Abstract

We show what is believed to be the first coherent white-light optical vortices generated from supercontinuum that have the azimuthally varying phase structure consistent with a monochromatic Laguerre–Gaussian beam. Two methods of Laguerre–Gaussian supercontinuum generation are discussed and contrasted. We use a computer-generated hologram to convert a Gaussian white-light supercontinuum source into Laguerre–Gaussian supercontinuum.

© 2006 Optical Society of America

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References

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  1. L. Allen, M. J. Padgett, and M. Babiker, in Progress in Optics XXXIX, E.Wolf, ed. (Acamedic, 1999), pp. 291-372.
  2. A. Vazir, G. Weihs, and A. Zeilinger, J. Opt. B: Quantum Semiclassical Opt. 4, S47 (2002).
    [CrossRef]
  3. A. Mair, A. Vaziri, G. Weihs, and A. Zeiligner, Nature 412, 313 (2001).
    [CrossRef] [PubMed]
  4. L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, Phys. Rev. A 45, 8185 (1992).
    [CrossRef] [PubMed]
  5. G. Gibson, J. Courtial, M. Padgett, M. Vasnetsov, V. Pas'ko, S. Barnett, and S. Franke-Arnold, Opt. Express 12, 5448 (2004).
    [CrossRef] [PubMed]
  6. M. S. Soskin, P. V. Polyanskii, and O. O. Arkhelyuk, New J. Phys. 6, 196 (2004).
    [CrossRef]
  7. J. Leach and M. J. Padgett, New J. Phys. 5, 154 (2003).
    [CrossRef]
  8. R. R. Alfano and S. L. Shapiro, Phys. Rev. Lett. 24, 592 (1970).
    [CrossRef]
  9. R. R. Alfano, The Supercontinuum Laser Source, 2nd ed. (Springer, 2006).
    [CrossRef]
  10. J. M. Vaughan and D. V. Willetts, Opt. Commun. 30, 263 (1979).
    [CrossRef]
  11. N. R. Heckenberg, R. McDuff, C. P. Smith, and A. G. White, Opt. Lett. 17, 221 (1992).
    [CrossRef] [PubMed]
  12. N. R. Heckenberg, R. McDuff, C. P. Smith, H. Rubinsztein-Dunlop, and M. J. Wegener, Opt. Quantum Electron. 24, S951 (1992).
    [CrossRef]
  13. L. T. Vuong, T. D. Grow, A. Ishaaya, A. L. Gaeta, G. W. 't Hooft, E. R. Eliel, and G. Fibich, Phys. Rev. Lett. 96, 133901 (2006).
    [CrossRef] [PubMed]
  14. P. Fischer, C. Brown, J. Morris, C. Lopez-Mariscal, E. Wright, W. Sibbett, and K. Dholakia, Opt. Express 13, 6657 (2005).
    [CrossRef] [PubMed]

2006 (1)

L. T. Vuong, T. D. Grow, A. Ishaaya, A. L. Gaeta, G. W. 't Hooft, E. R. Eliel, and G. Fibich, Phys. Rev. Lett. 96, 133901 (2006).
[CrossRef] [PubMed]

2005 (1)

2004 (2)

2003 (1)

J. Leach and M. J. Padgett, New J. Phys. 5, 154 (2003).
[CrossRef]

2002 (1)

A. Vazir, G. Weihs, and A. Zeilinger, J. Opt. B: Quantum Semiclassical Opt. 4, S47 (2002).
[CrossRef]

2001 (1)

A. Mair, A. Vaziri, G. Weihs, and A. Zeiligner, Nature 412, 313 (2001).
[CrossRef] [PubMed]

1992 (3)

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, Phys. Rev. A 45, 8185 (1992).
[CrossRef] [PubMed]

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

N. R. Heckenberg, R. McDuff, C. P. Smith, H. Rubinsztein-Dunlop, and M. J. Wegener, Opt. Quantum Electron. 24, S951 (1992).
[CrossRef]

1979 (1)

J. M. Vaughan and D. V. Willetts, Opt. Commun. 30, 263 (1979).
[CrossRef]

1970 (1)

R. R. Alfano and S. L. Shapiro, Phys. Rev. Lett. 24, 592 (1970).
[CrossRef]

Alfano, R. R.

R. R. Alfano and S. L. Shapiro, Phys. Rev. Lett. 24, 592 (1970).
[CrossRef]

R. R. Alfano, The Supercontinuum Laser Source, 2nd ed. (Springer, 2006).
[CrossRef]

Allen, L.

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, Phys. Rev. A 45, 8185 (1992).
[CrossRef] [PubMed]

L. Allen, M. J. Padgett, and M. Babiker, in Progress in Optics XXXIX, E.Wolf, ed. (Acamedic, 1999), pp. 291-372.

Arkhelyuk, O. O.

