Abstract

The generation of multiple quadratic spatial solitons aligned approximately along a crystal axis in a biaxial noncritically phase-matched crystal is shown theoretically and experimentally to be the consequence of anisotropic diffraction.

© 2002 Optical Society of America

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  1. Y. Karamzin and A. Sukhorukov, Zh. Eksp. Teor. Fiz. 68, 834 (1975).
  2. Y. Karamzin and A. Sukhorukov, Sov. Phys. JETP 41, 414 (1976).
  3. W. Torruellas, Z. Wang, D. Hagan, E. Van Stryland, G. Stegeman, L. Torner, and C. Menyuk, Phys. Rev. Lett. 74, 5036 (1995).
    [CrossRef] [PubMed]
  4. R. Schiek, Y. Baek, and G. I. Stegeman, Phys. Rev. E 53, 1138 (1996).
    [CrossRef]
  5. V. Buryak and Yu. S. Kivshar, Opt. Lett. 13, 1612 (1994).
    [CrossRef]
  6. L. Torner, Opt. Commun. 114, 136 (1995).
    [CrossRef]
  7. L. Torner, D. Mihalache, D. Mazilu, E. M. Wright, W. E. Torruellas, and G. I. Stegeman, Opt. Commun. 121, 1495 (1995).
    [CrossRef]
  8. L. Torner, D. Mazilu, and D. Mihalache, Phys. Rev. Lett. 77, 2455 (1996).
    [CrossRef] [PubMed]
  9. W. E. Torruellas, W. Wang, L. Torner, and G. I. Stegeman, Opt. Lett. 20, 949 (1995).
    [CrossRef]
  10. R. A. Fuerst, D.-M. Baboiu, B. Lawrence, W. E. Torruellas, G. I. Stegeman, and S. Trillo, Phys. Rev. Lett. 78, 2760 (1997).
    [CrossRef]
  11. L. Torner, J. P. Torres, and C. R. Menyuk, Opt. Lett. 21, 462 (1995).
  12. R. Malendevich, L. Jankovic, S. Polyakov, R. Fuerst, G. I. Stegeman, Chr. Bosshard, and P. Gunter, Opt. Lett. 27, 631 (2002).
    [CrossRef]
  13. I. Biaggio, P. Kerkoc, L.-S. Wu, P. Günter, and B. Zysset, J. Opt. Soc. Am. B 9, 507 (1992).
    [CrossRef]
  14. Y. N. Karamzin and A. P. Sukhorukov, JETP Lett. 20, 339 (1974).

2002

1997

R. A. Fuerst, D.-M. Baboiu, B. Lawrence, W. E. Torruellas, G. I. Stegeman, and S. Trillo, Phys. Rev. Lett. 78, 2760 (1997).
[CrossRef]

1996

R. Schiek, Y. Baek, and G. I. Stegeman, Phys. Rev. E 53, 1138 (1996).
[CrossRef]

L. Torner, D. Mazilu, and D. Mihalache, Phys. Rev. Lett. 77, 2455 (1996).
[CrossRef] [PubMed]

1995

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

L. Torner, Opt. Commun. 114, 136 (1995).
[CrossRef]

L. Torner, D. Mihalache, D. Mazilu, E. M. Wright, W. E. Torruellas, and G. I. Stegeman, Opt. Commun. 121, 1495 (1995).
[CrossRef]

W. E. Torruellas, W. Wang, L. Torner, and G. I. Stegeman, Opt. Lett. 20, 949 (1995).
[CrossRef]

L. Torner, J. P. Torres, and C. R. Menyuk, Opt. Lett. 21, 462 (1995).

1994

V. Buryak and Yu. S. Kivshar, Opt. Lett. 13, 1612 (1994).
[CrossRef]

1992

1976

Y. Karamzin and A. Sukhorukov, Sov. Phys. JETP 41, 414 (1976).

1975

Y. Karamzin and A. Sukhorukov, Zh. Eksp. Teor. Fiz. 68, 834 (1975).

1974

Y. N. Karamzin and A. P. Sukhorukov, JETP Lett. 20, 339 (1974).

Baboiu, D.-M.

R. A. Fuerst, D.-M. Baboiu, B. Lawrence, W. E. Torruellas, G. I. Stegeman, and S. Trillo, Phys. Rev. Lett. 78, 2760 (1997).
[CrossRef]

Baek, Y.

