Abstract

The details of two soliton collision processes were investigated in detail in a 1 cm long periodically poled KTP crystal for the case when the solitons were excited by inputting only the fundamental beam. The effects on the collision outcomes of the distance of the collision into the sample, collision angle and phase mismatch were measured for different relative phases between the input beams. At small angles (around 0.40) fusion, repulsion and energy transfer processes were observed, while at the collision angles approaching 3.20 the two output soliton beams were essentially unaffected by the interaction. The phase mismatch was varied from 3.5 to -1.5π for the 0.40 collision angle case. The output soliton separation at π input phase difference showed strongly asymmetric behavior with phase mismatch. In general, the measurements indicate a decrease in the interaction strength with increasing phase mismatch. All collision processes were performed in the vicinity of a non-critical phase matching.

© 2004 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. G. I. Stegeman and M. Segev “Optical Spatial Solitons and Their Interactions: Universality and Diversity,” Science 286, 1518 (1999).
    [Crossref] [PubMed]
  2. J. S. Aitchison, A. M. Weiner, Y. Silberberg, D. E. Leaird, M. K. Oliver, J. L. Jackel, and P. W. Smith, “Experimental observation of spatial soliton interactions,” Opt. Lett. 16, 15 (1991).
    [Crossref] [PubMed]
  3. J. Meier, G. I. Stegeman, Y. Silberberg, R. Morandotti, and J.S. Aitchison, “Nonlinear Optical Beam Interactions In Waveguide Arrays,” Phys. Rev. Lett. in press
  4. for exampleM.F. Shih and M. Segev, “Incoherent collisions between two-dimensional bright steady-state photorefractive spatial screening solitons,” Opt. Lett. 21, 1538 (1996).
    [Crossref] [PubMed]
  5. M. Peccianti, K. A. Brzdakiewicz, and G. Assanto, “Nonlocal spatial soliton interactions in nematic liquid crystals,” Opt. Lett. 27, 1460 (2002).
    [Crossref]
  6. R. Schiek, Y. Baek, G. Stegeman, and W. Sohler, “Interactions between one dimensional quadratic soliton-like beams,” Opt. Quant. Elect. 30, 861 (1998).
    [Crossref]
  7. E. A. Ultanir, G. I. Stegeman, C. H. Lange, and F. Lederer, “Interactions of Dissipative Spatial Solitons,” Opt. Lett. 29, 283 (2004).
    [Crossref] [PubMed]
  8. 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]
  9. L. Torner, C. R. Menyuk, and G.I. Stegeman, “Excitation of soliton-like waves with cascaded nonlinearities,” Opt. Lett. 19, 1615 (1994).
    [Crossref] [PubMed]
  10. W. Torruellas, Y. Kivshar, and G.I. Stegeman, “Quadratic Solitons”, book chapter in “Spatial Solitons”,S. Trillo and W. Torruellas editors (Springer-Verlag, Berlin, 2001) pp 127–168.
  11. R. Malendevich, L. Jankovic, S. Polyakov, R. Fuerst, G. 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]
  12. 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]
  13. 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]
  14. L. Jankovic, S. Polyakov, G. Stegeman, S. Carrasco, L. Torner, C. Bosshard, and P. Gunter, “Complex soliton-like pattern generation in Potassium Niobate due to noisy, high intensity, input beams,” Opt. Express 11, 2206 (2003).
    [Crossref] [PubMed]
  15. B. Constantini, C. De Angelis, A. Barthelemy, B. Bourliaguet, and V. Kermene, “Collisions between Type-II two dimensional quadratic solitons,” Opt. Lett. 23, 424 (1998).
    [Crossref]
  16. C. Simos, V. Couderc, A. Barthelemy, and A. V. Buryak, “Phase-dependent interactions between three-wave spatial solitons in bulk quadratic media,” J. Opt. Soc. Am. B 20, 2133 (2003).
    [Crossref]
  17. L. Jankovic, H. Kim, S. Polyakov, G. I. Stegeman, Ch. Bosshard, and P. Gunter, “Soliton Birth In Quadratic Spatial Soliton Collisions,” Opt. Lett. 28,1037 (2003).
    [Crossref] [PubMed]
  18. G. I. Stegeman, L. Jankovic, H. Kim, S. Polyakov, S. Carrasco, L. Torner, Ch. Bosshard, P. Gunter, M. Katz, and D. Eger, “Generation of, and Interactions Between Quadratic Spatial Solitons in Non-Critically-Phase-Matched Crystals,” Journal of Nonlinear Optical Physics & Materials 12, 447, (2003).
