Abstract

We report on the optical trapping of water droplets with a supercontinuum laser source. Droplet size is determined by observing the spectrum of the on-axis backscattered light. In contrast to to monochromatic trapping, the broad spectrum of the supercontinuum covers several resonances of the first excited Mie coefficients. A minimum value of Q ~0.16 for the trapping efficiency is estimated.

© 2008 Optical Society of America

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2008 (4)

K. Dholakia, P. Reece, and M. Gu, "Optical micromanipulation," Chem. Soc. Rev. 37, 42-55 (2008).
[CrossRef] [PubMed]

M. Guillon and B. Stout, "Optical trapping and binding in air: imaging and spectroscopic analysis," Phys. Rev. A 77, 023806 (2008).
[CrossRef]

D. McGloin, D. R. Burnham, M. D. Summers, D. Rudd, N. Dewar, and S. Anand, "Optical manipulation of airborne particles: techniques and applications," Faraday Discuss. 137, 335-350 (2008).
[CrossRef] [PubMed]

J. R. Butler, L. Mitchem, K. L. Hanford, L. Treuelb, and J. P. Reid, "In situ comparative measurements of the properties of aerosol droplets of different chemical composition," Faraday Discuss. 137, 351-366 (2008).
[CrossRef] [PubMed]

2007 (3)

J. Buajarern, L. Mitchem, and J. P. Reid, "Manipulation and characterization of aqueous sodium dodecyl sulfate/ sodium chloride aerosol particles," J. Phys. Chem. A 111, 13038-13045 (2007).
[CrossRef] [PubMed]

J. Buajarern, L. Mitchem, and J. P. Reid, "Characterizing multiphase Organic/Inorganic/Aqueous aerosol droplets," J. Phys. Chem. A  111, 9054-9061 (2007).
[CrossRef] [PubMed]

R. Leonardo,  et al., "Parametric resonance of optically trapped aerosols," Phys. Rev. Lett. 99, 010601 (2007).
[CrossRef] [PubMed]

2006 (5)

2005 (2)

2004 (2)

R. J. Hopkins, L. Mitchem, A. D. Ward, and J. P. Reid, "Control and characterisation of a single aerosol droplet in a single beam gradient force optical trap," Phys. Chem. Chem. Phys. 6, 4924-4927 (2004).
[CrossRef]

M. D. King, K. C. Thompson, and A. D. Ward, "Laser tweezers Raman study of optically trapped aerosol droplets of Seawater and oleic acid reacting with ozone: Implications for cloud-droplet properties," JACS 126, 16710-16711 (2004).
[CrossRef]

2003 (2)

N. Magome, M. I. Kohira, E. Hayata, S. Mukai, and K. Yoshikawa, "Optical trapping of a growing water droplet in air," J. Phys. Chem. B 107, 3988-3990 (2003).
[CrossRef]

A. Mazolli, P. A. Maia Neto, and H. M. Nussenzveig,"Theory of trapping forces in optical tweezers," Proc. R. Soc. Lond. A 459, 3021-3041 (2003).
[CrossRef]

2000 (1)

P. A. Maia Neto and H. M. Nussenzveig, "Theory of optical tweezers," Europhys. Lett. 50, 702-708 (2000).
[CrossRef]

1995 (1)

1992 (2)

1991 (1)

1983 (1)

1981 (1)

1977 (1)

A. Ashkin and J. M. Dziedzic, "Observation of Resonances in the Radiation Pressure on Dielectric Spheres," Phys. Rev. Lett. 38, 1351-1354 (1977).
[CrossRef]

1976 (1)

A. Ashkin and J. M. Dziedzic, "Optical levitation in high vacuum," Appl. Phys. Lett. 28, 333-335 (1976).
[CrossRef]

Anand, S.

