Abstract

We present the numerical modelling of a novel all-fiber optical tweezers, whose efficacy has been recently demonstrated. The device, realized by properly shaping the end-face of a fiber bundle, exploits total internal reflection to enhance the trapping efficiency. In order to allow the optimization of the performance, the trapping efficiency is evaluated as a function of different geometrical parameters of the structure. Given the peculiar spatial and angular distribution of the optical field, a new figure of merit is adopted to assess tweezers performance.

© 2008 Optical Society of America

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  1. K. C. Neuman and S. M. Block, "Optical trapping," Rev. Sci. Instrum. 75, 2787-2809 (2004).
    [CrossRef]
  2. V. Emiliani, D. Cojoc, E. Ferrari, V. Garbin, C. Durieux, M. Coppey-Moisan, and E. Di Fabrizio "Wave front engineering for microscopy of living cells," Opt. Express 13, 1395-1405 (2005).
    [CrossRef] [PubMed]
  3. M. Goksor, J. Enger, and D. Hanstorp "Optical manipulation in combination with multiphoton microscopy for single-cell studies," Appl. Opt. 43, 4831-4837 (2004).
    [CrossRef] [PubMed]
  4. C. M. Creely, G. Volpe, G. P. Singh, M. Soler, and D. V. Petrov, "Raman imaging of floating cells," Opt. Express 12, 6105-6110 (2005).
    [CrossRef]
  5. J. Chan, H. Winhold, S. Lane, and T. Huser "Optical Trapping and Coherent Anti-Stokes Raman Scattering (CARS) Spectroscopy of submicron-size particles," IEEE J. Sel. Top. Quantum Electron. 11, 858-863 (2005).
    [CrossRef]
  6. K. Taguchi, H. Ueno, T. Hiramatsu, and M. Ikeda, "Optical trapping of dielectric particle and biological cell using optical fibre," Electron. Lett. 33, 1413-1414 (1997).
    [CrossRef]
  7. Z. Liu, C. Guo, J. Yang, and L. Yuan "Tapered fiber optical tweezer for microscopic particle trapping: fabrication and application," Opt. Express 14, 12511-12516 (2006).
    [CrossRef]
  8. C. Liberale, P. Minzioni, F. Bragheri, F. De Angelis, E. Di Fabrizio, and I. Cristiani, "Miniaturized all-fiber probe for three dimensional optical trapping, manipulation and analysis," Nat. Photonics 1, 723-727 (2007).
    [CrossRef]
  9. A. Ashkin, "Forces of a single beam gradient laser trap on a dielectric sphere in the ray optics regime," Biophys. J. 61, 569-582 (1992).
    [CrossRef] [PubMed]
  10. P. Minzioni, F. Bragheri, C. Liberale, E. Di Fabrizio, and I. Cristiani, "A Novel Approach to Fiber-Optic Tweezers: Numerical Analysis of the Trapping Efficiency," IEEE J. Sel. Top. Quantum Electron. 14, 151-157 (2008).
    [CrossRef]
  11. 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]
  12. A. T. O'Neil and M. J. Padgett, "Axial and lateral trapping efficiency of Laguerre-Gaussian modes in optical tweezers," Opt. Commun. 193, 45-50 (2001).
    [CrossRef]
  13. E. Sidick, S. D. Collins, and A. Knoesen, "Trapping forces in a multiple-beam fiber-optic trap," Appl. Opt 36, 6423-6433 (1997).
    [CrossRef]

2008

P. Minzioni, F. Bragheri, C. Liberale, E. Di Fabrizio, and I. Cristiani, "A Novel Approach to Fiber-Optic Tweezers: Numerical Analysis of the Trapping Efficiency," IEEE J. Sel. Top. Quantum Electron. 14, 151-157 (2008).
[CrossRef]

2007

C. Liberale, P. Minzioni, F. Bragheri, F. De Angelis, E. Di Fabrizio, and I. Cristiani, "Miniaturized all-fiber probe for three dimensional optical trapping, manipulation and analysis," Nat. Photonics 1, 723-727 (2007).
[CrossRef]

