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.

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References

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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, 154 (2001).
    [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. 7, 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. Gl"uckstad, "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, Science 292, 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]

Other (21)

O. Bryngdahl, "Geometrical transformations in optics," J. Opt. Soc. Am. 64, 1092 (1974).
[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]

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]

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

G. Molina-Terriza and L. Torner, "Reconfigurable dynamic beam shaping in seeded frequency doubling," Opt. Lett. 26, 154 (2001).
[CrossRef]

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

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

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

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

N. R. Heckenberg, R. McDuff, C. P. Smith, and A. G. White, "Generation of optical phase singularities by computer-generated holograms," Opt. Lett. 7, 221 (1992).

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]

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]

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

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

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

L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbett, P. E. Bryant, and K. Dholakia, Science 292, 912 (2001).
[CrossRef] [PubMed]

S. Maruo, O. Nakamura, and S. Kawata, "Three-dimensional microfabrication with two-photon-absorbed photopolymerization," Opt. Lett. 22, 132 (1997).
[CrossRef] [PubMed]

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

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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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