D. McGloin, D. R. Burnham, M. D. Summers, D. Rudd, N. Dewar, and S. Anand, "Optical manipulation of airborne particles: techniques and applications," Faraday Discuss. 137, 335-350 (2008).
[CrossRef] [PubMed]

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]

P. Chylek, V. Ramaswamy, A. Ashkin, and J. M. Dziedzic, "Simultaneous determination of refractive index and size of spherical dielectric particles from light scattering data," Appl. Opt. 22, 2302-2307 (1983).
[CrossRef] [PubMed]

A. Ashkin and J. M. Dziedzic, "Observation of optical resonances of dielectric spheres by light scattering," Appl. Opt. 20, 1803-1814 (1981).
[CrossRef] [PubMed]

A. Ashkin and J. M. Dziedzic, "Observation of Resonances in the Radiation Pressure on Dielectric Spheres," Phys. Rev. Lett. 38, 1351-1354 (1977).
[CrossRef]

A. Ashkin and J. M. Dziedzic, "Optical levitation in high vacuum," Appl. Phys. Lett. 28, 333-335 (1976).
[CrossRef]

Booker, G. R.

Brown, C. T. A.

Buajarern, J.

J. Buajarern, L. Mitchem, and J. P. Reid, "Characterizing multiphase Organic/Inorganic/Aqueous aerosol droplets," J. Phys. Chem. A  111, 9054-9061 (2007).
[CrossRef] [PubMed]

J. Buajarern, L. Mitchem, and J. P. Reid, "Manipulation and characterization of aqueous sodium dodecyl sulfate/ sodium chloride aerosol particles," J. Phys. Chem. A 111, 13038-13045 (2007).
[CrossRef] [PubMed]

J. Buajarern, L. Mitchem, A. D. Ward, N. Hendrik Nahler, D. McGloin, and J. P. Reid, "Controlling and Characterising the Coagulation of Liquid Aerosol Droplets," J. Chem. Phys. 125, 114506 (2006).
[CrossRef] [PubMed]

Burnham, D. R.

D. McGloin, D. R. Burnham, M. D. Summers, D. Rudd, N. Dewar, and S. Anand, "Optical manipulation of airborne particles: techniques and applications," Faraday Discuss. 137, 335-350 (2008).
[CrossRef] [PubMed]

D. R. Burnham and D. McGloin, "Holographic optical trapping of aerosol droplets," Opt. Express, 14, 4175-4181 (2006).
[CrossRef] [PubMed]

Butler, J. R.

J. R. Butler, L. Mitchem, K. L. Hanford, L. Treuelb, and J. P. Reid, "In situ comparative measurements of the properties of aerosol droplets of different chemical composition," Faraday Discuss. 137, 351-366 (2008).
[CrossRef] [PubMed]

Byer, R. L.

Carruthers, A. E.

Chylek, P.

Dewar, N.

D. McGloin, D. R. Burnham, M. D. Summers, D. Rudd, N. Dewar, and S. Anand, "Optical manipulation of airborne particles: techniques and applications," Faraday Discuss. 137, 335-350 (2008).
[CrossRef] [PubMed]

Dholakia, K.

Dziedzic, J. M.

Fischer, P.

Gu, M.

K. Dholakia, P. Reece, and M. Gu, "Optical micromanipulation," Chem. Soc. Rev. 37, 42-55 (2008).
[CrossRef] [PubMed]

Guillon, M.

M. Guillon and B. Stout, "Optical trapping and binding in air: imaging and spectroscopic analysis," Phys. Rev. A 77, 023806 (2008).
[CrossRef]

M. Guillon, "Field enhancement in a chain of optically bound dipoles," Opt. Express 14, 3045-3055 (2006).
[CrossRef] [PubMed]

Hanford, K. L.

J. R. Butler, L. Mitchem, K. L. Hanford, L. Treuelb, and J. P. Reid, "In situ comparative measurements of the properties of aerosol droplets of different chemical composition," Faraday Discuss. 137, 351-366 (2008).
[CrossRef] [PubMed]

Hayata, E.

N. Magome, M. I. Kohira, E. Hayata, S. Mukai, and K. Yoshikawa, "Optical trapping of a growing water droplet in air," J. Phys. Chem. B 107, 3988-3990 (2003).
[CrossRef]

Hendrik Nahler, N.

