Abstract

The combined effects of diffraction and Poynting vector walk-off in second-harmonic generation with pump beams that contain screw phase dislocations is addressed for what is believed to be the first time. We predict the spontaneous nucleation of multiple vortex twins whose subsequent explosion can yield quasi-aligned patterns of single-charge vortices.

© 1999 Optical Society of America

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  1. J. F. Nye and M. V. Berry, Proc. R. Soc. London Ser. A 336, 165 (1974); A. Ashkin, J. M. Dziedzic, and T. Yamane, Nature 330, 769 (1987); M. Padgett and L. Allen, Phys. World 10(9), 35 (1997).
    [CrossRef] [PubMed]
  2. G. Indebetouw, J. Mod. Opt. 40, 73 (1993); B. Luther-Davies, J. Christou, V. Tikhonenko, and Y. S. Kivshar, J. Opt. Soc. Am. B 14, 3045 (1997); D. Rozas, C. T. Law, and G. A. Swartzlander, J. Opt. Soc. Am. B 14, 3055 (1997); Y. S. Kivshar and B. Luther-Davies, Phys. Rep. 298, 81 (1998).
    [CrossRef]
  3. T. Ackemann, E. Kriege, and W. Lange, Opt. Commun. 115, 339 (1995); A. V. Ilyenkov, A. I. Khiznyak, L. V. Kreminskaya, M. S. Soskin, and M. V. Vasnetsov, Appl. Phys. B 62, 471 (1996).
    [CrossRef]
  4. I. V. Basistiy, V. Y. Bazhenov, M. S. Soskin, and M. V. Vasnetsov, Opt. Commun. 103, 422 (1993).
    [CrossRef]
  5. J. Courtial, K. Dholakia, L. Allen, and M. J. Padgett, Phys. Rev. A 56, 4193 (1997).
    [CrossRef]
  6. A. Berzanskis, A. Matijosius, A. Piskarskas, V. Smilgevicius, and A. Stabinis, Opt. Commun. 140, 273 (1997); Opt. Commun. 150, 372 (1998).
    [CrossRef]
  7. D. V. Petrov and L. Torner, Phys. Rev. E 58, 7903 (1998).
    [CrossRef]
  8. P. D. Trapani, A. Berzanskis, S. Minardi, S. Sapone, and W. Chinaglia, Phys. Rev. Lett. 81, 5133 (1998).
    [CrossRef]
  9. I. Freund, Opt. Commun. 159, 99 (1999).
    [CrossRef]
  10. D. V. Petrov, G. Molina-Terriza, and L. Torner, Opt. Commun. 162, 357 (1999).
    [CrossRef]
  11. T. Frisch, Y. Pomeau, and S. Rica, Phys. Rev. Lett. 69, 1644 (1992).
    [CrossRef] [PubMed]
  12. K. Staliunas, Phys. Rev. A 48, 1573 (1992).
    [CrossRef]
  13. J. T. Malos, R. Dykstra, M. Vaupel, and C. O. Weiss, Opt. Lett. 22, 1056 (1997).
    [CrossRef] [PubMed]

1999 (2)

I. Freund, Opt. Commun. 159, 99 (1999).
[CrossRef]

D. V. Petrov, G. Molina-Terriza, and L. Torner, Opt. Commun. 162, 357 (1999).
[CrossRef]

1998 (2)

D. V. Petrov and L. Torner, Phys. Rev. E 58, 7903 (1998).
[CrossRef]

P. D. Trapani, A. Berzanskis, S. Minardi, S. Sapone, and W. Chinaglia, Phys. Rev. Lett. 81, 5133 (1998).
[CrossRef]

1997 (3)

J. Courtial, K. Dholakia, L. Allen, and M. J. Padgett, Phys. Rev. A 56, 4193 (1997).
[CrossRef]

A. Berzanskis, A. Matijosius, A. Piskarskas, V. Smilgevicius, and A. Stabinis, Opt. Commun. 140, 273 (1997); Opt. Commun. 150, 372 (1998).
[CrossRef]

