Abstract

We report the generation of complex soliton-like patterns in non-critically-phase-matched potassium niobate which occur in random spatial patterns from shot-to-shot. Up to five spots have been generated at input intensities of 10’s GW/cm2, many times the single soliton threshold. The mechanism which leads to the symmetry breaking required for the complex patterns is interpreted to be random noise imprinted on the input light.

© 2003 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. N. N. Akhmediev and A. Ankiewicz, Solitons: Nonlinear Pulses and Beams, (Chapman-Hall, London, 1997).
  2. Yu.S. Kivshar and G. Agrawal, Optical Solitons, (Academic, New York, 2003).
  3. W. E. Torruellas, Z. Wang, D J. Hagan, E. W. VanStryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, “Observation of two-dimensional spatial solitary waves in a quadratic medium,” Phys. Rev. Lett. 74, 5036 (1995).
    [CrossRef] [PubMed]
  4. W. Torruellas, Y. Kivshar, and G.I. Stegeman, “Quadratic Solitons”, in “Spatial Solitons”, S. Trillo and W. Torruellas editors (Springer-Verlag, Berlin, 2001) pp 127–168.
  5. S. Carrasco, L. Torner, J. P. Torres, D. Artigas, E. Lopez-Lago, V. Couderc, and A. Barthelemy, “Quadratic solitons: Existence versus excitation,” IEEE J. Sel. Top. Quantum Elect. 8, 497 (2002).
    [CrossRef]
  6. M. Katz, D. Eger, H. Kim, L. Jankovic, G. Stegeman, S. Carrasco, and L. Torner, “Second Harmonic Generation Tuning Curves In Quasi-Phase-Matched KTP With Narrow, High Intensity Beams,” J. Appl. Phys. 93, 8852 (2003).
    [CrossRef]
  7. R. Malendevich, L. Jankovic, S. Polyakov, R. Fuerst, G. I. Stegeman, Ch. Bosshard, and P. Gunter, “Two-Dimensional Type I Quadratic Spatial Solitons in KNbO3 Near Non-Critical Phase-Matching,” Opt. Lett. 27, 631 (2002).
    [CrossRef]
  8. S. Polyakov, R. Malendevich, L. Jankovic, G. Stegeman, Ch. Bosshard, and P. Gunter, “Effects of Anisotropic Diffraction on Quadratic Multi Soliton Excitation in Non-critically Phase-matched Crystals,” Opt. Lett. 27, 1049 (2002).
    [CrossRef]
  9. S. Carrasco, S. Polyakov, H. Kim, L. Jankovic, G. I. Stegeman, J. P. Torres, L. Torner, and M. Katz, “Observation of multiple soliton generation mediated by amplification of asymmetries,” Phys. Rev. E 67, 046616 (2003).
    [CrossRef]
  10. S. Polyakov, L. Jankovic, H. Kim, G. Stegeman, S. Carrasco, L. Torner, and M. Katz, “Properties of Quadratic Multi-Soliton Generation Near Phase-Match in Periodically Poled Potassium Titanyl Phosphate,” Opt. Express 11, 1328 (2003).
    [CrossRef] [PubMed]
  11. S. Minardi, G. Blasi, P. Di Trapani, A. Varanavicius, G. Valiulis, A. Berzanskis, and A. Piskarskas, “Red solitons: evidence of spatio-temporal instability in Chi2 spatial-soliton dynamics,” arXiv: physics/0304030 (2003), http://arxiv.org/PS_cache/physics/pdf/0304/0304030.pdf
  12. I. Biaggio, P. Kerkoc, L.-S. Wu, P. Günter, and B. Zysset, “Refractive indices of orthorhombic KNbO3. II Phase-matching configurations for nonlinear-optical interactions,” J. Opt. Soc. Am. B 9, 507 (1992).
    [CrossRef]
  13. A. D. Ludlow, H. M. Nelson, and S. D. Bergeson, “Two-photon absorption in potassium niobate,” J. Opt. Soc. Am. B 18, 1813 (2001).
    [CrossRef]
  14. Ch. Bosshard, R. Spreiter, M. Zgonik, and P. Gunter, “Kerr Nonlinearity via Cascaded Optical Rectification and the Linear Electro-optic Effect,” Phys. Rev. Lett. 74, 2816 (1995).
    [CrossRef] [PubMed]