J. Buajarern, L. Mitchem, A. D. Ward, N. Hendrik Nahler, D. McGloin, and J. P. Reid, "Controlling and Characterising the Coagulation of Liquid Aerosol Droplets," J. Chem. Phys. 125, 114506 (2006).
[CrossRef] [PubMed]

Hopkins, R. J.

R. J. Hopkins, L. Mitchem, A. D. Ward, and J. P. Reid, "Control and characterisation of a single aerosol droplet in a single beam gradient force optical trap," Phys. Chem. Chem. Phys. 6, 4924-4927 (2004).
[CrossRef]

King, M. D.

M. D. King, K. C. Thompson, and A. D. Ward, "Laser tweezers Raman study of optically trapped aerosol droplets of Seawater and oleic acid reacting with ozone: Implications for cloud-droplet properties," JACS 126, 16710-16711 (2004).
[CrossRef]

Kohira, M. I.

N. Magome, M. I. Kohira, E. Hayata, S. Mukai, and K. Yoshikawa, "Optical trapping of a growing water droplet in air," J. Phys. Chem. B 107, 3988-3990 (2003).
[CrossRef]

Laczik, Z.

Lam, C. C.

Leonardo, R.

R. Leonardo,  et al., "Parametric resonance of optically trapped aerosols," Phys. Rev. Lett. 99, 010601 (2007).
[CrossRef] [PubMed]

Leung, P. T.

Li, P.

Liu, Z.

Magome, N.

N. Magome, M. I. Kohira, E. Hayata, S. Mukai, and K. Yoshikawa, "Optical trapping of a growing water droplet in air," J. Phys. Chem. B 107, 3988-3990 (2003).
[CrossRef]

Maia Neto, P. A.

A. Mazolli, P. A. Maia Neto, and H. M. Nussenzveig,"Theory of trapping forces in optical tweezers," Proc. R. Soc. Lond. A 459, 3021-3041 (2003).
[CrossRef]

P. A. Maia Neto and H. M. Nussenzveig, "Theory of optical tweezers," Europhys. Lett. 50, 702-708 (2000).
[CrossRef]

Mazolli, A.

A. Mazolli, P. A. Maia Neto, and H. M. Nussenzveig,"Theory of trapping forces in optical tweezers," Proc. R. Soc. Lond. A 459, 3021-3041 (2003).
[CrossRef]

McGloin, D.

D. McGloin, D. R. Burnham, M. D. Summers, D. Rudd, N. Dewar, and S. Anand, "Optical manipulation of airborne particles: techniques and applications," Faraday Discuss. 137, 335-350 (2008).
[CrossRef] [PubMed]

D. McGloin, "Optical Tweezers: 20 years on," Philos. Trans. R. Soc. A 364, 3521-3527 (2006).
[CrossRef]

D. R. Burnham and D. McGloin, "Holographic optical trapping of aerosol droplets," Opt. Express, 14, 4175-4181 (2006).
[CrossRef] [PubMed]

J. Buajarern, L. Mitchem, A. D. Ward, N. Hendrik Nahler, D. McGloin, and J. P. Reid, "Controlling and Characterising the Coagulation of Liquid Aerosol Droplets," J. Chem. Phys. 125, 114506 (2006).
[CrossRef] [PubMed]

Mitchem, L.

J. R. Butler, L. Mitchem, K. L. Hanford, L. Treuelb, and J. P. Reid, "In situ comparative measurements of the properties of aerosol droplets of different chemical composition," Faraday Discuss. 137, 351-366 (2008).
[CrossRef] [PubMed]

J. Buajarern, L. Mitchem, and J. P. Reid, "Characterizing multiphase Organic/Inorganic/Aqueous aerosol droplets," J. Phys. Chem. A  111, 9054-9061 (2007).
[CrossRef] [PubMed]

J. Buajarern, L. Mitchem, and J. P. Reid, "Manipulation and characterization of aqueous sodium dodecyl sulfate/ sodium chloride aerosol particles," J. Phys. Chem. A 111, 13038-13045 (2007).
[CrossRef] [PubMed]

J. Buajarern, L. Mitchem, A. D. Ward, N. Hendrik Nahler, D. McGloin, and J. P. Reid, "Controlling and Characterising the Coagulation of Liquid Aerosol Droplets," J. Chem. Phys. 125, 114506 (2006).
[CrossRef] [PubMed]

R. J. Hopkins, L. Mitchem, A. D. Ward, and J. P. Reid, "Control and characterisation of a single aerosol droplet in a single beam gradient force optical trap," Phys. Chem. Chem. Phys. 6, 4924-4927 (2004).
[CrossRef]

Moine, O.

