Abstract

We examine the properties of interfering high-order Bessel beams. We implement an experimental setup that allows us to realize these interferograms, using interfering Laguerre–Gaussian beams and an axicon. We demonstrate the use of such beams for controlled rotation of microscopic particles in optical tweezers and rotators. The self-healing properties of interfering Bessel beams allow the simultaneous manipulation and rotation of particles in spatially separated sample cells.

© 2003 Optical Society of America

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    [CrossRef]

2002 (2)

M. P. MacDonald, L. Paterson, K. Volke-Sepulveda, J. Arlt, W. Sibbett, and K. Dholakia, Science 296, 1101 (2002).
[CrossRef] [PubMed]

V. Garcés-Chávez, D. McGloin, H. Melville, W. Sibbett, and K. Dholakia, Nature 419, 145 (2002).
[CrossRef]

2001 (2)

J. Arlt, V. Garcés-Chávez, W. Sibbett, and K. Dholakia, Opt. Commun. 197, 239 (2001).
[CrossRef]

J. Arlt, K. Dholakia, J. Sonesen, and E. M. Wright, Phys. Rev. A 63, 063602 (2001).
[CrossRef]

2000 (3)

V. Jarutis, R. Paskauskas, and A. Stabinis, Opt. Commun. 184, 105 (2000).
[CrossRef]

J. Arlt and K. Dholakia, Opt. Commun. 177, 297 (2000).
[CrossRef]

J. Arlt, T. Hitomi, and K. Dholakia, Appl. Phys. B 71, 549 (2000).
[CrossRef]

1998 (3)

1997 (1)

V. E. Peet and R. V. Tsubin, Phys. Rev. A 56, 1613 (1997).
[CrossRef]

1996 (1)

1991 (1)

1989 (1)

1987 (2)

J. Durnin, J. Opt. Soc. Am. B 4, 651 (1987).
[CrossRef]

J. Durnin, J. J. Miceli, and J. H. Eberly, Phys. Rev. Lett. 58, 1499 (1987).
[CrossRef] [PubMed]

Arlt, J.

M. P. MacDonald, L. Paterson, K. Volke-Sepulveda, J. Arlt, W. Sibbett, and K. Dholakia, Science 296, 1101 (2002).
[CrossRef] [PubMed]

J. Arlt, V. Garcés-Chávez, W. Sibbett, and K. Dholakia, Opt. Commun. 197, 239 (2001).
[CrossRef]

J. Arlt, K. Dholakia, J. Sonesen, and E. M. Wright, Phys. Rev. A 63, 063602 (2001).
[CrossRef]

J. Arlt and K. Dholakia, Opt. Commun. 177, 297 (2000).
[CrossRef]

J. Arlt, T. Hitomi, and K. Dholakia, Appl. Phys. B 71, 549 (2000).
[CrossRef]

Bouchal, Z.

Z. Bouchal, J. Wagner, and M. Chlup, Opt. Commun. 151, 207 (1998).
[CrossRef]

Chávez-Cerda, S.

Chlup, M.

Z. Bouchal, J. Wagner, and M. Chlup, Opt. Commun. 151, 207 (1998).
[CrossRef]

Dholakia, K.

M. P. MacDonald, L. Paterson, K. Volke-Sepulveda, J. Arlt, W. Sibbett, and K. Dholakia, Science 296, 1101 (2002).
[CrossRef] [PubMed]

V. Garcés-Chávez, D. McGloin, H. Melville, W. Sibbett, and K. Dholakia, Nature 419, 145 (2002).
[CrossRef]

J. Arlt, K. Dholakia, J. Sonesen, and E. M. Wright, Phys. Rev. A 63, 063602 (2001).
[CrossRef]

J. Arlt, V. Garcés-Chávez, W. Sibbett, and K. Dholakia, Opt. Commun. 197, 239 (2001).
[CrossRef]

J. Arlt and K. Dholakia, Opt. Commun. 177, 297 (2000).
[CrossRef]

J. Arlt, T. Hitomi, and K. Dholakia, Appl. Phys. B 71, 549 (2000).
[CrossRef]

Durnin, J.