2003 (3)

M. Katz, D. Eger, H. Kim, L. Jankovic, G. Stegeman, S. Carrasco, and L. Torner, “Second Harmonic Generation Tuning Curves In Quasi-Phase-Matched KTP With Narrow, High Intensity Beams,” J. Appl. Phys. 93, 8852 (2003).
[CrossRef]

S. Carrasco, S. Polyakov, H. Kim, L. Jankovic, G. I. Stegeman, J. P. Torres, L. Torner, and M. Katz, “Observation of multiple soliton generation mediated by amplification of asymmetries,” Phys. Rev. E 67, 046616 (2003).
[CrossRef]

S. Polyakov, L. Jankovic, H. Kim, G. Stegeman, S. Carrasco, L. Torner, and M. Katz, “Properties of Quadratic Multi-Soliton Generation Near Phase-Match in Periodically Poled Potassium Titanyl Phosphate,” Opt. Express 11, 1328 (2003).
[CrossRef] [PubMed]

2002 (3)

2001 (1)

1995 (2)

W. E. Torruellas, Z. Wang, D J. Hagan, E. W. VanStryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, “Observation of two-dimensional spatial solitary waves in a quadratic medium,” Phys. Rev. Lett. 74, 5036 (1995).
[CrossRef] [PubMed]

Ch. Bosshard, R. Spreiter, M. Zgonik, and P. Gunter, “Kerr Nonlinearity via Cascaded Optical Rectification and the Linear Electro-optic Effect,” Phys. Rev. Lett. 74, 2816 (1995).
[CrossRef] [PubMed]

1992 (1)

Agrawal, G.

Yu.S. Kivshar and G. Agrawal, Optical Solitons, (Academic, New York, 2003).

Akhmediev, N. N.

N. N. Akhmediev and A. Ankiewicz, Solitons: Nonlinear Pulses and Beams, (Chapman-Hall, London, 1997).

Ankiewicz, A.

N. N. Akhmediev and A. Ankiewicz, Solitons: Nonlinear Pulses and Beams, (Chapman-Hall, London, 1997).

Artigas, D.

S. Carrasco, L. Torner, J. P. Torres, D. Artigas, E. Lopez-Lago, V. Couderc, and A. Barthelemy, “Quadratic solitons: Existence versus excitation,” IEEE J. Sel. Top. Quantum Elect. 8, 497 (2002).
[CrossRef]

Barthelemy, A.

S. Carrasco, L. Torner, J. P. Torres, D. Artigas, E. Lopez-Lago, V. Couderc, and A. Barthelemy, “Quadratic solitons: Existence versus excitation,” IEEE J. Sel. Top. Quantum Elect. 8, 497 (2002).
[CrossRef]

Bergeson, S. D.

Berzanskis, A.

S. Minardi, G. Blasi, P. Di Trapani, A. Varanavicius, G. Valiulis, A. Berzanskis, and A. Piskarskas, “Red solitons: evidence of spatio-temporal instability in Chi2 spatial-soliton dynamics,” arXiv: physics/0304030 (2003), http://arxiv.org/PS_cache/physics/pdf/0304/0304030.pdf

Biaggio, I.

Blasi, G.

S. Minardi, G. Blasi, P. Di Trapani, A. Varanavicius, G. Valiulis, A. Berzanskis, and A. Piskarskas, “Red solitons: evidence of spatio-temporal instability in Chi2 spatial-soliton dynamics,” arXiv: physics/0304030 (2003), http://arxiv.org/PS_cache/physics/pdf/0304/0304030.pdf

Bosshard, Ch.