Mukai, S.

N. Magome, M. I. Kohira, E. Hayata, S. Mukai, and K. Yoshikawa, "Optical trapping of a growing water droplet in air," J. Phys. Chem. B 107, 3988-3990 (2003).
[CrossRef]

Nussenzveig, H. M.

A. Mazolli, P. A. Maia Neto, and H. M. Nussenzveig,"Theory of trapping forces in optical tweezers," Proc. R. Soc. Lond. A 459, 3021-3041 (2003).
[CrossRef]

P. A. Maia Neto and H. M. Nussenzveig, "Theory of optical tweezers," Europhys. Lett. 50, 702-708 (2000).
[CrossRef]

Ramaswamy, V.

Reece, P.

K. Dholakia, P. Reece, and M. Gu, "Optical micromanipulation," Chem. Soc. Rev. 37, 42-55 (2008).
[CrossRef] [PubMed]

Reid, J. P.

J. R. Butler, L. Mitchem, K. L. Hanford, L. Treuelb, and J. P. Reid, "In situ comparative measurements of the properties of aerosol droplets of different chemical composition," Faraday Discuss. 137, 351-366 (2008).
[CrossRef] [PubMed]

J. Buajarern, L. Mitchem, and J. P. Reid, "Manipulation and characterization of aqueous sodium dodecyl sulfate/ sodium chloride aerosol particles," J. Phys. Chem. A 111, 13038-13045 (2007).
[CrossRef] [PubMed]

J. Buajarern, L. Mitchem, and J. P. Reid, "Characterizing multiphase Organic/Inorganic/Aqueous aerosol droplets," J. Phys. Chem. A  111, 9054-9061 (2007).
[CrossRef] [PubMed]

J. Buajarern, L. Mitchem, A. D. Ward, N. Hendrik Nahler, D. McGloin, and J. P. Reid, "Controlling and Characterising the Coagulation of Liquid Aerosol Droplets," J. Chem. Phys. 125, 114506 (2006).
[CrossRef] [PubMed]

R. J. Hopkins, L. Mitchem, A. D. Ward, and J. P. Reid, "Control and characterisation of a single aerosol droplet in a single beam gradient force optical trap," Phys. Chem. Chem. Phys. 6, 4924-4927 (2004).
[CrossRef]

Rudd, D.

D. McGloin, D. R. Burnham, M. D. Summers, D. Rudd, N. Dewar, and S. Anand, "Optical manipulation of airborne particles: techniques and applications," Faraday Discuss. 137, 335-350 (2008).
[CrossRef] [PubMed]

Schiller, S.

Shi, K.

Sibbett, W.

Stout, B.

M. Guillon and B. Stout, "Optical trapping and binding in air: imaging and spectroscopic analysis," Phys. Rev. A 77, 023806 (2008).
[CrossRef]

O. Moine and B. Stout, "Optical force calculations inarbitrary beams by the use of the vector addition theorem," J. Opt. Soc. Am. B 22, 1620-1631 (2005).
[CrossRef]

Summers, M. D.

D. McGloin, D. R. Burnham, M. D. Summers, D. Rudd, N. Dewar, and S. Anand, "Optical manipulation of airborne particles: techniques and applications," Faraday Discuss. 137, 335-350 (2008).
[CrossRef] [PubMed]

Thompson, K. C.

M. D. King, K. C. Thompson, and A. D. Ward, "Laser tweezers Raman study of optically trapped aerosol droplets of Seawater and oleic acid reacting with ozone: Implications for cloud-droplet properties," JACS 126, 16710-16711 (2004).
[CrossRef]

Torok, P.