2006

Z. Liu, C. Guo, J. Yang, and L. Yuan "Tapered fiber optical tweezer for microscopic particle trapping: fabrication and application," Opt. Express 14, 12511-12516 (2006).
[CrossRef]

2005

V. Emiliani, D. Cojoc, E. Ferrari, V. Garbin, C. Durieux, M. Coppey-Moisan, and E. Di Fabrizio "Wave front engineering for microscopy of living cells," Opt. Express 13, 1395-1405 (2005).
[CrossRef] [PubMed]

C. M. Creely, G. Volpe, G. P. Singh, M. Soler, and D. V. Petrov, "Raman imaging of floating cells," Opt. Express 12, 6105-6110 (2005).
[CrossRef]

J. Chan, H. Winhold, S. Lane, and T. Huser "Optical Trapping and Coherent Anti-Stokes Raman Scattering (CARS) Spectroscopy of submicron-size particles," IEEE J. Sel. Top. Quantum Electron. 11, 858-863 (2005).
[CrossRef]

2004

2001

A. T. O'Neil and M. J. Padgett, "Axial and lateral trapping efficiency of Laguerre-Gaussian modes in optical tweezers," Opt. Commun. 193, 45-50 (2001).
[CrossRef]

1997

E. Sidick, S. D. Collins, and A. Knoesen, "Trapping forces in a multiple-beam fiber-optic trap," Appl. Opt 36, 6423-6433 (1997).
[CrossRef]

K. Taguchi, H. Ueno, T. Hiramatsu, and M. Ikeda, "Optical trapping of dielectric particle and biological cell using optical fibre," Electron. Lett. 33, 1413-1414 (1997).
[CrossRef]

1996

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]

1992

A. Ashkin, "Forces of a single beam gradient laser trap on a dielectric sphere in the ray optics regime," Biophys. J. 61, 569-582 (1992).
[CrossRef] [PubMed]

Allen, L.

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]

Ashkin, A.

A. Ashkin, "Forces of a single beam gradient laser trap on a dielectric sphere in the ray optics regime," Biophys. J. 61, 569-582 (1992).
[CrossRef] [PubMed]

Block, S. M.

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

Bragheri, F.

P. Minzioni, F. Bragheri, C. Liberale, E. Di Fabrizio, and I. Cristiani, "A Novel Approach to Fiber-Optic Tweezers: Numerical Analysis of the Trapping Efficiency," IEEE J. Sel. Top. Quantum Electron. 14, 151-157 (2008).
[CrossRef]

C. Liberale, P. Minzioni, F. Bragheri, F. De Angelis, E. Di Fabrizio, and I. Cristiani, "Miniaturized all-fiber probe for three dimensional optical trapping, manipulation and analysis," Nat. Photonics 1, 723-727 (2007).
[CrossRef]

Chan, J.

J. Chan, H. Winhold, S. Lane, and T. Huser "Optical Trapping and Coherent Anti-Stokes Raman Scattering (CARS) Spectroscopy of submicron-size particles," IEEE J. Sel. Top. Quantum Electron. 11, 858-863 (2005).
[CrossRef]

Cojoc, D.

Collins, S. D.

E. Sidick, S. D. Collins, and A. Knoesen, "Trapping forces in a multiple-beam fiber-optic trap," Appl. Opt 36, 6423-6433 (1997).
[CrossRef]

Coppey-Moisan, M.

Creely, C. M.

C. M. Creely, G. Volpe, G. P. Singh, M. Soler, and D. V. Petrov, "Raman imaging of floating cells," Opt. Express 12, 6105-6110 (2005).
[CrossRef]

Cristiani, I.

