Abstract

We report the creation of white-light, achromatic Bessel beams using a spatial light modulator and a prism to compensate for the dispersion. Unlike the Bessel beam created by a refractive axicon, this achromatic beam has a radial wavevector and hence an intensity cross-section which is independent of wavelength. The technique also lends itself to the generation of higher order Bessel beams with an on-axis optical vortex and associated orbital angular momentum.

© 2006 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. D. G. Grier, "A revolution in optical manipulation," Nature 424, 810-816 (2003).
    [CrossRef] [PubMed]
  2. Leach, M. R. Dennis, J. Courtial, and M. J. Padgett, "Knotted threads of darkness," Nature 432,165 (2004).
    [CrossRef] [PubMed]
  3. L. Allen, M. J. Padgett, and M. Babiker, "The orbital angular momentum of light," Progress in Opt. 39, 291-372 (1999).
    [CrossRef]
  4. M. W. Beijersbergen, R. P.C. Coerwinkel, M. Kristensen, and J. P. Woerdman, "Helical-wavefront laser beams produced with a spiral phaseplate," Opt. Commun. 112, 321-327 (1994).
    [CrossRef]
  5. G. A. Turnbull, D. A. Robertson, G. M. Smith, L. Allen, and M. J. Padgett, "The generation of free-space Laguerre-Gaussian modes at millimetre-wave frequencies by use of a spiral phaseplate," Opt. Commun. 127, 183-188 (1996).
    [CrossRef]
  6. M. V. Berry, "Optical vortices evolving from helicoidal integer and fractional phase steps," J. Opt. A: Pure Appl. Opt. 6, 259-268 (2004).
    [CrossRef]
  7. J. Leach, E. Yao, and M. J. Padgett, "Observation of the vortex structure of a non-integer vortex beam," New J. Phys. 6, 71-78 (2004).
    [CrossRef]
  8. J. Durnin, J. J. Miceli, and J. H. Eberly, "Diffraction-free beams," Phys. Rev. Lett. 58,1499-1501 (1987).
    [CrossRef] [PubMed]
  9. J. Arlt, V. Garces-Chavez, W. Sibbett, and K. Dholakia, "Optical micromanipulation using a Bessel light beam," Opt. Commun. 197, 239-245 (2000).
    [CrossRef]
  10. M. Fortin, M. Piché, and E. Borra, "Optical tests with Bessel beam interferometry," Opt. Express 12, 5887-5895 (2004).
    [CrossRef] [PubMed]
  11. P. Fischer, C. Brown, J. Morris, C. López-Mariscal, E. Wright, W. Sibbett, and K. Dholakia, "White light propagation invariant beams," Opt. Express 13, 6657-6666 (2005).
    [CrossRef] [PubMed]
  12. J. Leach and M. J. Padgett, "Observation of chromatic effects near a white light vortex," New J. Phys. 5, 1-7 (2003).
    [CrossRef]
  13. I. Mariyenko, J. Strohaber, and C. Uiterwaal, "Creation of optical vortices in femtosecond pulses," Opt. Express 13, 7599-7608 (2005).
    [CrossRef] [PubMed]
  14. J. C. Knight, "Photonic crystal fibres," Nature 424, 847-851 (2003).
    [CrossRef] [PubMed]
  15. J. Arlt and K. Dholakia, "Generation of high-order Bessel beams by use of an axicon," Opt. Commun. 177, 1-6 (2000).
    [CrossRef]

2005

2004

M. Fortin, M. Piché, and E. Borra, "Optical tests with Bessel beam interferometry," Opt. Express 12, 5887-5895 (2004).
[CrossRef] [PubMed]

Leach, M. R. Dennis, J. Courtial, and M. J. Padgett, "Knotted threads of darkness," Nature 432,165 (2004).
[CrossRef] [PubMed]

M. V. Berry, "Optical vortices evolving from helicoidal integer and fractional phase steps," J. Opt. A: Pure Appl. Opt. 6, 259-268 (2004).
[CrossRef]

J. Leach, E. Yao, and M. J. Padgett, "Observation of the vortex structure of a non-integer vortex beam," New J. Phys. 6, 71-78 (2004).
[CrossRef]