Treuelb, L.

J. R. Butler, L. Mitchem, K. L. Hanford, L. Treuelb, and J. P. Reid, "In situ comparative measurements of the properties of aerosol droplets of different chemical composition," Faraday Discuss. 137, 351-366 (2008).
[CrossRef] [PubMed]

Varga, P.

Volke-Sepulveda, K.

Ward, A. D.

J. Buajarern, L. Mitchem, A. D. Ward, N. Hendrik Nahler, D. McGloin, and J. P. Reid, "Controlling and Characterising the Coagulation of Liquid Aerosol Droplets," J. Chem. Phys. 125, 114506 (2006).
[CrossRef] [PubMed]

M. D. King, K. C. Thompson, and A. D. Ward, "Laser tweezers Raman study of optically trapped aerosol droplets of Seawater and oleic acid reacting with ozone: Implications for cloud-droplet properties," JACS 126, 16710-16711 (2004).
[CrossRef]

R. J. Hopkins, L. Mitchem, A. D. Ward, and J. P. Reid, "Control and characterisation of a single aerosol droplet in a single beam gradient force optical trap," Phys. Chem. Chem. Phys. 6, 4924-4927 (2004).
[CrossRef]

Wright, E. M.

Yoshikawa, K.

N. Magome, M. I. Kohira, E. Hayata, S. Mukai, and K. Yoshikawa, "Optical trapping of a growing water droplet in air," J. Phys. Chem. B 107, 3988-3990 (2003).
[CrossRef]

Young, K.

Appl. Opt. (2)

Appl. Phys. Lett. (1)

A. Ashkin and J. M. Dziedzic, "Optical levitation in high vacuum," Appl. Phys. Lett. 28, 333-335 (1976).
[CrossRef]

Biophys. J. (1)

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]

Chem. Soc. Rev. (1)

K. Dholakia, P. Reece, and M. Gu, "Optical micromanipulation," Chem. Soc. Rev. 37, 42-55 (2008).
[CrossRef] [PubMed]

Europhys. Lett. (1)

P. A. Maia Neto and H. M. Nussenzveig, "Theory of optical tweezers," Europhys. Lett. 50, 702-708 (2000).
[CrossRef]

Faraday Discuss. (2)

D. McGloin, D. R. Burnham, M. D. Summers, D. Rudd, N. Dewar, and S. Anand, "Optical manipulation of airborne particles: techniques and applications," Faraday Discuss. 137, 335-350 (2008).
[CrossRef] [PubMed]

J. R. Butler, L. Mitchem, K. L. Hanford, L. Treuelb, and J. P. Reid, "In situ comparative measurements of the properties of aerosol droplets of different chemical composition," Faraday Discuss. 137, 351-366 (2008).
[CrossRef] [PubMed]

J. Chem. Phys. (1)

J. Buajarern, L. Mitchem, A. D. Ward, N. Hendrik Nahler, D. McGloin, and J. P. Reid, "Controlling and Characterising the Coagulation of Liquid Aerosol Droplets," J. Chem. Phys. 125, 114506 (2006).
[CrossRef] [PubMed]

J. Opt. Soc. Am. A (1)

J. Opt. Soc. Am. B (2)

J. Phys. Chem. A (2)

J. Buajarern, L. Mitchem, and J. P. Reid, "Manipulation and characterization of aqueous sodium dodecyl sulfate/ sodium chloride aerosol particles," J. Phys. Chem. A 111, 13038-13045 (2007).
[CrossRef] [PubMed]

J. Buajarern, L. Mitchem, and J. P. Reid, "Characterizing multiphase Organic/Inorganic/Aqueous aerosol droplets," J. Phys. Chem. A  111, 9054-9061 (2007).
[CrossRef] [PubMed]

J. Phys. Chem. B (1)

N. Magome, M. I. Kohira, E. Hayata, S. Mukai, and K. Yoshikawa, "Optical trapping of a growing water droplet in air," J. Phys. Chem. B 107, 3988-3990 (2003).
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JACS (1)

