Abstract

We report the experimental demonstration of a method that allows the simultaneous frequency-doubling and the shaping of a light beam into a variety of patterns. The technique is based on the controllable generation of multiple-vortex patterns in seeded schemes. Our observations were performed under conditions of second-harmonic generation pumped by picosecond pulses at 1055 nm, but the scheme can be extended to all parametric processes.

© 2001 Optical Society of America

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  1. O. Bryngdahl, “Geometrical transformations in optics,” J. Opt. Soc. Am. 64, 1092 (1974).
    [CrossRef]
  2. E. Abramochkin and V. Volostnikov, “Spiral-type beams: optical and quantum aspects,” Opt. Commun. 125, 302 (1996).
    [CrossRef]
  3. I. Gur and D. Mendlovic, “Diffraction limited somain flat-top generator,” Opt. Commun. 145, 237 (1998).
    [CrossRef]
  4. E. G. Churin, “Diffraction limited laser beam shaping by use of computer-generated holograms with dislocations,” Opt. Lett. 24, 620 (1999).
    [CrossRef]
  5. I. Freund, “Critical point exploions in two-dimensional wave fields,” Opt. Commun. 159, 99 (1999).
    [CrossRef]
  6. I. Freund, “Optical vortex trajectories,” Opt. Commun. 181, 19 (2000).
    [CrossRef]
  7. G. Molina-Terriza and L. Torner, “Reconfigurable dynamic beam shaping in seeded frequency doubling,” Opt. Lett.,  26, 1542001).
    [CrossRef]
  8. A. Ashkin, “Optical Trapping and Manipulation of Neutral Particles Using Lasers,” Opt. Photon. News 10(5), 41 (1999).
    [CrossRef]
  9. M. J. Padgett and L. Allen, “Light with a twist in its tail,” Contemp. Phys. 41(5), 275 (2000).
    [CrossRef]
  10. Yu. S. Kivshar and E. A. Ostrovskaya, “Optical vortices,” Opt. Photon. News 12(4), 27 (2001).
  11. V. Yu. Bazhenov, M. V. Vasnetsov, and M. S. Soskin, “Laser beams with screw dislocations in their wavefronts,” JETP Lett. 52, 429 (1990).
  12. N. R. Heckenberg, R. McDuff, C. P. Smith, and A. G. White, “Generation of optical phase singularities by computer-generated holograms,” Opt. Lett. 17, 221 (1992).
  13. I. V. Basistiy, V. Yu. Bazhenov, N. S. Soskin, and M. V. Vasnetsov, “Optics of light beams with screw dislocations,” Opt. Commun. 103, 422 (1993).
    [CrossRef]
  14. K. Dholakia, N. B. Simpson, M. J. Padgett, and L. Allen, “Second harmonic generation and the angular momentum of light,” Phys. Rev. A 54, 3742 (1996).
    [CrossRef]
  15. D. V. Petrov, G. Molina-Terriza, and L. Torner, “Vortex evolution in parametric wave mixing,” Opt. Commun. 162, 357 (1999).
    [CrossRef]
  16. G. Molina-Terriza and L. Torner, “Multicharged vortex evolution in seeded second-harmonic generation,” J. Opt. Soc. Am. B 17, 1197 (2000).
    [CrossRef]
  17. M. Reicherter, T. Haist, E. U. Wagemann, and H. J. Tiziani, “Optical particle trapping with computer-generated holograms written on a liquid-crystal display,” Opt. Lett. 24, 608 (1999).
    [CrossRef]
  18. P. C. Mogensen and J. Glückstad, “Dynamic array generation and pattern formation for optical tweezers,” Opt. Commun. 175, 75(2000).
    [CrossRef]
  19. L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbett, P. E. Bryant, and K. Dholakia, Science292, 912 (2001).
    [CrossRef] [PubMed]
  20. S. Maruo, O. Nakamura, and S. Kawata, “Three-dimensional microfabrication with two-photon-absorbed photopolymerization,” Opt. Lett. 22, 132 (1997).
    [CrossRef] [PubMed]
  21. P. Galajda and P. Ormos, “Complex micromachines produces and driven by light,” Appl. Phys. Lett. 78, 249 (2001).
    [CrossRef]

2001 (3)

G. Molina-Terriza and L. Torner, “Reconfigurable dynamic beam shaping in seeded frequency doubling,” Opt. Lett.,  26, 1542001).
[CrossRef]

Yu. S. Kivshar and E. A. Ostrovskaya, “Optical vortices,” Opt. Photon. News 12(4), 27 (2001).