P. Minzioni, F. Bragheri, C. Liberale, E. Di Fabrizio, and I. Cristiani, "A Novel Approach to Fiber-Optic Tweezers: Numerical Analysis of the Trapping Efficiency," IEEE J. Sel. Top. Quantum Electron. 14, 151-157 (2008).
[CrossRef]

C. Liberale, P. Minzioni, F. Bragheri, F. De Angelis, E. Di Fabrizio, and I. Cristiani, "Miniaturized all-fiber probe for three dimensional optical trapping, manipulation and analysis," Nat. Photonics 1, 723-727 (2007).
[CrossRef]

De Angelis, F.

C. Liberale, P. Minzioni, F. Bragheri, F. De Angelis, E. Di Fabrizio, and I. Cristiani, "Miniaturized all-fiber probe for three dimensional optical trapping, manipulation and analysis," Nat. Photonics 1, 723-727 (2007).
[CrossRef]

Di Fabrizio, E.

P. Minzioni, F. Bragheri, C. Liberale, E. Di Fabrizio, and I. Cristiani, "A Novel Approach to Fiber-Optic Tweezers: Numerical Analysis of the Trapping Efficiency," IEEE J. Sel. Top. Quantum Electron. 14, 151-157 (2008).
[CrossRef]

C. Liberale, P. Minzioni, F. Bragheri, F. De Angelis, E. Di Fabrizio, and I. Cristiani, "Miniaturized all-fiber probe for three dimensional optical trapping, manipulation and analysis," Nat. Photonics 1, 723-727 (2007).
[CrossRef]

V. Emiliani, D. Cojoc, E. Ferrari, V. Garbin, C. Durieux, M. Coppey-Moisan, and E. Di Fabrizio "Wave front engineering for microscopy of living cells," Opt. Express 13, 1395-1405 (2005).
[CrossRef] [PubMed]

Durieux, C.

Emiliani, V.

Enger, J.

Ferrari, E.

Garbin, V.

Goksor, M.

Guo, C.

Z. Liu, C. Guo, J. Yang, and L. Yuan "Tapered fiber optical tweezer for microscopic particle trapping: fabrication and application," Opt. Express 14, 12511-12516 (2006).
[CrossRef]

Hanstorp, D.

Hiramatsu, T.

K. Taguchi, H. Ueno, T. Hiramatsu, and M. Ikeda, "Optical trapping of dielectric particle and biological cell using optical fibre," Electron. Lett. 33, 1413-1414 (1997).
[CrossRef]

Huser, T.

J. Chan, H. Winhold, S. Lane, and T. Huser "Optical Trapping and Coherent Anti-Stokes Raman Scattering (CARS) Spectroscopy of submicron-size particles," IEEE J. Sel. Top. Quantum Electron. 11, 858-863 (2005).
[CrossRef]

Ikeda, M.

K. Taguchi, H. Ueno, T. Hiramatsu, and M. Ikeda, "Optical trapping of dielectric particle and biological cell using optical fibre," Electron. Lett. 33, 1413-1414 (1997).
[CrossRef]

Knoesen, A.

E. Sidick, S. D. Collins, and A. Knoesen, "Trapping forces in a multiple-beam fiber-optic trap," Appl. Opt 36, 6423-6433 (1997).
[CrossRef]

Lane, S.

J. Chan, H. Winhold, S. Lane, and T. Huser "Optical Trapping and Coherent Anti-Stokes Raman Scattering (CARS) Spectroscopy of submicron-size particles," IEEE J. Sel. Top. Quantum Electron. 11, 858-863 (2005).
[CrossRef]

Liberale, C.

P. Minzioni, F. Bragheri, C. Liberale, E. Di Fabrizio, and I. Cristiani, "A Novel Approach to Fiber-Optic Tweezers: Numerical Analysis of the Trapping Efficiency," IEEE J. Sel. Top. Quantum Electron. 14, 151-157 (2008).
[CrossRef]

C. Liberale, P. Minzioni, F. Bragheri, F. De Angelis, E. Di Fabrizio, and I. Cristiani, "Miniaturized all-fiber probe for three dimensional optical trapping, manipulation and analysis," Nat. Photonics 1, 723-727 (2007).
[CrossRef]

Liu, Z.