Carrasco, S.

S. Polyakov, L. Jankovic, H. Kim, G. Stegeman, S. Carrasco, L. Torner, and M. Katz, “Properties of Quadratic Multi-Soliton Generation Near Phase-Match in Periodically Poled Potassium Titanyl Phosphate,” Opt. Express 11, 1328 (2003).
[CrossRef] [PubMed]

M. Katz, D. Eger, H. Kim, L. Jankovic, G. Stegeman, S. Carrasco, and L. Torner, “Second Harmonic Generation Tuning Curves In Quasi-Phase-Matched KTP With Narrow, High Intensity Beams,” J. Appl. Phys. 93, 8852 (2003).
[CrossRef]

S. Carrasco, S. Polyakov, H. Kim, L. Jankovic, G. I. Stegeman, J. P. Torres, L. Torner, and M. Katz, “Observation of multiple soliton generation mediated by amplification of asymmetries,” Phys. Rev. E 67, 046616 (2003).
[CrossRef]

S. Carrasco, L. Torner, J. P. Torres, D. Artigas, E. Lopez-Lago, V. Couderc, and A. Barthelemy, “Quadratic solitons: Existence versus excitation,” IEEE J. Sel. Top. Quantum Elect. 8, 497 (2002).
[CrossRef]

Couderc, V.

S. Carrasco, L. Torner, J. P. Torres, D. Artigas, E. Lopez-Lago, V. Couderc, and A. Barthelemy, “Quadratic solitons: Existence versus excitation,” IEEE J. Sel. Top. Quantum Elect. 8, 497 (2002).
[CrossRef]

Di Trapani, P.

S. Minardi, G. Blasi, P. Di Trapani, A. Varanavicius, G. Valiulis, A. Berzanskis, and A. Piskarskas, “Red solitons: evidence of spatio-temporal instability in Chi2 spatial-soliton dynamics,” arXiv: physics/0304030 (2003), http://arxiv.org/PS_cache/physics/pdf/0304/0304030.pdf

Eger, D.

M. Katz, D. Eger, H. Kim, L. Jankovic, G. Stegeman, S. Carrasco, and L. Torner, “Second Harmonic Generation Tuning Curves In Quasi-Phase-Matched KTP With Narrow, High Intensity Beams,” J. Appl. Phys. 93, 8852 (2003).
[CrossRef]

Fuerst, R.

Gunter, P.

Günter, P.

Hagan, D J.

W. E. Torruellas, Z. Wang, D J. Hagan, E. W. VanStryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, “Observation of two-dimensional spatial solitary waves in a quadratic medium,” Phys. Rev. Lett. 74, 5036 (1995).
[CrossRef] [PubMed]

Jankovic, L.

Katz, M.

S. Carrasco, S. Polyakov, H. Kim, L. Jankovic, G. I. Stegeman, J. P. Torres, L. Torner, and M. Katz, “Observation of multiple soliton generation mediated by amplification of asymmetries,” Phys. Rev. E 67, 046616 (2003).
[CrossRef]

M. Katz, D. Eger, H. Kim, L. Jankovic, G. Stegeman, S. Carrasco, and L. Torner, “Second Harmonic Generation Tuning Curves In Quasi-Phase-Matched KTP With Narrow, High Intensity Beams,” J. Appl. Phys. 93, 8852 (2003).
[CrossRef]

S. Polyakov, L. Jankovic, H. Kim, G. Stegeman, S. Carrasco, L. Torner, and M. Katz, “Properties of Quadratic Multi-Soliton Generation Near Phase-Match in Periodically Poled Potassium Titanyl Phosphate,” Opt. Express 11, 1328 (2003).
[CrossRef] [PubMed]

Kerkoc, P.

Kim, H.

