Abstract

We report what is believed to be the first experimental demonstration of the azimuthal self-breaking of intense beams containing a vortex phase dislocation into sets of optical spatial solitons in a quadratic nonlinear material. The observations were performed in a KTP crystal.

© 1998 Optical Society of America

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Errata

Dmitri V. Petrov, Lluis Torner, Jordi Martorell, Ramon Vilaseca, Juan P. Torres, and Crina Cojocaru, "Observation of azimuthal modulation instability and formation of patterns of optical solitons in a quadratic crystal:?errata," Opt. Lett. 23, 1787-1787 (1998)
https://www.osapublishing.org/ol/abstract.cfm?uri=ol-23-22-1787

References

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  1. For reviews, see G. I. Stegeman, D. J. Hagan, and L. Torner, Opt. Quantum Electron. 28, 1691 (1996); L. Torner, in Beam Shaping and Control with Nonlinear Optics, F. Kajzar and R. Reinisch, eds. (Plenum, New York, 1998), pp. 229–258.
    [CrossRef]
  2. L. Torner and D. V. Petrov, Electron. Lett. 33, 608 (1997); D. V. Petrov and L. Torner, Opt. Quantum Electron. 29, 1037 (1997).
    [CrossRef]
  3. N. R. Heckenberg, R. McDuff, C. R. Smith, and A. G. White, Opt. Lett. 17, 221 (1992).
    [CrossRef]
  4. W. J. Firth and D. V. Skryabin, Phys. Rev. Lett. 79, 2450 (1997).
    [CrossRef]
  5. J. P. Torres, J. M. Soto-Crespo, L. Torner, and D. V. Petrov, J. Opt. Soc. Am. B 15, 625 (1998); Opt. Commun. 149, 77 (1998).
    [CrossRef]
  6. V. I. Kruglov, Yu. A. Logvin, and V. M. Volkov, J. Mod. Opt. 39, 2277 (1992); J. M. Soto-Crespo, E. M. Wright, and N. N. Akhmediev, Phys. Rev. A 45, 3168 (1992); N. N. Rozanov, in Progress in Optics, E. Wolf, ed. (Elsevier, Amsterdam, 1996), Vol. XXXV.
    [CrossRef] [PubMed]
  7. A. A. Kanashov and A. M. Rubenchik, Physica D 4, 121 (1981); S. Trillo and P. Ferro, Opt. Lett. 13, 438 (1995); A. DeRossi, S. Trillo, A. V. Buryak, R. A. Fuerst, D. M. Baboiu, B. Lawrence, W. E. Torruellas, G. I. Stegeman, S. Trillo, and S. Wabnitz, Phys. Rev. Lett. 78, 2756 (1997).
    [CrossRef]
  8. V. Tikhonenko, J. Christou, and B. Luther-Davies, J. Opt. Soc. Am. B 12, 2046 (1995).
    [CrossRef]
  9. W. E. Torruellas, Z. Wang, D. J. Hagan, E. W. Van Stryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, Phys. Rev. Lett. 74, 5036 (1995).
    [CrossRef] [PubMed]
  10. L. Torner, D. Mihalache, D. Mazilu, E. M. Wright, W. E. Torruellas, and G. I. Stegeman, Opt. Commun. 121, 149 (1995).
    [CrossRef]
  11. I. V. Basistiy, V. Yu. Bazhenov, M. S. Soskin, and M. V. Vasnetsov, Opt. Commun. 103, 422 (1993); K. Dholakia, N. B. Simpson, M. J. Padgett, and L. Allen, Phys. Rev. A 54, 3742 (1996); A. Berzanskis, A. Matjosius, A. Piskarskas, V. Smilgevicius, and A. Stabinis, Opt. Commun. 140, 273 (1997).
    [CrossRef]

1998 (1)

1997 (2)

L. Torner and D. V. Petrov, Electron. Lett. 33, 608 (1997); D. V. Petrov and L. Torner, Opt. Quantum Electron. 29, 1037 (1997).
[CrossRef]