Z. Liu, C. Guo, J. Yang, and L. Yuan "Tapered fiber optical tweezer for microscopic particle trapping: fabrication and application," Opt. Express 14, 12511-12516 (2006).
[CrossRef]

Minzioni, P.

P. Minzioni, F. Bragheri, C. Liberale, E. Di Fabrizio, and I. Cristiani, "A Novel Approach to Fiber-Optic Tweezers: Numerical Analysis of the Trapping Efficiency," IEEE J. Sel. Top. Quantum Electron. 14, 151-157 (2008).
[CrossRef]

C. Liberale, P. Minzioni, F. Bragheri, F. De Angelis, E. Di Fabrizio, and I. Cristiani, "Miniaturized all-fiber probe for three dimensional optical trapping, manipulation and analysis," Nat. Photonics 1, 723-727 (2007).
[CrossRef]

Neuman, K. C.

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

O'Neil, A. T.

A. T. O'Neil and M. J. Padgett, "Axial and lateral trapping efficiency of Laguerre-Gaussian modes in optical tweezers," Opt. Commun. 193, 45-50 (2001).
[CrossRef]

Padgett, M. J.

A. T. O'Neil and M. J. Padgett, "Axial and lateral trapping efficiency of Laguerre-Gaussian modes in optical tweezers," Opt. Commun. 193, 45-50 (2001).
[CrossRef]

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]

Petrov, D. V.

C. M. Creely, G. Volpe, G. P. Singh, M. Soler, and D. V. Petrov, "Raman imaging of floating cells," Opt. Express 12, 6105-6110 (2005).
[CrossRef]

Sidick, E.

E. Sidick, S. D. Collins, and A. Knoesen, "Trapping forces in a multiple-beam fiber-optic trap," Appl. Opt 36, 6423-6433 (1997).
[CrossRef]

Simpson, N. B.

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]

Singh, G. P.

C. M. Creely, G. Volpe, G. P. Singh, M. Soler, and D. V. Petrov, "Raman imaging of floating cells," Opt. Express 12, 6105-6110 (2005).
[CrossRef]

Soler, M.

C. M. Creely, G. Volpe, G. P. Singh, M. Soler, and D. V. Petrov, "Raman imaging of floating cells," Opt. Express 12, 6105-6110 (2005).
[CrossRef]

Taguchi, K.

K. Taguchi, H. Ueno, T. Hiramatsu, and M. Ikeda, "Optical trapping of dielectric particle and biological cell using optical fibre," Electron. Lett. 33, 1413-1414 (1997).
[CrossRef]

Ueno, H.

K. Taguchi, H. Ueno, T. Hiramatsu, and M. Ikeda, "Optical trapping of dielectric particle and biological cell using optical fibre," Electron. Lett. 33, 1413-1414 (1997).
[CrossRef]

Volpe, G.

C. M. Creely, G. Volpe, G. P. Singh, M. Soler, and D. V. Petrov, "Raman imaging of floating cells," Opt. Express 12, 6105-6110 (2005).
[CrossRef]

Winhold, H.

J. Chan, H. Winhold, S. Lane, and T. Huser "Optical Trapping and Coherent Anti-Stokes Raman Scattering (CARS) Spectroscopy of submicron-size particles," IEEE J. Sel. Top. Quantum Electron. 11, 858-863 (2005).
[CrossRef]

Yang, J.

Z. Liu, C. Guo, J. Yang, and L. Yuan "Tapered fiber optical tweezer for microscopic particle trapping: fabrication and application," Opt. Express 14, 12511-12516 (2006).
[CrossRef]

Yuan, L.

Z. Liu, C. Guo, J. Yang, and L. Yuan "Tapered fiber optical tweezer for microscopic particle trapping: fabrication and application," Opt. Express 14, 12511-12516 (2006).
[CrossRef]

Appl. Opt

E. Sidick, S. D. Collins, and A. Knoesen, "Trapping forces in a multiple-beam fiber-optic trap," Appl. Opt 36, 6423-6433 (1997).
[CrossRef]

Appl. Opt.

