Abstract

We show that errors in the calculation of spherical Hankel functions for very small size parameters does not affect the calculation of optical trapping forces; predicted forces agree with the Rayleigh formula.

© 2009 Optical Society of America

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References

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  1. T. A. Nieminen, V. L. Y. Loke, A. B. Stilgoe, G. Knoner, A. M. Branczyk, N. R. Heckenberg and H. Rubinsztein-Dunlop, "Optical tweezers computational toolbox," J. Opt. A 9, 5192-S203 (2007).
    [CrossRef]
  2. J. H. Crichton and P. L. Marston, "The measurable distinction between the spin and orbital angular momenta of electromagnetic radiation," Electron. J. Differ. Equations Conf. 04, 37-50 (2000).
  3. Y. Harada and T. Asakura, "Radiation forces on a dielectric sphere in the Rayleigh scattering regime," Opt. Commun. 124, 529-541 (1996).
    [CrossRef]
  4. A. B. Stilgoe, T. A. Nieminen, G. Kn¨oner, N. R. Heckenberg and H. Rubinsztein-Dunlop, "The effect of Mie resonances on trapping in optical tweezers," Opt. Express 16, 15039-15051 (2008).
    [CrossRef] [PubMed]
  5. W. Singer, T. A. Nieminen, N. R. Heckenberg and H. Rubinsztein-Dunlop, "Collecting single molecules with conventional optical tweezers," Phys. Rev. E 75, 011916 (2007).
    [CrossRef]

2008

2007

W. Singer, T. A. Nieminen, N. R. Heckenberg and H. Rubinsztein-Dunlop, "Collecting single molecules with conventional optical tweezers," Phys. Rev. E 75, 011916 (2007).
[CrossRef]

T. A. Nieminen, V. L. Y. Loke, A. B. Stilgoe, G. Knoner, A. M. Branczyk, N. R. Heckenberg and H. Rubinsztein-Dunlop, "Optical tweezers computational toolbox," J. Opt. A 9, 5192-S203 (2007).
[CrossRef]

2000

J. H. Crichton and P. L. Marston, "The measurable distinction between the spin and orbital angular momenta of electromagnetic radiation," Electron. J. Differ. Equations Conf. 04, 37-50 (2000).

1996

Y. Harada and T. Asakura, "Radiation forces on a dielectric sphere in the Rayleigh scattering regime," Opt. Commun. 124, 529-541 (1996).
[CrossRef]

Asakura, T.

Y. Harada and T. Asakura, "Radiation forces on a dielectric sphere in the Rayleigh scattering regime," Opt. Commun. 124, 529-541 (1996).
[CrossRef]

Branczyk, A. M.

T. A. Nieminen, V. L. Y. Loke, A. B. Stilgoe, G. Knoner, A. M. Branczyk, N. R. Heckenberg and H. Rubinsztein-Dunlop, "Optical tweezers computational toolbox," J. Opt. A 9, 5192-S203 (2007).
[CrossRef]

Crichton, J. H.

J. H. Crichton and P. L. Marston, "The measurable distinction between the spin and orbital angular momenta of electromagnetic radiation," Electron. J. Differ. Equations Conf. 04, 37-50 (2000).

Harada, Y.

Y. Harada and T. Asakura, "Radiation forces on a dielectric sphere in the Rayleigh scattering regime," Opt. Commun. 124, 529-541 (1996).
[CrossRef]

Heckenberg, N. R.

A. B. Stilgoe, T. A. Nieminen, G. Kn¨oner, N. R. Heckenberg and H. Rubinsztein-Dunlop, "The effect of Mie resonances on trapping in optical tweezers," Opt. Express 16, 15039-15051 (2008).
[CrossRef] [PubMed]

T. A. Nieminen, V. L. Y. Loke, A. B. Stilgoe, G. Knoner, A. M. Branczyk, N. R. Heckenberg and H. Rubinsztein-Dunlop, "Optical tweezers computational toolbox," J. Opt. A 9, 5192-S203 (2007).
[CrossRef]

W. Singer, T. A. Nieminen, N. R. Heckenberg and H. Rubinsztein-Dunlop, "Collecting single molecules with conventional optical tweezers," Phys. Rev. E 75, 011916 (2007).
[CrossRef]

Kn¨oner, G.

Knoner, G.

T. A. Nieminen, V. L. Y. Loke, A. B. Stilgoe, G. Knoner, A. M. Branczyk, N. R. Heckenberg and H. Rubinsztein-Dunlop, "Optical tweezers computational toolbox," J. Opt. A 9, 5192-S203 (2007).
[CrossRef]

Loke, V. L. Y.