W. J. Firth and D. V. Skryabin, Phys. Rev. Lett. 79, 2450 (1997).
[CrossRef]

1996 (1)

For reviews, see G. I. Stegeman, D. J. Hagan, and L. Torner, Opt. Quantum Electron. 28, 1691 (1996); L. Torner, in Beam Shaping and Control with Nonlinear Optics, F. Kajzar and R. Reinisch, eds. (Plenum, New York, 1998), pp. 229–258.
[CrossRef]

1995 (3)

V. Tikhonenko, J. Christou, and B. Luther-Davies, J. Opt. Soc. Am. B 12, 2046 (1995).
[CrossRef]

W. E. Torruellas, Z. Wang, D. J. Hagan, E. W. Van Stryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, Phys. Rev. Lett. 74, 5036 (1995).
[CrossRef] [PubMed]

L. Torner, D. Mihalache, D. Mazilu, E. M. Wright, W. E. Torruellas, and G. I. Stegeman, Opt. Commun. 121, 149 (1995).
[CrossRef]

1993 (1)

I. V. Basistiy, V. Yu. Bazhenov, M. S. Soskin, and M. V. Vasnetsov, Opt. Commun. 103, 422 (1993); K. Dholakia, N. B. Simpson, M. J. Padgett, and L. Allen, Phys. Rev. A 54, 3742 (1996); A. Berzanskis, A. Matjosius, A. Piskarskas, V. Smilgevicius, and A. Stabinis, Opt. Commun. 140, 273 (1997).
[CrossRef]

1992 (2)

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

V. I. Kruglov, Yu. A. Logvin, and V. M. Volkov, J. Mod. Opt. 39, 2277 (1992); J. M. Soto-Crespo, E. M. Wright, and N. N. Akhmediev, Phys. Rev. A 45, 3168 (1992); N. N. Rozanov, in Progress in Optics, E. Wolf, ed. (Elsevier, Amsterdam, 1996), Vol. XXXV.
[CrossRef] [PubMed]

1981 (1)

A. A. Kanashov and A. M. Rubenchik, Physica D 4, 121 (1981); S. Trillo and P. Ferro, Opt. Lett. 13, 438 (1995); A. DeRossi, S. Trillo, A. V. Buryak, R. A. Fuerst, D. M. Baboiu, B. Lawrence, W. E. Torruellas, G. I. Stegeman, S. Trillo, and S. Wabnitz, Phys. Rev. Lett. 78, 2756 (1997).
[CrossRef]

Basistiy, I. V.

I. V. Basistiy, V. Yu. Bazhenov, M. S. Soskin, and M. V. Vasnetsov, Opt. Commun. 103, 422 (1993); K. Dholakia, N. B. Simpson, M. J. Padgett, and L. Allen, Phys. Rev. A 54, 3742 (1996); A. Berzanskis, A. Matjosius, A. Piskarskas, V. Smilgevicius, and A. Stabinis, Opt. Commun. 140, 273 (1997).
[CrossRef]

Bazhenov, V. Yu.

I. V. Basistiy, V. Yu. Bazhenov, M. S. Soskin, and M. V. Vasnetsov, Opt. Commun. 103, 422 (1993); K. Dholakia, N. B. Simpson, M. J. Padgett, and L. Allen, Phys. Rev. A 54, 3742 (1996); A. Berzanskis, A. Matjosius, A. Piskarskas, V. Smilgevicius, and A. Stabinis, Opt. Commun. 140, 273 (1997).
[CrossRef]

Christou, J.

Firth, W. J.

W. J. Firth and D. V. Skryabin, Phys. Rev. Lett. 79, 2450 (1997).
[CrossRef]

Hagan, D. J.

For reviews, see G. I. Stegeman, D. J. Hagan, and L. Torner, Opt. Quantum Electron. 28, 1691 (1996); L. Torner, in Beam Shaping and Control with Nonlinear Optics, F. Kajzar and R. Reinisch, eds. (Plenum, New York, 1998), pp. 229–258.
[CrossRef]

W. E. Torruellas, Z. Wang, D. J. Hagan, E. W. Van Stryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, Phys. Rev. Lett. 74, 5036 (1995).
[CrossRef] [PubMed]

Heckenberg, N. R.