M. S. Soskin, P. V. Polyanskii, and O. O. Arkhelyuk, New J. Phys. 6, 196 (2004).
[CrossRef]

Babiker, M.

L. Allen, M. J. Padgett, and M. Babiker, in Progress in Optics XXXIX, E.Wolf, ed. (Acamedic, 1999), pp. 291-372.

Barnett, S.

Beijersbergen, M. W.

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, Phys. Rev. A 45, 8185 (1992).
[CrossRef] [PubMed]

Brown, C.

Courtial, J.

Dholakia, K.

Eliel, E. R.

L. T. Vuong, T. D. Grow, A. Ishaaya, A. L. Gaeta, G. W. 't Hooft, E. R. Eliel, and G. Fibich, Phys. Rev. Lett. 96, 133901 (2006).
[CrossRef] [PubMed]

Fibich, G.

L. T. Vuong, T. D. Grow, A. Ishaaya, A. L. Gaeta, G. W. 't Hooft, E. R. Eliel, and G. Fibich, Phys. Rev. Lett. 96, 133901 (2006).
[CrossRef] [PubMed]

Fischer, P.

Franke-Arnold, S.

Gaeta, A. L.

L. T. Vuong, T. D. Grow, A. Ishaaya, A. L. Gaeta, G. W. 't Hooft, E. R. Eliel, and G. Fibich, Phys. Rev. Lett. 96, 133901 (2006).
[CrossRef] [PubMed]

Gibson, G.

Grow, T. D.

L. T. Vuong, T. D. Grow, A. Ishaaya, A. L. Gaeta, G. W. 't Hooft, E. R. Eliel, and G. Fibich, Phys. Rev. Lett. 96, 133901 (2006).
[CrossRef] [PubMed]

Heckenberg, N. R.

N. R. Heckenberg, R. McDuff, C. P. Smith, H. Rubinsztein-Dunlop, and M. J. Wegener, Opt. Quantum Electron. 24, S951 (1992).
[CrossRef]

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

Ishaaya, A.

L. T. Vuong, T. D. Grow, A. Ishaaya, A. L. Gaeta, G. W. 't Hooft, E. R. Eliel, and G. Fibich, Phys. Rev. Lett. 96, 133901 (2006).
[CrossRef] [PubMed]

Leach, J.

J. Leach and M. J. Padgett, New J. Phys. 5, 154 (2003).
[CrossRef]

Lopez-Mariscal, C.

Mair, A.

A. Mair, A. Vaziri, G. Weihs, and A. Zeiligner, Nature 412, 313 (2001).
[CrossRef] [PubMed]

McDuff, R.

N. R. Heckenberg, R. McDuff, C. P. Smith, H. Rubinsztein-Dunlop, and M. J. Wegener, Opt. Quantum Electron. 24, S951 (1992).
[CrossRef]

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

Morris, J.

Padgett, M.

Padgett, M. J.

J. Leach and M. J. Padgett, New J. Phys. 5, 154 (2003).
[CrossRef]

L. Allen, M. J. Padgett, and M. Babiker, in Progress in Optics XXXIX, E.Wolf, ed. (Acamedic, 1999), pp. 291-372.

Pas'ko, V.

Polyanskii, P. V.

M. S. Soskin, P. V. Polyanskii, and O. O. Arkhelyuk, New J. Phys. 6, 196 (2004).
[CrossRef]

Rubinsztein-Dunlop, H.

N. R. Heckenberg, R. McDuff, C. P. Smith, H. Rubinsztein-Dunlop, and M. J. Wegener, Opt. Quantum Electron. 24, S951 (1992).
[CrossRef]

Shapiro, S. L.

R. R. Alfano and S. L. Shapiro, Phys. Rev. Lett. 24, 592 (1970).
[CrossRef]

Sibbett, W.

Smith, C. P.

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

N. R. Heckenberg, R. McDuff, C. P. Smith, H. Rubinsztein-Dunlop, and M. J. Wegener, Opt. Quantum Electron. 24, S951 (1992).
[CrossRef]

Soskin, M. S.

M. S. Soskin, P. V. Polyanskii, and O. O. Arkhelyuk, New J. Phys. 6, 196 (2004).
[CrossRef]

Spreeuw, R. J. C.

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, Phys. Rev. A 45, 8185 (1992).
[CrossRef] [PubMed]

't Hooft, G. W.

L. T. Vuong, T. D. Grow, A. Ishaaya, A. L. Gaeta, G. W. 't Hooft, E. R. Eliel, and G. Fibich, Phys. Rev. Lett. 96, 133901 (2006).
[CrossRef] [PubMed]

Vasnetsov, M.

Vaughan, J. M.

J. M. Vaughan and D. V. Willetts, Opt. Commun. 30, 263 (1979).
[CrossRef]

Vazir, A.