S. Polyakov, L. Jankovic, H. Kim, G. Stegeman, S. Carrasco, L. Torner, and M. Katz, “Properties of Quadratic Multi-Soliton Generation Near Phase-Match in Periodically Poled Potassium Titanyl Phosphate,” Opt. Express 11, 1328 (2003).
[CrossRef] [PubMed]

M. Katz, D. Eger, H. Kim, L. Jankovic, G. Stegeman, S. Carrasco, and L. Torner, “Second Harmonic Generation Tuning Curves In Quasi-Phase-Matched KTP With Narrow, High Intensity Beams,” J. Appl. Phys. 93, 8852 (2003).
[CrossRef]

S. Carrasco, S. Polyakov, H. Kim, L. Jankovic, G. I. Stegeman, J. P. Torres, L. Torner, and M. Katz, “Observation of multiple soliton generation mediated by amplification of asymmetries,” Phys. Rev. E 67, 046616 (2003).
[CrossRef]

Kivshar, Y.

W. Torruellas, Y. Kivshar, and G.I. Stegeman, “Quadratic Solitons”, in “Spatial Solitons”, S. Trillo and W. Torruellas editors (Springer-Verlag, Berlin, 2001) pp 127–168.

Kivshar, Yu.S.

Yu.S. Kivshar and G. Agrawal, Optical Solitons, (Academic, New York, 2003).

Lopez-Lago, E.

S. Carrasco, L. Torner, J. P. Torres, D. Artigas, E. Lopez-Lago, V. Couderc, and A. Barthelemy, “Quadratic solitons: Existence versus excitation,” IEEE J. Sel. Top. Quantum Elect. 8, 497 (2002).
[CrossRef]

Ludlow, A. D.

Malendevich, R.

Menyuk, C. R.

W. E. Torruellas, Z. Wang, D J. Hagan, E. W. VanStryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, “Observation of two-dimensional spatial solitary waves in a quadratic medium,” Phys. Rev. Lett. 74, 5036 (1995).
[CrossRef] [PubMed]

Minardi, S.

S. Minardi, G. Blasi, P. Di Trapani, A. Varanavicius, G. Valiulis, A. Berzanskis, and A. Piskarskas, “Red solitons: evidence of spatio-temporal instability in Chi2 spatial-soliton dynamics,” arXiv: physics/0304030 (2003), http://arxiv.org/PS_cache/physics/pdf/0304/0304030.pdf

Nelson, H. M.

Piskarskas, A.

S. Minardi, G. Blasi, P. Di Trapani, A. Varanavicius, G. Valiulis, A. Berzanskis, and A. Piskarskas, “Red solitons: evidence of spatio-temporal instability in Chi2 spatial-soliton dynamics,” arXiv: physics/0304030 (2003), http://arxiv.org/PS_cache/physics/pdf/0304/0304030.pdf

Polyakov, S.

Spreiter, R.

Ch. Bosshard, R. Spreiter, M. Zgonik, and P. Gunter, “Kerr Nonlinearity via Cascaded Optical Rectification and the Linear Electro-optic Effect,” Phys. Rev. Lett. 74, 2816 (1995).
[CrossRef] [PubMed]

Stegeman, G.

Stegeman, G. I.

S. Carrasco, S. Polyakov, H. Kim, L. Jankovic, G. I. Stegeman, J. P. Torres, L. Torner, and M. Katz, “Observation of multiple soliton generation mediated by amplification of asymmetries,” Phys. Rev. E 67, 046616 (2003).
[CrossRef]

R. Malendevich, L. Jankovic, S. Polyakov, R. Fuerst, G. I. Stegeman, Ch. Bosshard, and P. Gunter, “Two-Dimensional Type I Quadratic Spatial Solitons in KNbO3 Near Non-Critical Phase-Matching,” Opt. Lett. 27, 631 (2002).
[CrossRef]

W. E. Torruellas, Z. Wang, D J. Hagan, E. W. VanStryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, “Observation of two-dimensional spatial solitary waves in a quadratic medium,” Phys. Rev. Lett. 74, 5036 (1995).
[CrossRef] [PubMed]

Stegeman, G.I.