P. Galajda and P. Ormos, “Complex micromachines produces and driven by light,” Appl. Phys. Lett. 78, 249 (2001).
[CrossRef]

2000 (4)

P. C. Mogensen and J. Glückstad, “Dynamic array generation and pattern formation for optical tweezers,” Opt. Commun. 175, 75(2000).
[CrossRef]

M. J. Padgett and L. Allen, “Light with a twist in its tail,” Contemp. Phys. 41(5), 275 (2000).
[CrossRef]

G. Molina-Terriza and L. Torner, “Multicharged vortex evolution in seeded second-harmonic generation,” J. Opt. Soc. Am. B 17, 1197 (2000).
[CrossRef]

I. Freund, “Optical vortex trajectories,” Opt. Commun. 181, 19 (2000).
[CrossRef]

1999 (5)

A. Ashkin, “Optical Trapping and Manipulation of Neutral Particles Using Lasers,” Opt. Photon. News 10(5), 41 (1999).
[CrossRef]

E. G. Churin, “Diffraction limited laser beam shaping by use of computer-generated holograms with dislocations,” Opt. Lett. 24, 620 (1999).
[CrossRef]

I. Freund, “Critical point exploions in two-dimensional wave fields,” Opt. Commun. 159, 99 (1999).
[CrossRef]

M. Reicherter, T. Haist, E. U. Wagemann, and H. J. Tiziani, “Optical particle trapping with computer-generated holograms written on a liquid-crystal display,” Opt. Lett. 24, 608 (1999).
[CrossRef]

D. V. Petrov, G. Molina-Terriza, and L. Torner, “Vortex evolution in parametric wave mixing,” Opt. Commun. 162, 357 (1999).
[CrossRef]

1998 (1)

I. Gur and D. Mendlovic, “Diffraction limited somain flat-top generator,” Opt. Commun. 145, 237 (1998).
[CrossRef]

1997 (1)

1996 (2)

E. Abramochkin and V. Volostnikov, “Spiral-type beams: optical and quantum aspects,” Opt. Commun. 125, 302 (1996).
[CrossRef]

K. Dholakia, N. B. Simpson, M. J. Padgett, and L. Allen, “Second harmonic generation and the angular momentum of light,” Phys. Rev. A 54, 3742 (1996).
[CrossRef]

1993 (1)

I. V. Basistiy, V. Yu. Bazhenov, N. S. Soskin, and M. V. Vasnetsov, “Optics of light beams with screw dislocations,” Opt. Commun. 103, 422 (1993).
[CrossRef]

1990 (1)

V. Yu. Bazhenov, M. V. Vasnetsov, and M. S. Soskin, “Laser beams with screw dislocations in their wavefronts,” JETP Lett. 52, 429 (1990).

1974 (1)

Abramochkin, E.

E. Abramochkin and V. Volostnikov, “Spiral-type beams: optical and quantum aspects,” Opt. Commun. 125, 302 (1996).
[CrossRef]

Allen, L.

M. J. Padgett and L. Allen, “Light with a twist in its tail,” Contemp. Phys. 41(5), 275 (2000).
[CrossRef]

K. Dholakia, N. B. Simpson, M. J. Padgett, and L. Allen, “Second harmonic generation and the angular momentum of light,” Phys. Rev. A 54, 3742 (1996).
[CrossRef]

Arlt, J.

L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbett, P. E. Bryant, and K. Dholakia, Science292, 912 (2001).
[CrossRef] [PubMed]

Ashkin, A.

A. Ashkin, “Optical Trapping and Manipulation of Neutral Particles Using Lasers,” Opt. Photon. News 10(5), 41 (1999).
[CrossRef]

Basistiy, I. V.

I. V. Basistiy, V. Yu. Bazhenov, N. S. Soskin, and M. V. Vasnetsov, “Optics of light beams with screw dislocations,” Opt. Commun. 103, 422 (1993).
[CrossRef]

Bazhenov, V. Yu.

I. V. Basistiy, V. Yu. Bazhenov, N. S. Soskin, and M. V. Vasnetsov, “Optics of light beams with screw dislocations,” Opt. Commun. 103, 422 (1993).
[CrossRef]

V. Yu. Bazhenov, M. V. Vasnetsov, and M. S. Soskin, “Laser beams with screw dislocations in their wavefronts,” JETP Lett. 52, 429 (1990).

Bryant, P. E.

L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbett, P. E. Bryant, and K. Dholakia, Science292, 912 (2001).
[CrossRef] [PubMed]

Bryngdahl, O.

Churin, E. G.

Dholakia, K.

K. Dholakia, N. B. Simpson, M. J. Padgett, and L. Allen, “Second harmonic generation and the angular momentum of light,” Phys. Rev. A 54, 3742 (1996).
[CrossRef]

L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbett, P. E. Bryant, and K. Dholakia, Science292, 912 (2001).
[CrossRef] [PubMed]

Freund, I.