2003

J. Leach and M. J. Padgett, "Observation of chromatic effects near a white light vortex," New J. Phys. 5, 1-7 (2003).
[CrossRef]

J. C. Knight, "Photonic crystal fibres," Nature 424, 847-851 (2003).
[CrossRef] [PubMed]

D. G. Grier, "A revolution in optical manipulation," Nature 424, 810-816 (2003).
[CrossRef] [PubMed]

2000

J. Arlt and K. Dholakia, "Generation of high-order Bessel beams by use of an axicon," Opt. Commun. 177, 1-6 (2000).
[CrossRef]

J. Arlt, V. Garces-Chavez, W. Sibbett, and K. Dholakia, "Optical micromanipulation using a Bessel light beam," Opt. Commun. 197, 239-245 (2000).
[CrossRef]

1996

G. A. Turnbull, D. A. Robertson, G. M. Smith, L. Allen, and M. J. Padgett, "The generation of free-space Laguerre-Gaussian modes at millimetre-wave frequencies by use of a spiral phaseplate," Opt. Commun. 127, 183-188 (1996).
[CrossRef]

1994

M. W. Beijersbergen, R. P.C. Coerwinkel, M. Kristensen, and J. P. Woerdman, "Helical-wavefront laser beams produced with a spiral phaseplate," Opt. Commun. 112, 321-327 (1994).
[CrossRef]

1987

J. Durnin, J. J. Miceli, and J. H. Eberly, "Diffraction-free beams," Phys. Rev. Lett. 58,1499-1501 (1987).
[CrossRef] [PubMed]

Allen, L.

G. A. Turnbull, D. A. Robertson, G. M. Smith, L. Allen, and M. J. Padgett, "The generation of free-space Laguerre-Gaussian modes at millimetre-wave frequencies by use of a spiral phaseplate," Opt. Commun. 127, 183-188 (1996).
[CrossRef]

Arlt, J.

J. Arlt, V. Garces-Chavez, W. Sibbett, and K. Dholakia, "Optical micromanipulation using a Bessel light beam," Opt. Commun. 197, 239-245 (2000).
[CrossRef]

J. Arlt and K. Dholakia, "Generation of high-order Bessel beams by use of an axicon," Opt. Commun. 177, 1-6 (2000).
[CrossRef]

Beijersbergen, M. W.

M. W. Beijersbergen, R. P.C. Coerwinkel, M. Kristensen, and J. P. Woerdman, "Helical-wavefront laser beams produced with a spiral phaseplate," Opt. Commun. 112, 321-327 (1994).
[CrossRef]

Berry, M. V.

M. V. Berry, "Optical vortices evolving from helicoidal integer and fractional phase steps," J. Opt. A: Pure Appl. Opt. 6, 259-268 (2004).
[CrossRef]

Borra, E.

Brown, C.

Coerwinkel, R. P.C.

M. W. Beijersbergen, R. P.C. Coerwinkel, M. Kristensen, and J. P. Woerdman, "Helical-wavefront laser beams produced with a spiral phaseplate," Opt. Commun. 112, 321-327 (1994).
[CrossRef]

Dholakia, K.

P. Fischer, C. Brown, J. Morris, C. López-Mariscal, E. Wright, W. Sibbett, and K. Dholakia, "White light propagation invariant beams," Opt. Express 13, 6657-6666 (2005).
[CrossRef] [PubMed]

J. Arlt and K. Dholakia, "Generation of high-order Bessel beams by use of an axicon," Opt. Commun. 177, 1-6 (2000).
[CrossRef]

J. Arlt, V. Garces-Chavez, W. Sibbett, and K. Dholakia, "Optical micromanipulation using a Bessel light beam," Opt. Commun. 197, 239-245 (2000).
[CrossRef]

Durnin, J.

J. Durnin, J. J. Miceli, and J. H. Eberly, "Diffraction-free beams," Phys. Rev. Lett. 58,1499-1501 (1987).
[CrossRef] [PubMed]

Eberly, J. H.

J. Durnin, J. J. Miceli, and J. H. Eberly, "Diffraction-free beams," Phys. Rev. Lett. 58,1499-1501 (1987).
[CrossRef] [PubMed]

Fischer, P.