J. T. Malos, R. Dykstra, M. Vaupel, and C. O. Weiss, Opt. Lett. 22, 1056 (1997).
[CrossRef] [PubMed]

1995 (1)

T. Ackemann, E. Kriege, and W. Lange, Opt. Commun. 115, 339 (1995); A. V. Ilyenkov, A. I. Khiznyak, L. V. Kreminskaya, M. S. Soskin, and M. V. Vasnetsov, Appl. Phys. B 62, 471 (1996).
[CrossRef]

1993 (2)

I. V. Basistiy, V. Y. Bazhenov, M. S. Soskin, and M. V. Vasnetsov, Opt. Commun. 103, 422 (1993).
[CrossRef]

G. Indebetouw, J. Mod. Opt. 40, 73 (1993); B. Luther-Davies, J. Christou, V. Tikhonenko, and Y. S. Kivshar, J. Opt. Soc. Am. B 14, 3045 (1997); D. Rozas, C. T. Law, and G. A. Swartzlander, J. Opt. Soc. Am. B 14, 3055 (1997); Y. S. Kivshar and B. Luther-Davies, Phys. Rep. 298, 81 (1998).
[CrossRef]

1992 (2)

T. Frisch, Y. Pomeau, and S. Rica, Phys. Rev. Lett. 69, 1644 (1992).
[CrossRef] [PubMed]

K. Staliunas, Phys. Rev. A 48, 1573 (1992).
[CrossRef]

1974 (1)

J. F. Nye and M. V. Berry, Proc. R. Soc. London Ser. A 336, 165 (1974); A. Ashkin, J. M. Dziedzic, and T. Yamane, Nature 330, 769 (1987); M. Padgett and L. Allen, Phys. World 10(9), 35 (1997).
[CrossRef] [PubMed]

Ackemann, T.

T. Ackemann, E. Kriege, and W. Lange, Opt. Commun. 115, 339 (1995); A. V. Ilyenkov, A. I. Khiznyak, L. V. Kreminskaya, M. S. Soskin, and M. V. Vasnetsov, Appl. Phys. B 62, 471 (1996).
[CrossRef]

Allen, L.

J. Courtial, K. Dholakia, L. Allen, and M. J. Padgett, Phys. Rev. A 56, 4193 (1997).
[CrossRef]

Basistiy, I. V.

I. V. Basistiy, V. Y. Bazhenov, M. S. Soskin, and M. V. Vasnetsov, Opt. Commun. 103, 422 (1993).
[CrossRef]

Bazhenov, V. Y.

I. V. Basistiy, V. Y. Bazhenov, M. S. Soskin, and M. V. Vasnetsov, Opt. Commun. 103, 422 (1993).
[CrossRef]

Berry, M. V.

J. F. Nye and M. V. Berry, Proc. R. Soc. London Ser. A 336, 165 (1974); A. Ashkin, J. M. Dziedzic, and T. Yamane, Nature 330, 769 (1987); M. Padgett and L. Allen, Phys. World 10(9), 35 (1997).
[CrossRef] [PubMed]

Berzanskis, A.

P. D. Trapani, A. Berzanskis, S. Minardi, S. Sapone, and W. Chinaglia, Phys. Rev. Lett. 81, 5133 (1998).
[CrossRef]

A. Berzanskis, A. Matijosius, A. Piskarskas, V. Smilgevicius, and A. Stabinis, Opt. Commun. 140, 273 (1997); Opt. Commun. 150, 372 (1998).
[CrossRef]

Chinaglia, W.

P. D. Trapani, A. Berzanskis, S. Minardi, S. Sapone, and W. Chinaglia, Phys. Rev. Lett. 81, 5133 (1998).
[CrossRef]

Courtial, J.

J. Courtial, K. Dholakia, L. Allen, and M. J. Padgett, Phys. Rev. A 56, 4193 (1997).
[CrossRef]

Dholakia, K.

J. Courtial, K. Dholakia, L. Allen, and M. J. Padgett, Phys. Rev. A 56, 4193 (1997).
[CrossRef]

Dykstra, R.