I. Freund, “Optical vortex trajectories,” Opt. Commun. 181, 19 (2000).
[CrossRef]

I. Freund, “Critical point exploions in two-dimensional wave fields,” Opt. Commun. 159, 99 (1999).
[CrossRef]

Galajda, P.

P. Galajda and P. Ormos, “Complex micromachines produces and driven by light,” Appl. Phys. Lett. 78, 249 (2001).
[CrossRef]

Glückstad, J.

P. C. Mogensen and J. Glückstad, “Dynamic array generation and pattern formation for optical tweezers,” Opt. Commun. 175, 75(2000).
[CrossRef]

Gur, I.

I. Gur and D. Mendlovic, “Diffraction limited somain flat-top generator,” Opt. Commun. 145, 237 (1998).
[CrossRef]

Haist, T.

Heckenberg, N. R.

N. R. Heckenberg, R. McDuff, C. P. Smith, and A. G. White, “Generation of optical phase singularities by computer-generated holograms,” Opt. Lett. 17, 221 (1992).

Kawata, S.

Kivshar, Yu. S.

Yu. S. Kivshar and E. A. Ostrovskaya, “Optical vortices,” Opt. Photon. News 12(4), 27 (2001).

MacDonald, M. P.

L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbett, P. E. Bryant, and K. Dholakia, Science292, 912 (2001).
[CrossRef] [PubMed]

Maruo, S.

McDuff, R.

N. R. Heckenberg, R. McDuff, C. P. Smith, and A. G. White, “Generation of optical phase singularities by computer-generated holograms,” Opt. Lett. 17, 221 (1992).

Mendlovic, D.

I. Gur and D. Mendlovic, “Diffraction limited somain flat-top generator,” Opt. Commun. 145, 237 (1998).
[CrossRef]

Mogensen, P. C.

P. C. Mogensen and J. Glückstad, “Dynamic array generation and pattern formation for optical tweezers,” Opt. Commun. 175, 75(2000).
[CrossRef]

Molina-Terriza, G.

Nakamura, O.

Ormos, P.

P. Galajda and P. Ormos, “Complex micromachines produces and driven by light,” Appl. Phys. Lett. 78, 249 (2001).
[CrossRef]

Ostrovskaya, E. A.

Yu. S. Kivshar and E. A. Ostrovskaya, “Optical vortices,” Opt. Photon. News 12(4), 27 (2001).

Padgett, M. J.

M. J. Padgett and L. Allen, “Light with a twist in its tail,” Contemp. Phys. 41(5), 275 (2000).
[CrossRef]

K. Dholakia, N. B. Simpson, M. J. Padgett, and L. Allen, “Second harmonic generation and the angular momentum of light,” Phys. Rev. A 54, 3742 (1996).
[CrossRef]

Paterson, L.

L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbett, P. E. Bryant, and K. Dholakia, Science292, 912 (2001).
[CrossRef] [PubMed]

Petrov, D. V.

D. V. Petrov, G. Molina-Terriza, and L. Torner, “Vortex evolution in parametric wave mixing,” Opt. Commun. 162, 357 (1999).
[CrossRef]

Reicherter, M.

Sibbett, W.

L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbett, P. E. Bryant, and K. Dholakia, Science292, 912 (2001).
[CrossRef] [PubMed]

Simpson, N. B.

K. Dholakia, N. B. Simpson, M. J. Padgett, and L. Allen, “Second harmonic generation and the angular momentum of light,” Phys. Rev. A 54, 3742 (1996).
[CrossRef]

Smith, C. P.

N. R. Heckenberg, R. McDuff, C. P. Smith, and A. G. White, “Generation of optical phase singularities by computer-generated holograms,” Opt. Lett. 17, 221 (1992).

Soskin, M. S.

V. Yu. Bazhenov, M. V. Vasnetsov, and M. S. Soskin, “Laser beams with screw dislocations in their wavefronts,” JETP Lett. 52, 429 (1990).

Soskin, N. S.

I. V. Basistiy, V. Yu. Bazhenov, N. S. Soskin, and M. V. Vasnetsov, “Optics of light beams with screw dislocations,” Opt. Commun. 103, 422 (1993).
[CrossRef]

Tiziani, H. J.

Torner, L.

Vasnetsov, M. V.

I. V. Basistiy, V. Yu. Bazhenov, N. S. Soskin, and M. V. Vasnetsov, “Optics of light beams with screw dislocations,” Opt. Commun. 103, 422 (1993).
[CrossRef]

V. Yu. Bazhenov, M. V. Vasnetsov, and M. S. Soskin, “Laser beams with screw dislocations in their wavefronts,” JETP Lett. 52, 429 (1990).