R. Schiek, Y. Baek, and G. I. Stegeman, Phys. Rev. E 53, 1138 (1996).
[CrossRef]

Biaggio, I.

Bosshard, Chr.

Buryak, V.

V. Buryak and Yu. S. Kivshar, Opt. Lett. 13, 1612 (1994).
[CrossRef]

Fuerst, R.

Fuerst, R. A.

R. A. Fuerst, D.-M. Baboiu, B. Lawrence, W. E. Torruellas, G. I. Stegeman, and S. Trillo, Phys. Rev. Lett. 78, 2760 (1997).
[CrossRef]

Gunter, P.

Günter, P.

Hagan, D.

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

Jankovic, L.

Karamzin, Y.

Y. Karamzin and A. Sukhorukov, Sov. Phys. JETP 41, 414 (1976).

Y. Karamzin and A. Sukhorukov, Zh. Eksp. Teor. Fiz. 68, 834 (1975).

Karamzin, Y. N.

Y. N. Karamzin and A. P. Sukhorukov, JETP Lett. 20, 339 (1974).

Kerkoc, P.

Kivshar, Yu. S.

V. Buryak and Yu. S. Kivshar, Opt. Lett. 13, 1612 (1994).
[CrossRef]

Lawrence, B.

R. A. Fuerst, D.-M. Baboiu, B. Lawrence, W. E. Torruellas, G. I. Stegeman, and S. Trillo, Phys. Rev. Lett. 78, 2760 (1997).
[CrossRef]

Malendevich, R.

Mazilu, D.

L. Torner, D. Mazilu, and D. Mihalache, Phys. Rev. Lett. 77, 2455 (1996).
[CrossRef] [PubMed]

L. Torner, D. Mihalache, D. Mazilu, E. M. Wright, W. E. Torruellas, and G. I. Stegeman, Opt. Commun. 121, 1495 (1995).
[CrossRef]

Menyuk, C.

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

Menyuk, C. R.

Mihalache, D.

L. Torner, D. Mazilu, and D. Mihalache, Phys. Rev. Lett. 77, 2455 (1996).
[CrossRef] [PubMed]

L. Torner, D. Mihalache, D. Mazilu, E. M. Wright, W. E. Torruellas, and G. I. Stegeman, Opt. Commun. 121, 1495 (1995).
[CrossRef]

Polyakov, S.

Schiek, R.

R. Schiek, Y. Baek, and G. I. Stegeman, Phys. Rev. E 53, 1138 (1996).
[CrossRef]

Stegeman, G.

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

Stegeman, G. I.

R. Malendevich, L. Jankovic, S. Polyakov, R. Fuerst, G. I. Stegeman, Chr. Bosshard, and P. Gunter, Opt. Lett. 27, 631 (2002).
[CrossRef]

R. A. Fuerst, D.-M. Baboiu, B. Lawrence, W. E. Torruellas, G. I. Stegeman, and S. Trillo, Phys. Rev. Lett. 78, 2760 (1997).
[CrossRef]

R. Schiek, Y. Baek, and G. I. Stegeman, Phys. Rev. E 53, 1138 (1996).
[CrossRef]

W. E. Torruellas, W. Wang, L. Torner, and G. I. Stegeman, Opt. Lett. 20, 949 (1995).
[CrossRef]

L. Torner, D. Mihalache, D. Mazilu, E. M. Wright, W. E. Torruellas, and G. I. Stegeman, Opt. Commun. 121, 1495 (1995).
[CrossRef]

Sukhorukov, A.

Y. Karamzin and A. Sukhorukov, Sov. Phys. JETP 41, 414 (1976).

Y. Karamzin and A. Sukhorukov, Zh. Eksp. Teor. Fiz. 68, 834 (1975).

Sukhorukov, A. P.

Y. N. Karamzin and A. P. Sukhorukov, JETP Lett. 20, 339 (1974).

Torner, L.