Biophys. J.

A. Ashkin, "Forces of a single beam gradient laser trap on a dielectric sphere in the ray optics regime," Biophys. J. 61, 569-582 (1992).
[CrossRef] [PubMed]

Electron. Lett.

K. Taguchi, H. Ueno, T. Hiramatsu, and M. Ikeda, "Optical trapping of dielectric particle and biological cell using optical fibre," Electron. Lett. 33, 1413-1414 (1997).
[CrossRef]

IEEE J. Sel. Top. Quantum Electron.

J. Chan, H. Winhold, S. Lane, and T. Huser "Optical Trapping and Coherent Anti-Stokes Raman Scattering (CARS) Spectroscopy of submicron-size particles," IEEE J. Sel. Top. Quantum Electron. 11, 858-863 (2005).
[CrossRef]

P. Minzioni, F. Bragheri, C. Liberale, E. Di Fabrizio, and I. Cristiani, "A Novel Approach to Fiber-Optic Tweezers: Numerical Analysis of the Trapping Efficiency," IEEE J. Sel. Top. Quantum Electron. 14, 151-157 (2008).
[CrossRef]

J. Mod. Opt.

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]

Nat. Photonics

C. Liberale, P. Minzioni, F. Bragheri, F. De Angelis, E. Di Fabrizio, and I. Cristiani, "Miniaturized all-fiber probe for three dimensional optical trapping, manipulation and analysis," Nat. Photonics 1, 723-727 (2007).
[CrossRef]

Opt. Commun.

A. T. O'Neil and M. J. Padgett, "Axial and lateral trapping efficiency of Laguerre-Gaussian modes in optical tweezers," Opt. Commun. 193, 45-50 (2001).
[CrossRef]

Opt. Express

C. M. Creely, G. Volpe, G. P. Singh, M. Soler, and D. V. Petrov, "Raman imaging of floating cells," Opt. Express 12, 6105-6110 (2005).
[CrossRef]

Z. Liu, C. Guo, J. Yang, and L. Yuan "Tapered fiber optical tweezer for microscopic particle trapping: fabrication and application," Opt. Express 14, 12511-12516 (2006).
[CrossRef]

V. Emiliani, D. Cojoc, E. Ferrari, V. Garbin, C. Durieux, M. Coppey-Moisan, and E. Di Fabrizio "Wave front engineering for microscopy of living cells," Opt. Express 13, 1395-1405 (2005).
[CrossRef] [PubMed]

Rev. Sci. Instrum.

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

Supplementary Material (1)

» Media 1: AVI (4559 KB)     

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Figures (4)

Fig. 1.
Fig. 1.

Scheme of the OT under investigation. (a) Cross section of the four-fiber bundle. The cores are represented by dark gray spots lying on an ideal annulus with radius R. (b) Longitudinal section of the four- fiber bundle. Each beam propagating in the cores experiences total internal reflection at the cut surface and then refraction at the fiber-medium interface.

Fig. 2.
Fig. 2.

Scheme of the method exploited to calculate the optical field. At each step along the axis z’ we calculate (a) the amplitude and the curvature radius of the Gaussian beam and we exploit them to obtain respectively the power and the propagation direction, angle α, of each ray. The optical forces exerted on the particle are then calculated and by a roto-translation of the frame of reference (b) the total forces distribution in the BB-TOFT geometry is obtained.

Fig. 3.
Fig. 3.

Example of a contour plot of the Q factor, (a), and of the work per unit power, (b) (Media 1), calculated for the fiber-bundle structure with geometrical parameter: bundle diameter R=55 µm, beam diameter w=8 µm and cutting angle θ=66°. Both parameters are shown in the yz plane: due to the BB-TOFT symmetry, identical results have been obtained in the xz plane

Fig. 4.
Fig. 4.

Escape energy and trapping distance calculated in function of bundle radius R (a) and (b) respectively, and in function of the cutting angle θ (c) and (d). In all cases the analysis of the escape energy variation is evaluated for different values of the MFD.

Metrics