Kanashov, A. A.

A. A. Kanashov and A. M. Rubenchik, Physica D 4, 121 (1981); S. Trillo and P. Ferro, Opt. Lett. 13, 438 (1995); A. DeRossi, S. Trillo, A. V. Buryak, R. A. Fuerst, D. M. Baboiu, B. Lawrence, W. E. Torruellas, G. I. Stegeman, S. Trillo, and S. Wabnitz, Phys. Rev. Lett. 78, 2756 (1997).
[CrossRef]

Kruglov, V. I.

V. I. Kruglov, Yu. A. Logvin, and V. M. Volkov, J. Mod. Opt. 39, 2277 (1992); J. M. Soto-Crespo, E. M. Wright, and N. N. Akhmediev, Phys. Rev. A 45, 3168 (1992); N. N. Rozanov, in Progress in Optics, E. Wolf, ed. (Elsevier, Amsterdam, 1996), Vol. XXXV.
[CrossRef] [PubMed]

Logvin, Yu. A.

V. I. Kruglov, Yu. A. Logvin, and V. M. Volkov, J. Mod. Opt. 39, 2277 (1992); J. M. Soto-Crespo, E. M. Wright, and N. N. Akhmediev, Phys. Rev. A 45, 3168 (1992); N. N. Rozanov, in Progress in Optics, E. Wolf, ed. (Elsevier, Amsterdam, 1996), Vol. XXXV.
[CrossRef] [PubMed]

Luther-Davies, B.

Mazilu, D.

L. Torner, D. Mihalache, D. Mazilu, E. M. Wright, W. E. Torruellas, and G. I. Stegeman, Opt. Commun. 121, 149 (1995).
[CrossRef]

McDuff, R.

Menyuk, C. R.

W. E. Torruellas, Z. Wang, D. J. Hagan, E. W. Van Stryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, Phys. Rev. Lett. 74, 5036 (1995).
[CrossRef] [PubMed]

Mihalache, D.

L. Torner, D. Mihalache, D. Mazilu, E. M. Wright, W. E. Torruellas, and G. I. Stegeman, Opt. Commun. 121, 149 (1995).
[CrossRef]

Petrov, D. V.

J. P. Torres, J. M. Soto-Crespo, L. Torner, and D. V. Petrov, J. Opt. Soc. Am. B 15, 625 (1998); Opt. Commun. 149, 77 (1998).
[CrossRef]

L. Torner and D. V. Petrov, Electron. Lett. 33, 608 (1997); D. V. Petrov and L. Torner, Opt. Quantum Electron. 29, 1037 (1997).
[CrossRef]

Rubenchik, A. M.

A. A. Kanashov and A. M. Rubenchik, Physica D 4, 121 (1981); S. Trillo and P. Ferro, Opt. Lett. 13, 438 (1995); A. DeRossi, S. Trillo, A. V. Buryak, R. A. Fuerst, D. M. Baboiu, B. Lawrence, W. E. Torruellas, G. I. Stegeman, S. Trillo, and S. Wabnitz, Phys. Rev. Lett. 78, 2756 (1997).
[CrossRef]

Skryabin, D. V.

W. J. Firth and D. V. Skryabin, Phys. Rev. Lett. 79, 2450 (1997).
[CrossRef]

Smith, C. R.

Soskin, M. S.

I. V. Basistiy, V. Yu. Bazhenov, M. S. Soskin, and M. V. Vasnetsov, Opt. Commun. 103, 422 (1993); K. Dholakia, N. B. Simpson, M. J. Padgett, and L. Allen, Phys. Rev. A 54, 3742 (1996); A. Berzanskis, A. Matjosius, A. Piskarskas, V. Smilgevicius, and A. Stabinis, Opt. Commun. 140, 273 (1997).
[CrossRef]

Soto-Crespo, J. M.