A. Vazir, G. Weihs, and A. Zeilinger, J. Opt. B: Quantum Semiclassical Opt. 4, S47 (2002).
[CrossRef]

Vaziri, A.

A. Mair, A. Vaziri, G. Weihs, and A. Zeiligner, Nature 412, 313 (2001).
[CrossRef] [PubMed]

Vuong, L. T.

L. T. Vuong, T. D. Grow, A. Ishaaya, A. L. Gaeta, G. W. 't Hooft, E. R. Eliel, and G. Fibich, Phys. Rev. Lett. 96, 133901 (2006).
[CrossRef] [PubMed]

Wegener, M. J.

N. R. Heckenberg, R. McDuff, C. P. Smith, H. Rubinsztein-Dunlop, and M. J. Wegener, Opt. Quantum Electron. 24, S951 (1992).
[CrossRef]

Weihs, G.

A. Vazir, G. Weihs, and A. Zeilinger, J. Opt. B: Quantum Semiclassical Opt. 4, S47 (2002).
[CrossRef]

A. Mair, A. Vaziri, G. Weihs, and A. Zeiligner, Nature 412, 313 (2001).
[CrossRef] [PubMed]

White, A. G.

Willetts, D. V.

J. M. Vaughan and D. V. Willetts, Opt. Commun. 30, 263 (1979).
[CrossRef]

Woerdman, J. P.

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, Phys. Rev. A 45, 8185 (1992).
[CrossRef] [PubMed]

Wright, E.

Zeiligner, A.

A. Mair, A. Vaziri, G. Weihs, and A. Zeiligner, Nature 412, 313 (2001).
[CrossRef] [PubMed]

Zeilinger, A.

A. Vazir, G. Weihs, and A. Zeilinger, J. Opt. B: Quantum Semiclassical Opt. 4, S47 (2002).
[CrossRef]

J. Opt. B: Quantum Semiclassical Opt. (1)

A. Vazir, G. Weihs, and A. Zeilinger, J. Opt. B: Quantum Semiclassical Opt. 4, S47 (2002).
[CrossRef]

Nature (1)

A. Mair, A. Vaziri, G. Weihs, and A. Zeiligner, Nature 412, 313 (2001).
[CrossRef] [PubMed]

New J. Phys. (2)

M. S. Soskin, P. V. Polyanskii, and O. O. Arkhelyuk, New J. Phys. 6, 196 (2004).
[CrossRef]

J. Leach and M. J. Padgett, New J. Phys. 5, 154 (2003).
[CrossRef]

Opt. Commun. (1)

J. M. Vaughan and D. V. Willetts, Opt. Commun. 30, 263 (1979).
[CrossRef]

Opt. Express (2)

Opt. Lett. (1)

Opt. Quantum Electron. (1)

N. R. Heckenberg, R. McDuff, C. P. Smith, H. Rubinsztein-Dunlop, and M. J. Wegener, Opt. Quantum Electron. 24, S951 (1992).
[CrossRef]

Phys. Rev. A (1)

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, Phys. Rev. A 45, 8185 (1992).
[CrossRef] [PubMed]

Phys. Rev. Lett. (2)

R. R. Alfano and S. L. Shapiro, Phys. Rev. Lett. 24, 592 (1970).
[CrossRef]

L. T. Vuong, T. D. Grow, A. Ishaaya, A. L. Gaeta, G. W. 't Hooft, E. R. Eliel, and G. Fibich, Phys. Rev. Lett. 96, 133901 (2006).
[CrossRef] [PubMed]

Other (2)

R. R. Alfano, The Supercontinuum Laser Source, 2nd ed. (Springer, 2006).
[CrossRef]

L. Allen, M. J. Padgett, and M. Babiker, in Progress in Optics XXXIX, E.Wolf, ed. (Acamedic, 1999), pp. 291-372.

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Figures (4)

Fig. 1
Fig. 1

Experimental setup used to generate LG supercontinuum: A, aperture; L1, 5 cm lens; L2, 10 cm lens; F, short-pass filter with the edge at 700 nm ; BS, beam splitter; FP, fiber probe; SLM, spatial light modulator. An example of a CGH used is shown.

Fig. 2
Fig. 2

Black and white CCD image of the intensity structure of (a) l = 0 , (b) l = + 1 , (c) l = + 2 LG beams and (d) interference that shows the azimuthal phase structure of the beam shown in (b). The white arrow shows the phase difference of π across the diameter of the beam.

Fig. 3
Fig. 3

Anti-Stokes spectrum of Gaussian supercontinuum (blue squares) and short-pass filter used to block pump beam (red circles).

Fig. 4
Fig. 4

Anti-Stokes spectrum of LG supercontinuum (blue squares) and short-pass filter used to block pump beam (red circles).

Equations (1)

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u ( r , ϕ , z ) p , l r l L p l ( 2 r 2 w 2 ) exp ( r 2 w 2 ) exp ( i l ϕ ) ,

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