158 (2005).
[CrossRef] [PubMed]

Liu, Z.

K. Shi, P. Li, and Z. Liu, “Broadband coherent anti-Stokes Raman scattering spectroscopy in supercontinuum optical trap,” Appl. Phys. Lett. 90(14), 141116 (2007).
[CrossRef]

K. Shi, P. Li, and Z. Liu, “Supercontinuum CARS tweezers,” J. Nonlinear Opt. Phys. Mater. 16(04), 457–470 (2007).
[CrossRef]

P. Li, K. Shi, and Z. Liu, “Optical scattering spectroscopy by using tightly focused supercontinuum,” Opt. Express 13(22), 9039–9044 (2005).
[CrossRef] [PubMed]

P. Li, K. Shi, and Z. Liu, “Manipulation and spectroscopy of a single particle by use of white-light optical tweezers,” Opt. Lett. 30(2), 156–158 (2005).
[CrossRef] [PubMed]

Mazilu, M.

J. C. Shane, M. Mazilu, W. M. Lee, and K. Dholakia, “Effect of pulse temporal shape on optical trapping and impulse transfer using ultrashort pulsed lasers,” Opt. Express 18(7), 7554–7568 (2010).
[CrossRef] [PubMed]

J. E. Morris, A. E. Carruthers, M. Mazilu, P. J. Reece, T. Cizmar, P. Fischer, and K. Dholakia, “Optical micromanipulation using supercontinuum Laguerre-Gaussian and Gaussian beams,” Opt. Express 16(14), 10117–10129 (2008).
[CrossRef] [PubMed]

Morris, J. E.

J. E. Morris, A. E. Carruthers, M. Mazilu, P. J. Reece, T. Cizmar, P. Fischer, and K. Dholakia, “Optical micromanipulation using supercontinuum Laguerre-Gaussian and Gaussian beams,” Opt. Express 16(14), 10117–10129 (2008).
[CrossRef] [PubMed]

Nemet, B. A.

B. A. Nemet and M. Cronin-Golomb, “Measuring microscopic viscosity with optical tweezers as a confocal probe,” Appl. Opt. 42(10), 1820–1832 (2003).
[CrossRef] [PubMed]

Ou-Yang, H. D.

M.-T. Wei, A. Zaorski, H. C. Yalcin, J. Wang, M. Hallow, S. N. Ghadiali, A. Chiou, and H. D. Ou-Yang, “A comparative study of living cell micromechanical properties by oscillatory optical tweezers,” Opt. Express 16(12), 8594–8603 (2008).
[CrossRef] [PubMed]

Pavone, F. S.

S. F. Tolić-No̸rrelykke, E. Schäffer, J. Howard, F. S. Pavone, F. Jülicher, and H. Flyvbjerg, “Calibration of optical tweezers with positional detection in the back focal plane,” Rev. Sci. Instrum. 77(10), 103101 (2006).
[CrossRef]

Pralle, A.

E. L. Florin, A. Pralle, E. H. K. Stelzer, and J. K. H. Horber, “Photonic force microscope calibration by thermal noise analysis,” Appl. Phys., A Mater. Sci. Process. 66(7), S75–S78 (1998).
[CrossRef]

Reece, P. J.

J. E. Morris, A. E. Carruthers, M. Mazilu, P. J. Reece, T. Cizmar, P. Fischer, and K. Dholakia, “Optical micromanipulation using supercontinuum Laguerre-Gaussian and Gaussian beams,” Opt. Express 16(14), 10117–10129 (2008).
[CrossRef] [PubMed]

Schäffer, E.

S. F. Tolić-No̸rrelykke, E. Schäffer, J. Howard, F. S. Pavone, F. Jülicher, and H. Flyvbjerg, “Calibration of optical tweezers with positional detection in the back focal plane,” Rev. Sci. Instrum. 77(10), 103101 (2006).
[CrossRef]

Shane, J. C.

J. C. Shane, M. Mazilu, W. M. Lee, and K. Dholakia, “Effect of pulse temporal shape on optical trapping and impulse transfer using ultrashort pulsed lasers,” Opt. Express 18(7), 7554–7568 (2010).
[CrossRef] [PubMed]

Shi, K.