Stegeman, G. I.

For reviews, see G. I. Stegeman, D. J. Hagan, and L. Torner, Opt. Quantum Electron. 28, 1691 (1996); L. Torner, in Beam Shaping and Control with Nonlinear Optics, F. Kajzar and R. Reinisch, eds. (Plenum, New York, 1998), pp. 229–258.
[CrossRef]

W. E. Torruellas, Z. Wang, D. J. Hagan, E. W. Van Stryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, Phys. Rev. Lett. 74, 5036 (1995).
[CrossRef] [PubMed]

L. Torner, D. Mihalache, D. Mazilu, E. M. Wright, W. E. Torruellas, and G. I. Stegeman, Opt. Commun. 121, 149 (1995).
[CrossRef]

Tikhonenko, V.

Torner, L.

J. P. Torres, J. M. Soto-Crespo, L. Torner, and D. V. Petrov, J. Opt. Soc. Am. B 15, 625 (1998); Opt. Commun. 149, 77 (1998).
[CrossRef]

L. Torner and D. V. Petrov, Electron. Lett. 33, 608 (1997); D. V. Petrov and L. Torner, Opt. Quantum Electron. 29, 1037 (1997).
[CrossRef]

For reviews, see G. I. Stegeman, D. J. Hagan, and L. Torner, Opt. Quantum Electron. 28, 1691 (1996); L. Torner, in Beam Shaping and Control with Nonlinear Optics, F. Kajzar and R. Reinisch, eds. (Plenum, New York, 1998), pp. 229–258.
[CrossRef]

W. E. Torruellas, Z. Wang, D. J. Hagan, E. W. Van Stryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, Phys. Rev. Lett. 74, 5036 (1995).
[CrossRef] [PubMed]

L. Torner, D. Mihalache, D. Mazilu, E. M. Wright, W. E. Torruellas, and G. I. Stegeman, Opt. Commun. 121, 149 (1995).
[CrossRef]

Torres, J. P.

Torruellas, W. E.

L. Torner, D. Mihalache, D. Mazilu, E. M. Wright, W. E. Torruellas, and G. I. Stegeman, Opt. Commun. 121, 149 (1995).
[CrossRef]

W. E. Torruellas, Z. Wang, D. J. Hagan, E. W. Van Stryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, Phys. Rev. Lett. 74, 5036 (1995).
[CrossRef] [PubMed]

Van Stryland, E. W.

W. E. Torruellas, Z. Wang, D. J. Hagan, E. W. Van Stryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, Phys. Rev. Lett. 74, 5036 (1995).
[CrossRef] [PubMed]

Vasnetsov, M. V.

I. V. Basistiy, V. Yu. Bazhenov, M. S. Soskin, and M. V. Vasnetsov, Opt. Commun. 103, 422 (1993); K. Dholakia, N. B. Simpson, M. J. Padgett, and L. Allen, Phys. Rev. A 54, 3742 (1996); A. Berzanskis, A. Matjosius, A. Piskarskas, V. Smilgevicius, and A. Stabinis, Opt. Commun. 140, 273 (1997).
[CrossRef]

Volkov, V. M.

V. I. Kruglov, Yu. A. Logvin, and V. M. Volkov, J. Mod. Opt. 39, 2277 (1992); J. M. Soto-Crespo, E. M. Wright, and N. N. Akhmediev, Phys. Rev. A 45, 3168 (1992); N. N. Rozanov, in Progress in Optics, E. Wolf, ed. (Elsevier, Amsterdam, 1996), Vol. XXXV.
[CrossRef] [PubMed]

Wang, Z.

W. E. Torruellas, Z. Wang, D. J. Hagan, E. W. Van Stryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, Phys. Rev. Lett. 74, 5036 (1995).
[CrossRef] [PubMed]

White, A. G.

Wright, E. M.