W. Torruellas, Y. Kivshar, and G.I. Stegeman, “Quadratic Solitons”, in “Spatial Solitons”, S. Trillo and W. Torruellas editors (Springer-Verlag, Berlin, 2001) pp 127–168.

Torner, L.

M. Katz, D. Eger, H. Kim, L. Jankovic, G. Stegeman, S. Carrasco, and L. Torner, “Second Harmonic Generation Tuning Curves In Quasi-Phase-Matched KTP With Narrow, High Intensity Beams,” J. Appl. Phys. 93, 8852 (2003).
[CrossRef]

S. Polyakov, L. Jankovic, H. Kim, G. Stegeman, S. Carrasco, L. Torner, and M. Katz, “Properties of Quadratic Multi-Soliton Generation Near Phase-Match in Periodically Poled Potassium Titanyl Phosphate,” Opt. Express 11, 1328 (2003).
[CrossRef] [PubMed]

S. Carrasco, S. Polyakov, H. Kim, L. Jankovic, G. I. Stegeman, J. P. Torres, L. Torner, and M. Katz, “Observation of multiple soliton generation mediated by amplification of asymmetries,” Phys. Rev. E 67, 046616 (2003).
[CrossRef]

S. Carrasco, L. Torner, J. P. Torres, D. Artigas, E. Lopez-Lago, V. Couderc, and A. Barthelemy, “Quadratic solitons: Existence versus excitation,” IEEE J. Sel. Top. Quantum Elect. 8, 497 (2002).
[CrossRef]

W. E. Torruellas, Z. Wang, D J. Hagan, E. W. VanStryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, “Observation of two-dimensional spatial solitary waves in a quadratic medium,” Phys. Rev. Lett. 74, 5036 (1995).
[CrossRef] [PubMed]

Torres, J. P.

S. Carrasco, S. Polyakov, H. Kim, L. Jankovic, G. I. Stegeman, J. P. Torres, L. Torner, and M. Katz, “Observation of multiple soliton generation mediated by amplification of asymmetries,” Phys. Rev. E 67, 046616 (2003).
[CrossRef]

S. Carrasco, L. Torner, J. P. Torres, D. Artigas, E. Lopez-Lago, V. Couderc, and A. Barthelemy, “Quadratic solitons: Existence versus excitation,” IEEE J. Sel. Top. Quantum Elect. 8, 497 (2002).
[CrossRef]

Torruellas, W.

W. Torruellas, Y. Kivshar, and G.I. Stegeman, “Quadratic Solitons”, in “Spatial Solitons”, S. Trillo and W. Torruellas editors (Springer-Verlag, Berlin, 2001) pp 127–168.

Torruellas, W. E.

W. E. Torruellas, Z. Wang, D J. Hagan, E. W. VanStryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, “Observation of two-dimensional spatial solitary waves in a quadratic medium,” Phys. Rev. Lett. 74, 5036 (1995).
[CrossRef] [PubMed]

Valiulis, G.

S. Minardi, G. Blasi, P. Di Trapani, A. Varanavicius, G. Valiulis, A. Berzanskis, and A. Piskarskas, “Red solitons: evidence of spatio-temporal instability in Chi2 spatial-soliton dynamics,” arXiv: physics/0304030 (2003), http://arxiv.org/PS_cache/physics/pdf/0304/0304030.pdf

VanStryland, E. W.

W. E. Torruellas, Z. Wang, D J. Hagan, E. W. VanStryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, “Observation of two-dimensional spatial solitary waves in a quadratic medium,” Phys. Rev. Lett. 74, 5036 (1995).
[CrossRef] [PubMed]

Varanavicius, A.

S. Minardi, G. Blasi, P. Di Trapani, A. Varanavicius, G. Valiulis, A. Berzanskis, and A. Piskarskas, “Red solitons: evidence of spatio-temporal instability in Chi2 spatial-soliton dynamics,” arXiv: physics/0304030 (2003), http://arxiv.org/PS_cache/physics/pdf/0304/0304030.pdf

Wang, Z.