M. D. King, K. C. Thompson, and A. D. Ward, "Laser tweezers Raman study of optically trapped aerosol droplets of Seawater and oleic acid reacting with ozone: Implications for cloud-droplet properties," JACS 126, 16710-16711 (2004).
[CrossRef]

Opt. Express (3)

Opt. Lett. (2)

Philos. Trans. R. Soc. A (1)

D. McGloin, "Optical Tweezers: 20 years on," Philos. Trans. R. Soc. A 364, 3521-3527 (2006).
[CrossRef]

Phys. Chem. Chem. Phys. (1)

R. J. Hopkins, L. Mitchem, A. D. Ward, and J. P. Reid, "Control and characterisation of a single aerosol droplet in a single beam gradient force optical trap," Phys. Chem. Chem. Phys. 6, 4924-4927 (2004).
[CrossRef]

Phys. Rev. A (1)

M. Guillon and B. Stout, "Optical trapping and binding in air: imaging and spectroscopic analysis," Phys. Rev. A 77, 023806 (2008).
[CrossRef]

Phys. Rev. Lett. (2)

A. Ashkin and J. M. Dziedzic, "Observation of Resonances in the Radiation Pressure on Dielectric Spheres," Phys. Rev. Lett. 38, 1351-1354 (1977).
[CrossRef]

R. Leonardo,  et al., "Parametric resonance of optically trapped aerosols," Phys. Rev. Lett. 99, 010601 (2007).
[CrossRef] [PubMed]

Proc. R. Soc. Lond. A (1)

A. Mazolli, P. A. Maia Neto, and H. M. Nussenzveig,"Theory of trapping forces in optical tweezers," Proc. R. Soc. Lond. A 459, 3021-3041 (2003).
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Other (4)

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[CrossRef]

D. R. Burnham and D. McGloin, manuscript in preparation

D. A. Varshalovich, A. M. Moskalev, and V. K. Khersonskii, Quantum theory of angular momentum (World Scientific, Singapor, 1988), 1st edition, ISBN 9971-50-107-4.

C. F. Bohren and D. R. Huffman, Absorption and scattering of light by small particles (John Willey, New York, 1983) Chap. 4.

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Figures (5)

Fig. 1.
Fig. 1.

Trapping experimental configuration. The light reflected on the trapped droplet is imaged on a spectrometer using a 70/30 beam-splitter.

Fig. 2.
Fig. 2.

Theoretical linear fit of resonances gathered for a 3.15µm-radius droplet. The equation of the line is 1 λ = p 0 p 4 Na with p 0=25.33 and 4Na=16.75. For p 0 we would expect a integer plus 1/2 from theoreticalmodelling but experimental incertainties do not enable such a precise value to be measured.

Fig. 3.
Fig. 3.

Experimental normalized back-scattered spectrum coming from a droplet at three different trapping powers: 4mW (blue), 2mW (green), 1mW (red), 1mW×10 scale enhanced (dashed red). The black arrows indicate the blue-drifting of peaks as the droplet is also evaporating during the experiment.

Fig. 4.
Fig. 4.

Minimum and maximum trapping powers as a function of the radius of the water droplet. The red-dashed suggests that the optical force balance the weight. The green-solid line allows the calculation of a trapping efficiency along the axis. For the ~3.2µm in radius droplet, the trapping efficiency is roughly 16%.

Fig. 5.
Fig. 5.

(a) Color-coded back-scattered normalized spectrum coming from an evaporating salt water droplet. The spectrum is slightly blue-drifting with time. (b) Corresponding evolution of the radius obtained from the fit of the spectrum by a sine function. The evaporation is fitted with a exponential curve having a 205s decreasing time. An error-bar corresponding to a ±1% precision is added at 120s.

Equations (2)

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E ( θ = π ) = i exp ( i k r ) kr x n 1 G n ( n + 1 2 ) ( a n b n )
a n b n = i ( 1 ) ( n + 1 ) exp ( 2 i x ) sin ( 2 N x ) α cos ( 2 N x ) i sin ( 2 N x )

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