J. Durnin, J. Opt. Soc. Am. B 4, 651 (1987).
[CrossRef]

J. Durnin, J. J. Miceli, and J. H. Eberly, Phys. Rev. Lett. 58, 1499 (1987).
[CrossRef] [PubMed]

Eberly, J. H.

J. Durnin, J. J. Miceli, and J. H. Eberly, Phys. Rev. Lett. 58, 1499 (1987).
[CrossRef] [PubMed]

Friberg, A. T.

Garcés-Chávez, V.

V. Garcés-Chávez, D. McGloin, H. Melville, W. Sibbett, and K. Dholakia, Nature 419, 145 (2002).
[CrossRef]

J. Arlt, V. Garcés-Chávez, W. Sibbett, and K. Dholakia, Opt. Commun. 197, 239 (2001).
[CrossRef]

Gomez-Reino, C.

Herman, R. M.

Hickmann, J. Miguel

Hitomi, T.

J. Arlt, T. Hitomi, and K. Dholakia, Appl. Phys. B 71, 549 (2000).
[CrossRef]

Jaroszewicz, Z.

Jarutis, V.

V. Jarutis, R. Paskauskas, and A. Stabinis, Opt. Commun. 184, 105 (2000).
[CrossRef]

Kolodziejczyk, A.

Kuljawski, A.

MacDonald, M. P.

M. P. MacDonald, L. Paterson, K. Volke-Sepulveda, J. Arlt, W. Sibbett, and K. Dholakia, Science 296, 1101 (2002).
[CrossRef] [PubMed]

McGloin, D.

V. Garcés-Chávez, D. McGloin, H. Melville, W. Sibbett, and K. Dholakia, Nature 419, 145 (2002).
[CrossRef]

Melville, H.

V. Garcés-Chávez, D. McGloin, H. Melville, W. Sibbett, and K. Dholakia, Nature 419, 145 (2002).
[CrossRef]

Memeses-Nava, A.

Meneses-Nava, M. A.

Miceli, J. J.

J. Durnin, J. J. Miceli, and J. H. Eberly, Phys. Rev. Lett. 58, 1499 (1987).
[CrossRef] [PubMed]

Paskauskas, R.

V. Jarutis, R. Paskauskas, and A. Stabinis, Opt. Commun. 184, 105 (2000).
[CrossRef]

Paterson, L.

M. P. MacDonald, L. Paterson, K. Volke-Sepulveda, J. Arlt, W. Sibbett, and K. Dholakia, Science 296, 1101 (2002).
[CrossRef] [PubMed]

Peet, V. E.

V. E. Peet and R. V. Tsubin, Phys. Rev. A 56, 1613 (1997).
[CrossRef]

Ramirez, G.

Sibbett, W.

V. Garcés-Chávez, D. McGloin, H. Melville, W. Sibbett, and K. Dholakia, Nature 419, 145 (2002).
[CrossRef]

M. P. MacDonald, L. Paterson, K. Volke-Sepulveda, J. Arlt, W. Sibbett, and K. Dholakia, Science 296, 1101 (2002).
[CrossRef] [PubMed]

J. Arlt, V. Garcés-Chávez, W. Sibbett, and K. Dholakia, Opt. Commun. 197, 239 (2001).
[CrossRef]

Sonesen, J.

J. Arlt, K. Dholakia, J. Sonesen, and E. M. Wright, Phys. Rev. A 63, 063602 (2001).
[CrossRef]

Stabinis, A.

V. Jarutis, R. Paskauskas, and A. Stabinis, Opt. Commun. 184, 105 (2000).
[CrossRef]

Tepichin, E.

Tsubin, R. V.

V. E. Peet and R. V. Tsubin, Phys. Rev. A 56, 1613 (1997).
[CrossRef]

Turunen, J.

Vasara, A.

Volke-Sepulveda, K.