Fortin, M.

Garces-Chavez, V.

J. Arlt, V. Garces-Chavez, W. Sibbett, and K. Dholakia, "Optical micromanipulation using a Bessel light beam," Opt. Commun. 197, 239-245 (2000).
[CrossRef]

Grier, D. G.

D. G. Grier, "A revolution in optical manipulation," Nature 424, 810-816 (2003).
[CrossRef] [PubMed]

Knight, J. C.

J. C. Knight, "Photonic crystal fibres," Nature 424, 847-851 (2003).
[CrossRef] [PubMed]

Kristensen, M.

M. W. Beijersbergen, R. P.C. Coerwinkel, M. Kristensen, and J. P. Woerdman, "Helical-wavefront laser beams produced with a spiral phaseplate," Opt. Commun. 112, 321-327 (1994).
[CrossRef]

Leach,

Leach, M. R. Dennis, J. Courtial, and M. J. Padgett, "Knotted threads of darkness," Nature 432,165 (2004).
[CrossRef] [PubMed]

Leach, J.

J. Leach, E. Yao, and M. J. Padgett, "Observation of the vortex structure of a non-integer vortex beam," New J. Phys. 6, 71-78 (2004).
[CrossRef]

J. Leach and M. J. Padgett, "Observation of chromatic effects near a white light vortex," New J. Phys. 5, 1-7 (2003).
[CrossRef]

López-Mariscal, C.

Miceli, J. J.

J. Durnin, J. J. Miceli, and J. H. Eberly, "Diffraction-free beams," Phys. Rev. Lett. 58,1499-1501 (1987).
[CrossRef] [PubMed]

Morris, J.

Padgett, M. J.

J. Leach, E. Yao, and M. J. Padgett, "Observation of the vortex structure of a non-integer vortex beam," New J. Phys. 6, 71-78 (2004).
[CrossRef]

J. Leach and M. J. Padgett, "Observation of chromatic effects near a white light vortex," New J. Phys. 5, 1-7 (2003).
[CrossRef]

G. A. Turnbull, D. A. Robertson, G. M. Smith, L. Allen, and M. J. Padgett, "The generation of free-space Laguerre-Gaussian modes at millimetre-wave frequencies by use of a spiral phaseplate," Opt. Commun. 127, 183-188 (1996).
[CrossRef]

Piché, M.

Robertson, D. A.

G. A. Turnbull, D. A. Robertson, G. M. Smith, L. Allen, and M. J. Padgett, "The generation of free-space Laguerre-Gaussian modes at millimetre-wave frequencies by use of a spiral phaseplate," Opt. Commun. 127, 183-188 (1996).
[CrossRef]

Sibbett, W.

P. Fischer, C. Brown, J. Morris, C. López-Mariscal, E. Wright, W. Sibbett, and K. Dholakia, "White light propagation invariant beams," Opt. Express 13, 6657-6666 (2005).
[CrossRef] [PubMed]

J. Arlt, V. Garces-Chavez, W. Sibbett, and K. Dholakia, "Optical micromanipulation using a Bessel light beam," Opt. Commun. 197, 239-245 (2000).
[CrossRef]

Smith, G. M.

G. A. Turnbull, D. A. Robertson, G. M. Smith, L. Allen, and M. J. Padgett, "The generation of free-space Laguerre-Gaussian modes at millimetre-wave frequencies by use of a spiral phaseplate," Opt. Commun. 127, 183-188 (1996).
[CrossRef]

Turnbull, G. A.

G. A. Turnbull, D. A. Robertson, G. M. Smith, L. Allen, and M. J. Padgett, "The generation of free-space Laguerre-Gaussian modes at millimetre-wave frequencies by use of a spiral phaseplate," Opt. Commun. 127, 183-188 (1996).
[CrossRef]

Woerdman, J. P.

M. W. Beijersbergen, R. P.C. Coerwinkel, M. Kristensen, and J. P. Woerdman, "Helical-wavefront laser beams produced with a spiral phaseplate," Opt. Commun. 112, 321-327 (1994).
[CrossRef]

Wright, E.

Yao, E.