L. Torner, D. Mazilu, and D. Mihalache, Phys. Rev. Lett. 77, 2455 (1996).
[CrossRef] [PubMed]

L. Torner, J. P. Torres, and C. R. Menyuk, Opt. Lett. 21, 462 (1995).

W. E. Torruellas, W. Wang, L. Torner, and G. I. Stegeman, Opt. Lett. 20, 949 (1995).
[CrossRef]

L. Torner, Opt. Commun. 114, 136 (1995).
[CrossRef]

L. Torner, D. Mihalache, D. Mazilu, E. M. Wright, W. E. Torruellas, and G. I. Stegeman, Opt. Commun. 121, 1495 (1995).
[CrossRef]

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

Torres, J. P.

Torruellas, W.

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

Torruellas, W. E.

R. A. Fuerst, D.-M. Baboiu, B. Lawrence, W. E. Torruellas, G. I. Stegeman, and S. Trillo, Phys. Rev. Lett. 78, 2760 (1997).
[CrossRef]

L. Torner, D. Mihalache, D. Mazilu, E. M. Wright, W. E. Torruellas, and G. I. Stegeman, Opt. Commun. 121, 1495 (1995).
[CrossRef]

W. E. Torruellas, W. Wang, L. Torner, and G. I. Stegeman, Opt. Lett. 20, 949 (1995).
[CrossRef]

Trillo, S.

R. A. Fuerst, D.-M. Baboiu, B. Lawrence, W. E. Torruellas, G. I. Stegeman, and S. Trillo, Phys. Rev. Lett. 78, 2760 (1997).
[CrossRef]

Van Stryland, E.

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

Wang, W.

Wang, Z.

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

Wright, E. M.

L. Torner, D. Mihalache, D. Mazilu, E. M. Wright, W. E. Torruellas, and G. I. Stegeman, Opt. Commun. 121, 1495 (1995).
[CrossRef]

Wu, L.-S.

Zysset, B.

J. Opt. Soc. Am. B

JETP Lett.

Y. N. Karamzin and A. P. Sukhorukov, JETP Lett. 20, 339 (1974).

Opt. Commun.

L. Torner, Opt. Commun. 114, 136 (1995).
[CrossRef]

L. Torner, D. Mihalache, D. Mazilu, E. M. Wright, W. E. Torruellas, and G. I. Stegeman, Opt. Commun. 121, 1495 (1995).
[CrossRef]

Opt. Lett.

Phys. Rev. E

R. Schiek, Y. Baek, and G. I. Stegeman, Phys. Rev. E 53, 1138 (1996).
[CrossRef]

Phys. Rev. Lett.

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

L. Torner, D. Mazilu, and D. Mihalache, Phys. Rev. Lett. 77, 2455 (1996).
[CrossRef] [PubMed]

R. A. Fuerst, D.-M. Baboiu, B. Lawrence, W. E. Torruellas, G. I. Stegeman, and S. Trillo, Phys. Rev. Lett. 78, 2760 (1997).
[CrossRef]

Sov. Phys. JETP

Y. Karamzin and A. Sukhorukov, Sov. Phys. JETP 41, 414 (1976).

Zh. Eksp. Teor. Fiz.

Y. Karamzin and A. Sukhorukov, Zh. Eksp. Teor. Fiz. 68, 834 (1975).

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Figures (4)

Fig. 1
Fig. 1

Collage of FF fractions of the beams observed at the output facet of an 11-mm KNbO3 crystal: (a) single-soliton generation at 4.5GW/cm2 input intensity and (b) three-soliton generation at 17.3GW/cm2 input.

Fig. 2
Fig. 2

Collage of solitons predicted by numerical calculations for a 6-mm crystal: (a) single-soliton generation at I=0.9 normalized intensity units (n.i.u.), (b) soliton-pair generation at I=1.0 n.i.u., and (c) three-soliton generation at I=1.3 n.i.u.

Fig. 3
Fig. 3

Calculated dependence of the run-off angle on cw input intensity (n.i.u.) for fixed d=0.1. The dashed curve is a guide for the eye. The triangle marks the threshold for single-soliton formation. The dashed lines separate regions with different numbers of generated solitons. The number of solitons is labeled for each region.

Fig. 4
Fig. 4

Dependence of the run-off angle on diffraction anisotropy with input intensity I=1 n.i.u.

Equations (2)

Equations on this page are rendered with MathJax. Learn more.

A1z+iD1x2A1x2+D1y2A1y2=-iγA2A1*, A2z+iD2x2A2x2+D2y2A2y2=-iγA12.
D1x=D1,  D1y=D1+dD1, D2x=D2+dD2,  D2y=D2.

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