Volostnikov, V.

E. Abramochkin and V. Volostnikov, “Spiral-type beams: optical and quantum aspects,” Opt. Commun. 125, 302 (1996).
[CrossRef]

Wagemann, E. U.

White, A. G.

N. R. Heckenberg, R. McDuff, C. P. Smith, and A. G. White, “Generation of optical phase singularities by computer-generated holograms,” Opt. Lett. 17, 221 (1992).

Appl. Phys. Lett. (1)

P. Galajda and P. Ormos, “Complex micromachines produces and driven by light,” Appl. Phys. Lett. 78, 249 (2001).
[CrossRef]

Contemp. Phys. (1)

M. J. Padgett and L. Allen, “Light with a twist in its tail,” Contemp. Phys. 41(5), 275 (2000).
[CrossRef]

J. Opt. Soc. Am. (1)

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

JETP Lett. (1)

V. Yu. Bazhenov, M. V. Vasnetsov, and M. S. Soskin, “Laser beams with screw dislocations in their wavefronts,” JETP Lett. 52, 429 (1990).

Opt. Commun. (7)

I. V. Basistiy, V. Yu. Bazhenov, N. S. Soskin, and M. V. Vasnetsov, “Optics of light beams with screw dislocations,” Opt. Commun. 103, 422 (1993).
[CrossRef]

E. Abramochkin and V. Volostnikov, “Spiral-type beams: optical and quantum aspects,” Opt. Commun. 125, 302 (1996).
[CrossRef]

I. Gur and D. Mendlovic, “Diffraction limited somain flat-top generator,” Opt. Commun. 145, 237 (1998).
[CrossRef]

I. Freund, “Critical point exploions in two-dimensional wave fields,” Opt. Commun. 159, 99 (1999).
[CrossRef]

I. Freund, “Optical vortex trajectories,” Opt. Commun. 181, 19 (2000).
[CrossRef]

P. C. Mogensen and J. Glückstad, “Dynamic array generation and pattern formation for optical tweezers,” Opt. Commun. 175, 75(2000).
[CrossRef]

D. V. Petrov, G. Molina-Terriza, and L. Torner, “Vortex evolution in parametric wave mixing,” Opt. Commun. 162, 357 (1999).
[CrossRef]

Opt. Lett. (4)

Opt. Photon. News (2)

Yu. S. Kivshar and E. A. Ostrovskaya, “Optical vortices,” Opt. Photon. News 12(4), 27 (2001).

A. Ashkin, “Optical Trapping and Manipulation of Neutral Particles Using Lasers,” Opt. Photon. News 10(5), 41 (1999).
[CrossRef]

Phys. Rev. A (1)

K. Dholakia, N. B. Simpson, M. J. Padgett, and L. Allen, “Second harmonic generation and the angular momentum of light,” Phys. Rev. A 54, 3742 (1996).
[CrossRef]

Other (2)

N. R. Heckenberg, R. McDuff, C. P. Smith, and A. G. White, “Generation of optical phase singularities by computer-generated holograms,” Opt. Lett. 17, 221 (1992).

L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbett, P. E. Bryant, and K. Dholakia, Science292, 912 (2001).
[CrossRef] [PubMed]

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Figures (3)

Fig. 1.
Fig. 1.

A sample of different geometries which can be obtained by mixing pump and seed beams with various combinations of topological charges. a) mFF =0, mSH =-2; b) mFF =0, mSH =-3; c) mFF =+1, mSH =-2; d) mFF =+1, mSH =-3. The overall power of FF and SH fields was kept in most cases in the range of kW in order to avoid FF depletion. The input diameters of the FF and SH ranged form 50 to 100 µm, depending on the topological charge nested in it. Zones displayed in white are the more intense.

Fig. 2.
Fig. 2.

Sketch of the theoretically predicted evolution of all vortices existing under conditions of Figure 1(b), for increasing intensity of the seed signal. Seed intensity increases form a) to d). Plus and minus labels stand for the location of the vortices existing in the light beam. When the seed intensity is very weak, there are no vortices, as in plot a).

Fig. 3.
Fig. 3.

Effect of the input relative power between FF and SH fields. In all cases mFF =0. Upper row: dFF =5 0µm FWHM, P FF =12 kW, mSH =-2, dSH =83 µm FWHM; left: P SH =1 kW, right: P SH =0.4 kW. Lower row: dFF =60 µm FWHM, mSH =-3, dSH =15 0µm FWHM, P SH =1.3 kW; left: P FF =1.1 kW, right: P FF =4.9 kW.

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