J. Leach, E. Yao, and M. J. Padgett, "Observation of the vortex structure of a non-integer vortex beam," New J. Phys. 6, 71-78 (2004).
[CrossRef]

J. Opt. A: Pure Appl. Opt.

M. V. Berry, "Optical vortices evolving from helicoidal integer and fractional phase steps," J. Opt. A: Pure Appl. Opt. 6, 259-268 (2004).
[CrossRef]

Nature

D. G. Grier, "A revolution in optical manipulation," Nature 424, 810-816 (2003).
[CrossRef] [PubMed]

Leach, M. R. Dennis, J. Courtial, and M. J. Padgett, "Knotted threads of darkness," Nature 432,165 (2004).
[CrossRef] [PubMed]

J. C. Knight, "Photonic crystal fibres," Nature 424, 847-851 (2003).
[CrossRef] [PubMed]

New J. Phys.

J. Leach, E. Yao, and M. J. Padgett, "Observation of the vortex structure of a non-integer vortex beam," New J. Phys. 6, 71-78 (2004).
[CrossRef]

J. Leach and M. J. Padgett, "Observation of chromatic effects near a white light vortex," New J. Phys. 5, 1-7 (2003).
[CrossRef]

Opt. Commun.

J. Arlt, V. Garces-Chavez, W. Sibbett, and K. Dholakia, "Optical micromanipulation using a Bessel light beam," Opt. Commun. 197, 239-245 (2000).
[CrossRef]

M. W. Beijersbergen, R. P.C. Coerwinkel, M. Kristensen, and J. P. Woerdman, "Helical-wavefront laser beams produced with a spiral phaseplate," Opt. Commun. 112, 321-327 (1994).
[CrossRef]

G. A. Turnbull, D. A. Robertson, G. M. Smith, L. Allen, and M. J. Padgett, "The generation of free-space Laguerre-Gaussian modes at millimetre-wave frequencies by use of a spiral phaseplate," Opt. Commun. 127, 183-188 (1996).
[CrossRef]

J. Arlt and K. Dholakia, "Generation of high-order Bessel beams by use of an axicon," Opt. Commun. 177, 1-6 (2000).
[CrossRef]

Opt. Express

Phys. Rev. Lett.

J. Durnin, J. J. Miceli, and J. H. Eberly, "Diffraction-free beams," Phys. Rev. Lett. 58,1499-1501 (1987).
[CrossRef] [PubMed]

Other

L. Allen, M. J. Padgett, and M. Babiker, "The orbital angular momentum of light," Progress in Opt. 39, 291-372 (1999).
[CrossRef]

Supplementary Material (3)

» Media 1: MOV (744 KB)     
» Media 2: MOV (795 KB)     
» Media 3: MOV (934 KB)     

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (5)

Fig. 1.
Fig. 1.

The form of an off-axis phase hologram is obtained by the modulo 2π addition of the desired phase structure of the beam, φ(x, y) with that of a phase ramp with period Λ. a) shows the design of a Laguerre-Gaussian hologram where φ(θ)= (in this case l=1), b) shows the design for a Bessel beam hologram where φ(r)=βr and c) shows the combination of the two to create a Bessel beam carrying orbital angular momentum.

Fig. 2.
Fig. 2.

Spectra of the white-light supercontinuum measured using an Ocean Optics B.V. (Netherlands) spectrometer.

Fig. 3.
Fig. 3.

Schematic of the experimental setup.

Fig. 4.
Fig. 4.

A series of cross-sections of a white-light achromatic Bessel beam where a) l=0, b) l=1 and c) l=5, taken at various propagation distances from the prism. See accompanying movies, l=0.mov (744KB), l=1.mov (795KB) and l=5.mov (933KB).

5 5.
5 5.

Images of achromatic white-light Bessel beams taken at 20 cm from the prism (top) and the corresponding averages of several intensity line profiles across the Bessel beam, showing the overlap of the red, blue and green channels recorded on the CCD camera (bottom). a) l=0 Bessel beam, b) l=1 Bessel beam, and c) l=5 Bessel beam. The brightness has been boosted on the left-hand side of the images to show the extent of the outer rings.

Metrics