Freund, I.

I. Freund, Opt. Commun. 159, 99 (1999).
[CrossRef]

Frisch, T.

T. Frisch, Y. Pomeau, and S. Rica, Phys. Rev. Lett. 69, 1644 (1992).
[CrossRef] [PubMed]

Indebetouw, G.

G. Indebetouw, J. Mod. Opt. 40, 73 (1993); B. Luther-Davies, J. Christou, V. Tikhonenko, and Y. S. Kivshar, J. Opt. Soc. Am. B 14, 3045 (1997); D. Rozas, C. T. Law, and G. A. Swartzlander, J. Opt. Soc. Am. B 14, 3055 (1997); Y. S. Kivshar and B. Luther-Davies, Phys. Rep. 298, 81 (1998).
[CrossRef]

Kriege, E.

T. Ackemann, E. Kriege, and W. Lange, Opt. Commun. 115, 339 (1995); A. V. Ilyenkov, A. I. Khiznyak, L. V. Kreminskaya, M. S. Soskin, and M. V. Vasnetsov, Appl. Phys. B 62, 471 (1996).
[CrossRef]

Lange, W.

T. Ackemann, E. Kriege, and W. Lange, Opt. Commun. 115, 339 (1995); A. V. Ilyenkov, A. I. Khiznyak, L. V. Kreminskaya, M. S. Soskin, and M. V. Vasnetsov, Appl. Phys. B 62, 471 (1996).
[CrossRef]

Malos, J. T.

Matijosius, A.

A. Berzanskis, A. Matijosius, A. Piskarskas, V. Smilgevicius, and A. Stabinis, Opt. Commun. 140, 273 (1997); Opt. Commun. 150, 372 (1998).
[CrossRef]

Minardi, S.

P. D. Trapani, A. Berzanskis, S. Minardi, S. Sapone, and W. Chinaglia, Phys. Rev. Lett. 81, 5133 (1998).
[CrossRef]

Molina-Terriza, G.

D. V. Petrov, G. Molina-Terriza, and L. Torner, Opt. Commun. 162, 357 (1999).
[CrossRef]

Nye, J. F.

J. F. Nye and M. V. Berry, Proc. R. Soc. London Ser. A 336, 165 (1974); A. Ashkin, J. M. Dziedzic, and T. Yamane, Nature 330, 769 (1987); M. Padgett and L. Allen, Phys. World 10(9), 35 (1997).
[CrossRef] [PubMed]

Padgett, M. J.

J. Courtial, K. Dholakia, L. Allen, and M. J. Padgett, Phys. Rev. A 56, 4193 (1997).
[CrossRef]

Petrov, D. V.

D. V. Petrov, G. Molina-Terriza, and L. Torner, Opt. Commun. 162, 357 (1999).
[CrossRef]

D. V. Petrov and L. Torner, Phys. Rev. E 58, 7903 (1998).
[CrossRef]

Piskarskas, A.

A. Berzanskis, A. Matijosius, A. Piskarskas, V. Smilgevicius, and A. Stabinis, Opt. Commun. 140, 273 (1997); Opt. Commun. 150, 372 (1998).
[CrossRef]

Pomeau, Y.

T. Frisch, Y. Pomeau, and S. Rica, Phys. Rev. Lett. 69, 1644 (1992).
[CrossRef] [PubMed]

Rica, S.

T. Frisch, Y. Pomeau, and S. Rica, Phys. Rev. Lett. 69, 1644 (1992).
[CrossRef] [PubMed]

Sapone, S.

P. D. Trapani, A. Berzanskis, S. Minardi, S. Sapone, and W. Chinaglia, Phys. Rev. Lett. 81, 5133 (1998).
[CrossRef]

Smilgevicius, V.

A. Berzanskis, A. Matijosius, A. Piskarskas, V. Smilgevicius, and A. Stabinis, Opt. Commun. 140, 273 (1997); Opt. Commun. 150, 372 (1998).
[CrossRef]

Soskin, M. S.