K. Shi, P. Li, and Z. Liu, “Broadband coherent anti-Stokes Raman scattering spectroscopy in supercontinuum optical trap,” Appl. Phys. Lett. 90(14), 141116 (2007).
[CrossRef]

K. Shi, P. Li, and Z. Liu, “Supercontinuum CARS tweezers,” J. Nonlinear Opt. Phys. Mater. 16(04), 457–470 (2007).
[CrossRef]

P. Li, K. Shi, and Z. Liu, “Optical scattering spectroscopy by using tightly focused supercontinuum,” Opt. Express 13(22), 9039–9044 (2005).
[CrossRef] [PubMed]

P. Li, K. Shi, and Z. Liu, “Manipulation and spectroscopy of a single particle by use of white-light optical tweezers,” Opt. Lett. 30(2), 156–158 (2005).
[CrossRef] [PubMed]

Stelzer, E. H. K.

E. L. Florin, A. Pralle, E. H. K. Stelzer, and J. K. H. Horber, “Photonic force microscope calibration by thermal noise analysis,” Appl. Phys., A Mater. Sci. Process. 66(7), S75–S78 (1998).
[CrossRef]

Tolic-No?rrelykke, S. F.

S. F. Tolić-No̸rrelykke, E. Schäffer, J. Howard, F. S. Pavone, F. Jülicher, and H. Flyvbjerg, “Calibration of optical tweezers with positional detection in the back focal plane,” Rev. Sci. Instrum. 77(10), 103101 (2006).
[CrossRef]

Visscher, K.

K. Visscher, S. P. Gross, and S. M. Block, “Construction of multiple-beam optical traps with nanometer-resolution position sensing,” IEEE J. Sel. Top. Quantum Electron. 2(4), 1066–1076 (1996).
[CrossRef]

Wang, J.

M.-T. Wei, A. Zaorski, H. C. Yalcin, J. Wang, M. Hallow, S. N. Ghadiali, A. Chiou, and H. D. Ou-Yang, “A comparative study of living cell micromechanical properties by oscillatory optical tweezers,” Opt. Express 16(12), 8594–8603 (2008).
[CrossRef] [PubMed]

Wei, M.-T.

M.-T. Wei, A. Zaorski, H. C. Yalcin, J. Wang, M. Hallow, S. N. Ghadiali, A. Chiou, and H. D. Ou-Yang, “A comparative study of living cell micromechanical properties by oscillatory optical tweezers,” Opt. Express 16(12), 8594–8603 (2008).
[CrossRef] [PubMed]

Yalcin, H. C.

M.-T. Wei, A. Zaorski, H. C. Yalcin, J. Wang, M. Hallow, S. N. Ghadiali, A. Chiou, and H. D. Ou-Yang, “A comparative study of living cell micromechanical properties by oscillatory optical tweezers,” Opt. Express 16(12), 8594–8603 (2008).
[CrossRef] [PubMed]

Zaorski, A.

M.-T. Wei, A. Zaorski, H. C. Yalcin, J. Wang, M. Hallow, S. N. Ghadiali, A. Chiou, and H. D. Ou-Yang, “A comparative study of living cell micromechanical properties by oscillatory optical tweezers,” Opt. Express 16(12), 8594–8603 (2008).
[CrossRef] [PubMed]

Appl. Opt. (1)

B. A. Nemet and M. Cronin-Golomb, “Measuring microscopic viscosity with optical tweezers as a confocal probe,” Appl. Opt. 42(10), 1820–1832 (2003).
[CrossRef] [PubMed]

Appl. Phys. Lett. (1)

K. Shi, P. Li, and Z. Liu, “Broadband coherent anti-Stokes Raman scattering spectroscopy in supercontinuum optical trap,” Appl. Phys. Lett. 90(14), 141116 (2007).
[CrossRef]

Appl. Phys., A Mater. Sci. Process. (1)

E. L. Florin, A. Pralle, E. H. K. Stelzer, and J. K. H. Horber, “Photonic force microscope calibration by thermal noise analysis,” Appl. Phys., A Mater. Sci. Process. 66(7), S75–S78 (1998).
[CrossRef]

IEEE J. Sel. Top. Quantum Electron. (1)