W. E. Torruellas, Z. Wang, D J. Hagan, E. W. VanStryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, “Observation of two-dimensional spatial solitary waves in a quadratic medium,” Phys. Rev. Lett. 74, 5036 (1995).
[CrossRef] [PubMed]

Wu, L.-S.

Zgonik, M.

Ch. Bosshard, R. Spreiter, M. Zgonik, and P. Gunter, “Kerr Nonlinearity via Cascaded Optical Rectification and the Linear Electro-optic Effect,” Phys. Rev. Lett. 74, 2816 (1995).
[CrossRef] [PubMed]

Zysset, B.

IEEE J. Sel. Top. Quantum Elect. (1)

S. Carrasco, L. Torner, J. P. Torres, D. Artigas, E. Lopez-Lago, V. Couderc, and A. Barthelemy, “Quadratic solitons: Existence versus excitation,” IEEE J. Sel. Top. Quantum Elect. 8, 497 (2002).
[CrossRef]

J. Appl. Phys. (1)

M. Katz, D. Eger, H. Kim, L. Jankovic, G. Stegeman, S. Carrasco, and L. Torner, “Second Harmonic Generation Tuning Curves In Quasi-Phase-Matched KTP With Narrow, High Intensity Beams,” J. Appl. Phys. 93, 8852 (2003).
[CrossRef]

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

Opt. Express (1)

Opt. Lett. (2)

Phys. Rev. E (1)

S. Carrasco, S. Polyakov, H. Kim, L. Jankovic, G. I. Stegeman, J. P. Torres, L. Torner, and M. Katz, “Observation of multiple soliton generation mediated by amplification of asymmetries,” Phys. Rev. E 67, 046616 (2003).
[CrossRef]

Phys. Rev. Lett. (2)

W. E. Torruellas, Z. Wang, D J. Hagan, E. W. VanStryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, “Observation of two-dimensional spatial solitary waves in a quadratic medium,” Phys. Rev. Lett. 74, 5036 (1995).
[CrossRef] [PubMed]

Ch. Bosshard, R. Spreiter, M. Zgonik, and P. Gunter, “Kerr Nonlinearity via Cascaded Optical Rectification and the Linear Electro-optic Effect,” Phys. Rev. Lett. 74, 2816 (1995).
[CrossRef] [PubMed]

Other (4)

W. Torruellas, Y. Kivshar, and G.I. Stegeman, “Quadratic Solitons”, in “Spatial Solitons”, S. Trillo and W. Torruellas editors (Springer-Verlag, Berlin, 2001) pp 127–168.

N. N. Akhmediev and A. Ankiewicz, Solitons: Nonlinear Pulses and Beams, (Chapman-Hall, London, 1997).

Yu.S. Kivshar and G. Agrawal, Optical Solitons, (Academic, New York, 2003).

S. Minardi, G. Blasi, P. Di Trapani, A. Varanavicius, G. Valiulis, A. Berzanskis, and A. Piskarskas, “Red solitons: evidence of spatio-temporal instability in Chi2 spatial-soliton dynamics,” arXiv: physics/0304030 (2003), http://arxiv.org/PS_cache/physics/pdf/0304/0304030.pdf

Supplementary Material (3)

» Media 1: GIF (129 KB)     
» Media 2: GIF (288 KB)     
» Media 3: GIF (423 KB)     

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (3)

Fig. 1.
Fig. 1.

A typical, experimental intensity distribution of the input beam in 2 and 3D.

Fig. 2.
Fig. 2.

(Movies 128KB, 288KB and 423KB) Three collages of output beam patterns obtained for peak input fundamental beam intensities of 8 GW/cm2, 15 GW/cm2 and 30 GW/cm2. Successive frames correspond to successive laser pulses at the same peak input intensity.

Fig. 3.
Fig. 3.

Selection of four output patterns obtained under different conditions.

Metrics