L. Torner, D. Mihalache, D. Mazilu, E. M. Wright, W. E. Torruellas, and G. I. Stegeman, Opt. Commun. 121, 149 (1995).
[CrossRef]

Electron. Lett. (1)

L. Torner and D. V. Petrov, Electron. Lett. 33, 608 (1997); D. V. Petrov and L. Torner, Opt. Quantum Electron. 29, 1037 (1997).
[CrossRef]

J. Mod. Opt. (1)

V. I. Kruglov, Yu. A. Logvin, and V. M. Volkov, J. Mod. Opt. 39, 2277 (1992); J. M. Soto-Crespo, E. M. Wright, and N. N. Akhmediev, Phys. Rev. A 45, 3168 (1992); N. N. Rozanov, in Progress in Optics, E. Wolf, ed. (Elsevier, Amsterdam, 1996), Vol. XXXV.
[CrossRef] [PubMed]

J. Opt. Soc. Am. B (2)

Opt. Commun. (2)

L. Torner, D. Mihalache, D. Mazilu, E. M. Wright, W. E. Torruellas, and G. I. Stegeman, Opt. Commun. 121, 149 (1995).
[CrossRef]

I. V. Basistiy, V. Yu. Bazhenov, M. S. Soskin, and M. V. Vasnetsov, Opt. Commun. 103, 422 (1993); K. Dholakia, N. B. Simpson, M. J. Padgett, and L. Allen, Phys. Rev. A 54, 3742 (1996); A. Berzanskis, A. Matjosius, A. Piskarskas, V. Smilgevicius, and A. Stabinis, Opt. Commun. 140, 273 (1997).
[CrossRef]

Opt. Lett. (1)

Opt. Quantum Electron. (1)

For reviews, see G. I. Stegeman, D. J. Hagan, and L. Torner, Opt. Quantum Electron. 28, 1691 (1996); L. Torner, in Beam Shaping and Control with Nonlinear Optics, F. Kajzar and R. Reinisch, eds. (Plenum, New York, 1998), pp. 229–258.
[CrossRef]

Phys. Rev. Lett. (2)

W. J. Firth and D. V. Skryabin, Phys. Rev. Lett. 79, 2450 (1997).
[CrossRef]

W. E. Torruellas, Z. Wang, D. J. Hagan, E. W. Van Stryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, Phys. Rev. Lett. 74, 5036 (1995).
[CrossRef] [PubMed]

Physica D (1)

A. A. Kanashov and A. M. Rubenchik, Physica D 4, 121 (1981); S. Trillo and P. Ferro, Opt. Lett. 13, 438 (1995); A. DeRossi, S. Trillo, A. V. Buryak, R. A. Fuerst, D. M. Baboiu, B. Lawrence, W. E. Torruellas, G. I. Stegeman, S. Trillo, and S. Wabnitz, Phys. Rev. Lett. 78, 2756 (1997).
[CrossRef]

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Figures (4)

Fig. 1
Fig. 1

Diagram of the experimental setup. M’s, mirrors; D, diaphragm. See text for other definitions.

Fig. 2
Fig. 2

Observed output SH light with input beams without vortices. The images show the beam profiles recorded at the end of the KTP crystal for different peak input powers P. All profiles were scaled to the same peak intensity for easy comparison. Conditions: phase matching and zero power imbalance. (a) P=10 kW, (b) P=140 kW, (c) P=215 kW, (d) slice of (c).

Fig. 3
Fig. 3

Observed output SH light when the input beam contains a single-charge vortex phase dislocation for different values of the peak input power P. Conditions: phase matching and zero power imbalance. (a) P=50 kW, (b) P=200 kW, (c) P=300 kW, (d) P=500 kW, (e) P=1 MW, (f) beam profiles in (e).

Fig. 4
Fig. 4

Same as in Fig. 3 but outside phase matching and with a nonvanishing power imbalance. (a) ΔkL=20, Po/Pe=1; (b) ΔkL=-20, Po/Pe=1; (c) ΔkL=0, Po/Pe=1.4; (d) ΔkL=0, Po/Pe=0.5. In all cases P=1 MW, L is the crystal length, and Δk=kωo+kωe-k2ω.

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