K. Visscher, S. P. Gross, and S. M. Block, “Construction of multiple-beam optical traps with nanometer-resolution position sensing,” IEEE J. Sel. Top. Quantum Electron. 2(4), 1066–1076 (1996).
[CrossRef]

J. Nonlinear Opt. Phys. Mater. (1)

K. Shi, P. Li, and Z. Liu, “Supercontinuum CARS tweezers,” J. Nonlinear Opt. Phys. Mater. 16(04), 457–470 (2007).
[CrossRef]

Nature (1)

D. G. Grier, “A revolution in optical manipulation,” Nature 424(6950), 810–816 (2003).
[CrossRef] [PubMed]

Opt. Express (4)

M.-T. Wei, A. Zaorski, H. C. Yalcin, J. Wang, M. Hallow, S. N. Ghadiali, A. Chiou, and H. D. Ou-Yang, “A comparative study of living cell micromechanical properties by oscillatory optical tweezers,” Opt. Express 16(12), 8594–8603 (2008).
[CrossRef] [PubMed]

J. C. Shane, M. Mazilu, W. M. Lee, and K. Dholakia, “Effect of pulse temporal shape on optical trapping and impulse transfer using ultrashort pulsed lasers,” Opt. Express 18(7), 7554–7568 (2010).
[CrossRef] [PubMed]

P. Li, K. Shi, and Z. Liu, “Optical scattering spectroscopy by using tightly focused supercontinuum,” Opt. Express 13(22), 9039–9044 (2005).
[CrossRef] [PubMed]

J. E. Morris, A. E. Carruthers, M. Mazilu, P. J. Reece, T. Cizmar, P. Fischer, and K. Dholakia, “Optical micromanipulation using supercontinuum Laguerre-Gaussian and Gaussian beams,” Opt. Express 16(14), 10117–10129 (2008).
[CrossRef] [PubMed]

Opt. Lett. (2)

P. Li, K. Shi, and Z. Liu, “Manipulation and spectroscopy of a single particle by use of white-light optical tweezers,” Opt. Lett. 30(2), 156–158 (2005).
[CrossRef] [PubMed]

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(5), 288–290 (1986).
[CrossRef] [PubMed]

Rev. Sci. Instrum. (2)

K . Berg-Sørensen and H. Flyvbjerg, “Power spectrum analysis for optical tweezers,” Rev. Sci. Instrum. 75(3), 594 (2004).
[CrossRef]

S. F. Tolić-No̸rrelykke, E. Schäffer, J. Howard, F. S. Pavone, F. Jülicher, and H. Flyvbjerg, “Calibration of optical tweezers with positional detection in the back focal plane,” Rev. Sci. Instrum. 77(10), 103101 (2006).
[CrossRef]

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Figures (3)

Fig. 1
Fig. 1

Schematic diagram of the experimental system. B.S.: beam splitter, DET: Detector, FG: Function Generator, LENS: focal length = 100mm, LIA: Lock-in Amplifier, OBJ1: Objective lens (60X), OBJ2: Objective lens (20X), OBJ3: Objective lens (100X, Oil immersion), SP: speaker.

Fig. 2
Fig. 2

System calibration: (a) A typical measured spectrum of the supercontinuum. (b) Axial confocal response. (c) Horizontal (blue) and vertical (red) dimensions of the fiber tip’s trajectory. (d) The second harmonic phase response of the scanning system.

Fig. 3
Fig. 3

Characterization of the trap stiffness of supercontinuum optical tweezers. (a) The second harmonic phase of a trapped bead measured in the experiment. (b) Blue circles: the cotangent value of the phase lag of the bead relative to the trap; Red line: linearly fitted curve.

Equations (3)

Equations on this page are rendered with MathJax. Learn more.

κ ( x x 0 ) γ x + f 0 = 0 ,
x = x 0 + f 0 κ + A sin ( ω 0 t + ϕ ) A = γ ω 0 ( γ ω 0 ) 2 + κ 2 A 0 ,   cot ϕ = γ ω 0 κ ,
S ( t ) = I ( x x 0 ) I ( f 0 κ ) + 1 4 I ( f 0 κ ) A 2 + I ( f 0 κ ) A sin ( ω 0 t + ϕ ) 1 4 I ( f 0 κ ) A 2 cos ( 2 ω 0 t + 2 ϕ ) ,

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