M. P. MacDonald, L. Paterson, K. Volke-Sepulveda, J. Arlt, W. Sibbett, and K. Dholakia, Science 296, 1101 (2002).
[CrossRef] [PubMed]

Wagner, J.

Z. Bouchal, J. Wagner, and M. Chlup, Opt. Commun. 151, 207 (1998).
[CrossRef]

Wiggins, T. A.

Wright, E. M.

J. Arlt, K. Dholakia, J. Sonesen, and E. M. Wright, Phys. Rev. A 63, 063602 (2001).
[CrossRef]

Appl. Phys. B (1)

J. Arlt, T. Hitomi, and K. Dholakia, Appl. Phys. B 71, 549 (2000).
[CrossRef]

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

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

J. Durnin, J. Opt. Soc. Am. B 4, 651 (1987).
[CrossRef]

Nature (1)

V. Garcés-Chávez, D. McGloin, H. Melville, W. Sibbett, and K. Dholakia, Nature 419, 145 (2002).
[CrossRef]

Opt. Commun. (4)

Z. Bouchal, J. Wagner, and M. Chlup, Opt. Commun. 151, 207 (1998).
[CrossRef]

V. Jarutis, R. Paskauskas, and A. Stabinis, Opt. Commun. 184, 105 (2000).
[CrossRef]

J. Arlt, V. Garcés-Chávez, W. Sibbett, and K. Dholakia, Opt. Commun. 197, 239 (2001).
[CrossRef]

J. Arlt and K. Dholakia, Opt. Commun. 177, 297 (2000).
[CrossRef]

Opt. Express (1)

Opt. Lett. (2)

Phys. Rev. A (2)

V. E. Peet and R. V. Tsubin, Phys. Rev. A 56, 1613 (1997).
[CrossRef]

J. Arlt, K. Dholakia, J. Sonesen, and E. M. Wright, Phys. Rev. A 63, 063602 (2001).
[CrossRef]

Phys. Rev. Lett. (1)

J. Durnin, J. J. Miceli, and J. H. Eberly, Phys. Rev. Lett. 58, 1499 (1987).
[CrossRef] [PubMed]

Science (1)

M. P. MacDonald, L. Paterson, K. Volke-Sepulveda, J. Arlt, W. Sibbett, and K. Dholakia, Science 296, 1101 (2002).
[CrossRef] [PubMed]

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Figures (4)

Fig. 1
Fig. 1

Column a, propagation of two interfering LG beams (l=2 and l=-2). w0=0.1 mm. The planes (boxes) are 4 cm apart. Column b, interference between l=1 and l=-1 LG beams passed through an axicon. Here w0=0.6 mm. The first image is calculated immediately behind the axicon. Column c, l=2 and l=-2 interferogram passed through an axicon, similarly to b.

Fig. 2
Fig. 2

Propagation of an obstructed interfering Bessel beam. The first box in the top row shows the original Bessel beam, and the second box shows the same beam with an obstruction panel placed in the center of the beam. The spots in the first box are 200 µm in diameter. Subsequent boxes show how the beam propagates after the obstruction, with each box showing the beam 4 mm further on than in the previous box. The beam is shown to reform in the last box in the bottom row.

Fig. 3
Fig. 3

Rotation of a single 2µm-diameter silica sphere in the interference pattern. The pattern is rotated by the rotatable glass slide placed in one arm of the interferometer.

Fig. 4
Fig. 4

Reconstruction of blocked interferogram. a, beam before it is blocked; b, beam blocked with a large birefringent particle; c, d, subsequent distortion and reconstruction of the beam.

Equations (3)

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Ir,z,ϕ=Jl1kr1r2+Jl2kr2r2+2AJl1kr1rJl2kr2r×coskz0-kz1z+θ,
clr,ϕ,z=a02πkrw0zzmaxl+1/2 exp-z2zmax2×exp[i(lϕ-lπ2-π4]Jlkrr.
Ir,ϕ,z=4πal2krw0z/zmax2l+1×exp-2z2/zmax2Jl2krr×1+cos2lϕ+Δ,

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