I. V. Basistiy, V. Y. Bazhenov, M. S. Soskin, and M. V. Vasnetsov, Opt. Commun. 103, 422 (1993).
[CrossRef]

Stabinis, A.

A. Berzanskis, A. Matijosius, A. Piskarskas, V. Smilgevicius, and A. Stabinis, Opt. Commun. 140, 273 (1997); Opt. Commun. 150, 372 (1998).
[CrossRef]

Staliunas, K.

K. Staliunas, Phys. Rev. A 48, 1573 (1992).
[CrossRef]

Torner, L.

D. V. Petrov, G. Molina-Terriza, and L. Torner, Opt. Commun. 162, 357 (1999).
[CrossRef]

D. V. Petrov and L. Torner, Phys. Rev. E 58, 7903 (1998).
[CrossRef]

Trapani, P. D.

P. D. Trapani, A. Berzanskis, S. Minardi, S. Sapone, and W. Chinaglia, Phys. Rev. Lett. 81, 5133 (1998).
[CrossRef]

Vasnetsov, M. V.

I. V. Basistiy, V. Y. Bazhenov, M. S. Soskin, and M. V. Vasnetsov, Opt. Commun. 103, 422 (1993).
[CrossRef]

Vaupel, M.

Weiss, C. O.

J. Mod. Opt. (1)

G. Indebetouw, J. Mod. Opt. 40, 73 (1993); B. Luther-Davies, J. Christou, V. Tikhonenko, and Y. S. Kivshar, J. Opt. Soc. Am. B 14, 3045 (1997); D. Rozas, C. T. Law, and G. A. Swartzlander, J. Opt. Soc. Am. B 14, 3055 (1997); Y. S. Kivshar and B. Luther-Davies, Phys. Rep. 298, 81 (1998).
[CrossRef]

Opt. Commun. (5)

T. Ackemann, E. Kriege, and W. Lange, Opt. Commun. 115, 339 (1995); A. V. Ilyenkov, A. I. Khiznyak, L. V. Kreminskaya, M. S. Soskin, and M. V. Vasnetsov, Appl. Phys. B 62, 471 (1996).
[CrossRef]

I. V. Basistiy, V. Y. Bazhenov, M. S. Soskin, and M. V. Vasnetsov, Opt. Commun. 103, 422 (1993).
[CrossRef]

A. Berzanskis, A. Matijosius, A. Piskarskas, V. Smilgevicius, and A. Stabinis, Opt. Commun. 140, 273 (1997); Opt. Commun. 150, 372 (1998).
[CrossRef]

I. Freund, Opt. Commun. 159, 99 (1999).
[CrossRef]

D. V. Petrov, G. Molina-Terriza, and L. Torner, Opt. Commun. 162, 357 (1999).
[CrossRef]

Opt. Lett. (1)

Phys. Rev. A (2)

K. Staliunas, Phys. Rev. A 48, 1573 (1992).
[CrossRef]

J. Courtial, K. Dholakia, L. Allen, and M. J. Padgett, Phys. Rev. A 56, 4193 (1997).
[CrossRef]

Phys. Rev. E (1)

D. V. Petrov and L. Torner, Phys. Rev. E 58, 7903 (1998).
[CrossRef]

Phys. Rev. Lett. (2)

P. D. Trapani, A. Berzanskis, S. Minardi, S. Sapone, and W. Chinaglia, Phys. Rev. Lett. 81, 5133 (1998).
[CrossRef]

T. Frisch, Y. Pomeau, and S. Rica, Phys. Rev. Lett. 69, 1644 (1992).
[CrossRef] [PubMed]

Proc. R. Soc. London Ser. A (1)

J. F. Nye and M. V. Berry, Proc. R. Soc. London Ser. A 336, 165 (1974); A. Ashkin, J. M. Dziedzic, and T. Yamane, Nature 330, 769 (1987); M. Padgett and L. Allen, Phys. World 10(9), 35 (1997).
[CrossRef] [PubMed]

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