T. A. Nieminen, V. L. Y. Loke, A. B. Stilgoe, G. Knoner, A. M. Branczyk, N. R. Heckenberg and H. Rubinsztein-Dunlop, "Optical tweezers computational toolbox," J. Opt. A 9, 5192-S203 (2007).
[CrossRef]

Marston, P. L.

J. H. Crichton and P. L. Marston, "The measurable distinction between the spin and orbital angular momenta of electromagnetic radiation," Electron. J. Differ. Equations Conf. 04, 37-50 (2000).

Nieminen, T. A.

A. B. Stilgoe, T. A. Nieminen, G. Kn¨oner, N. R. Heckenberg and H. Rubinsztein-Dunlop, "The effect of Mie resonances on trapping in optical tweezers," Opt. Express 16, 15039-15051 (2008).
[CrossRef] [PubMed]

W. Singer, T. A. Nieminen, N. R. Heckenberg and H. Rubinsztein-Dunlop, "Collecting single molecules with conventional optical tweezers," Phys. Rev. E 75, 011916 (2007).
[CrossRef]

T. A. Nieminen, V. L. Y. Loke, A. B. Stilgoe, G. Knoner, A. M. Branczyk, N. R. Heckenberg and H. Rubinsztein-Dunlop, "Optical tweezers computational toolbox," J. Opt. A 9, 5192-S203 (2007).
[CrossRef]

Rubinsztein-Dunlop, H.

A. B. Stilgoe, T. A. Nieminen, G. Kn¨oner, N. R. Heckenberg and H. Rubinsztein-Dunlop, "The effect of Mie resonances on trapping in optical tweezers," Opt. Express 16, 15039-15051 (2008).
[CrossRef] [PubMed]

T. A. Nieminen, V. L. Y. Loke, A. B. Stilgoe, G. Knoner, A. M. Branczyk, N. R. Heckenberg and H. Rubinsztein-Dunlop, "Optical tweezers computational toolbox," J. Opt. A 9, 5192-S203 (2007).
[CrossRef]

W. Singer, T. A. Nieminen, N. R. Heckenberg and H. Rubinsztein-Dunlop, "Collecting single molecules with conventional optical tweezers," Phys. Rev. E 75, 011916 (2007).
[CrossRef]

Singer, W.

W. Singer, T. A. Nieminen, N. R. Heckenberg and H. Rubinsztein-Dunlop, "Collecting single molecules with conventional optical tweezers," Phys. Rev. E 75, 011916 (2007).
[CrossRef]

Stilgoe, A. B.

A. B. Stilgoe, T. A. Nieminen, G. Kn¨oner, N. R. Heckenberg and H. Rubinsztein-Dunlop, "The effect of Mie resonances on trapping in optical tweezers," Opt. Express 16, 15039-15051 (2008).
[CrossRef] [PubMed]

T. A. Nieminen, V. L. Y. Loke, A. B. Stilgoe, G. Knoner, A. M. Branczyk, N. R. Heckenberg and H. Rubinsztein-Dunlop, "Optical tweezers computational toolbox," J. Opt. A 9, 5192-S203 (2007).
[CrossRef]

Electron. J. Differ. Equations Conf.

J. H. Crichton and P. L. Marston, "The measurable distinction between the spin and orbital angular momenta of electromagnetic radiation," Electron. J. Differ. Equations Conf. 04, 37-50 (2000).

J. Opt. A

T. A. Nieminen, V. L. Y. Loke, A. B. Stilgoe, G. Knoner, A. M. Branczyk, N. R. Heckenberg and H. Rubinsztein-Dunlop, "Optical tweezers computational toolbox," J. Opt. A 9, 5192-S203 (2007).
[CrossRef]

Opt. Commun.

Y. Harada and T. Asakura, "Radiation forces on a dielectric sphere in the Rayleigh scattering regime," Opt. Commun. 124, 529-541 (1996).
[CrossRef]

Opt. Express

Phys. Rev. E

W. Singer, T. A. Nieminen, N. R. Heckenberg and H. Rubinsztein-Dunlop, "Collecting single molecules with conventional optical tweezers," Phys. Rev. E 75, 011916 (2007).
[CrossRef]

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Tables (1)

Tables Icon

Table 1. Convergence of trap strength Q max and equilibrium position z 0 with increasing n max. The differences between the calculated values and the final converged values (Q max = 2.22×10-5 and z 0 = 2.92×10-4 λ) is shown.

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