Abstract

A computer-generated hologram is used to form an optical beam with a localized intensity null at its focus. The beam is a superposition of two Laguerre–Gaussian modes that are phased so that they interfere destructively to give a beam focus that is surrounded in all directions by regions of higher intensity. Beams of this kind will have applications in the optical trapping of macroscopic objects or atoms; hence the term optical bottle beam.

© 2000 Optical Society of America

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References

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1999 (1)

R. Ozeri, L. Khaykovich, and N. Davidson, Phys. Rev. A 59, R1750 (1999).
[Crossref]

1998 (2)

J. Courtial, Opt. Commun. 151, 1 (1998).
[Crossref]

J. Arlt, K. Dholakia, L. Allen, and M. J. Padgett, J. Mod. Opt. 45, 1231 (1998).
[Crossref]

1997 (1)

1995 (1)

H. He, N. R. Heckenberg, and H. Rubinsztein-Dunlop, J. Mod. Opt. 42, 217 (1995).
[Crossref]

1993 (2)

E. Abramochkin and V. Volostnikov, Opt. Commun. 102, 336 (1993).
[Crossref]

M. W. Beijersbergen, L. Allen, H. E. L. O. Vanderveen, and J. P. Woerdman, Opt. Commun. 96, 123 (1993).
[Crossref]

1992 (1)

1990 (1)

1986 (1)

Abramochkin, E.

E. Abramochkin and V. Volostnikov, Opt. Commun. 102, 336 (1993).
[Crossref]

Allen, L.

J. Arlt, K. Dholakia, L. Allen, and M. J. Padgett, J. Mod. Opt. 45, 1231 (1998).
[Crossref]

M. W. Beijersbergen, L. Allen, H. E. L. O. Vanderveen, and J. P. Woerdman, Opt. Commun. 96, 123 (1993).
[Crossref]

Arlt, J.

J. Arlt, K. Dholakia, L. Allen, and M. J. Padgett, J. Mod. Opt. 45, 1231 (1998).
[Crossref]

Ashkin, A.

Beijersbergen, M. W.

M. W. Beijersbergen, L. Allen, H. E. L. O. Vanderveen, and J. P. Woerdman, Opt. Commun. 96, 123 (1993).
[Crossref]

Bjorkholm, J. E.

Chu, S.

Courtial, J.

J. Courtial, Opt. Commun. 151, 1 (1998).
[Crossref]

Davidson, N.

R. Ozeri, L. Khaykovich, and N. Davidson, Phys. Rev. A 59, R1750 (1999).
[Crossref]

Dholakia, K.

J. Arlt, K. Dholakia, L. Allen, and M. J. Padgett, J. Mod. Opt. 45, 1231 (1998).
[Crossref]

Dziedzic, J. M.

Gahagan, K. T.

He, H.

H. He, N. R. Heckenberg, and H. Rubinsztein-Dunlop, J. Mod. Opt. 42, 217 (1995).
[Crossref]

Heckenberg, N. R.

H. He, N. R. Heckenberg, and H. Rubinsztein-Dunlop, J. Mod. Opt. 42, 217 (1995).
[Crossref]

N. R. Heckenberg, R. McDuff, C. P. Smith, and A. G. White, Opt. Lett. 17, 221 (1992).
[Crossref]

Khaykovich, L.

R. Ozeri, L. Khaykovich, and N. Davidson, Phys. Rev. A 59, R1750 (1999).
[Crossref]

McDuff, R.

Ozeri, R.

R. Ozeri, L. Khaykovich, and N. Davidson, Phys. Rev. A 59, R1750 (1999).
[Crossref]

Padgett, M. J.

J. Arlt, K. Dholakia, L. Allen, and M. J. Padgett, J. Mod. Opt. 45, 1231 (1998).
[Crossref]

Rubinsztein-Dunlop, H.

H. He, N. R. Heckenberg, and H. Rubinsztein-Dunlop, J. Mod. Opt. 42, 217 (1995).
[Crossref]

Smith, C. P.

Swartzlander, G. A.

Tamm, C.

Vanderveen, H. E. L. O.

M. W. Beijersbergen, L. Allen, H. E. L. O. Vanderveen, and J. P. Woerdman, Opt. Commun. 96, 123 (1993).
[Crossref]

Volostnikov, V.

E. Abramochkin and V. Volostnikov, Opt. Commun. 102, 336 (1993).
[Crossref]

Weiss, C. O.

White, A. G.

Woerdman, J. P.

M. W. Beijersbergen, L. Allen, H. E. L. O. Vanderveen, and J. P. Woerdman, Opt. Commun. 96, 123 (1993).
[Crossref]

J. Mod. Opt. (2)

J. Arlt, K. Dholakia, L. Allen, and M. J. Padgett, J. Mod. Opt. 45, 1231 (1998).
[Crossref]

H. He, N. R. Heckenberg, and H. Rubinsztein-Dunlop, J. Mod. Opt. 42, 217 (1995).
[Crossref]

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

Opt. Commun. (3)

M. W. Beijersbergen, L. Allen, H. E. L. O. Vanderveen, and J. P. Woerdman, Opt. Commun. 96, 123 (1993).
[Crossref]

E. Abramochkin and V. Volostnikov, Opt. Commun. 102, 336 (1993).
[Crossref]

J. Courtial, Opt. Commun. 151, 1 (1998).
[Crossref]

Opt. Lett. (3)

Phys. Rev. A (1)

R. Ozeri, L. Khaykovich, and N. Davidson, Phys. Rev. A 59, R1750 (1999).
[Crossref]

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Figures (4)

Fig. 1
Fig. 1

Intensity cross section and profile of Laguerre–Gaussian modes with indices (a) l=0, p=0 and (b) l=0, p=2.

Fig. 2
Fig. 2

Intensity structure of the optical bottle beam, calculated through focus, with intensity profiles along (a) the propagation direction, (b) the direction of minimal intensity, and (c) the radial direction. Note that the horizontal scale of the intensity profiles depends on the degree of focusing, which in this case is f/2.8 optics.

Fig. 3
Fig. 3

Form of the amplitude hologram for the generation of an optical bottle beam calculated as the interference pattern between the superposition of two Laguerre–Gaussian modes with different Gouy phases and a fundamental Gaussian mode.

Fig. 4
Fig. 4

Calculated and experimentally observed intensity cross sections and corresponding beam profiles of the optical bottle beam in the vicinity of the beam focus.

Equations (2)

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uplr,ϕ,zexp-ikr2/2Rzexp-r2/wz2×exp-iΨzexp-ilϕr2/wzl×Lpl2r2/wz2,
Ψz=2p+l+1arctanz/zR.

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