    [Crossref]
  19. Y. N. Karamzin and A. P. Sukhorukov“Nonlinear interaction of diffracted light beams in a medium with quadratic nonlinearity: mutual focusing of beams and limitation on the efficiency of optical frequency convertors,” JETP Lett.20, 339 (1974);Yu.N. Karamzin and A.P. Sukhorukov, “Mutual focusing of high-power light beams in media with quadratic nonlinearity,” Zh. Eksp. Teor. Phys.68, 834 (1975) (Sov. Phys.-JETP41, 414 (1976)).
  20. G.I. Stegeman, D.J. Hagan, and L. Torner, “χ(2) Cascading Phenomena and Their Applications to All-Optical Signal Processing, Mode-Locking, Pulse Compression and Solitons,” J. Optical and Quant. Electron. 28, 1691 (1996).
    [Crossref]
  21. G.I. Stegeman, “Experiments on Quadratic Solitons”, book chapter for Proceedings of NATO Advanced Research Workshop on “Soliton Driven Photonics”,A.D. Boardman and A.P. Sukhorukov editors, (Kluwer Academic Publishers, Holland, 2001), pp 21–39.
  22. W. Torruellas, Y. Kivshar, and G.I. Stegeman, “Quadratic Solitons”, book chapter in “Spatial Solitons”,S. Trillo and W. Torruellas editors (Springer-Verlag, Berlin, 2001) pp 127–168.
  23. A. V. Buryak, P. Di Trapani, D. Skryabin, and S. Trillo, “Optical solitons due to quadratic nonlinearities: from basic physics to futuristic Applications,” Phys. Rep. 370, 63 (2002).
    [Crossref]
  24. B. Bourliaguet, V. Couderc, A. Barthelemy, G. W. Ross, P. G. R. Smith, D. C. Hanna, and C. De Angelis, “Observation of Quadratic Spatial Solitons in Periodically Poled Lithium Niobate,” Opt. Lett. 24, 1410 (1999).
    [Crossref]
  25. H. Kim, L. Jankovic, G. Stegeman, S. Carrasco, L. Torner, D. Eger, and M. Katz, “Quadratic Spatial Solitons in Periodically Poled KTiOPO4,” Opt. Lett. 28, 640 (2003).
    [Crossref] [PubMed]
  26. M. Katz, D. Eger, H. Kim, L. Jankovic, G. Stegeman, Silvia 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]
  27. similar to the case discussed inL. Torner, D. Mihalache, D. Mazilu, E. M. Wright, W. E. Torruellas, and G. I. Stegeman, “Stationary trapping of light beams in bulk second-order nonlinear media,” Opt. Commun. 121, 149 (1995).
    [Crossref]
  28. L. Torner and G.I. Stegeman, “Soliton Evolution in Quasi-Phase-Matched Second-Harmonic Generation,” JOSA B (special issue) 14, 3127 (1997).
  29. G. Assanto and G. I. Stegeman, “The Simple Physics of Quadratic Spatial Solitons,” Opt. Exp. 10, 388–96 (2002).
    [Crossref]
  30. R.A. Fuerst, M.T.G. Canva, D. Baboiu, and G.I. Stegeman, “Properties of Type II Quadratic Solitons Excited by Unbalanced Fundamental Waves,” Opt. Lett. 22, 1748 (1997).
    [Crossref]
  31. A. Englander, R. Lavi, M. Katz, M. Oron, D. Eger, E. Lebiush, G. Rosenman, and A. Skliar, “Highly efficient doubling of a high-repetition-rate diode-pumped laser with bulk periodically poled KTP,” Opt. Lett. 22, 1598 (1997).
    [Crossref]
  32. D.-M. Baboiu, G.I. Stegeman, and L. Torner, “Collision of solitary waves in quadratic media,” Opt. Lett. 20, 2282 (1995).
    [Crossref] [PubMed]
  33. C. Etrich, F. Lederer, B.A. Malomed, T. Peschel, and U. Peschel, “Progress in Optics”, E. Wolf editor (Elsevier, New York, 2000) Vol. 41, pp. 483–568.
  34. C. Etrich, U. Peschel, F. Lederer, and B. Malomed, “Collisions of solitary waves in media with a second order nonlinearity,” Phys. Rev. B 52, R3444 (1995).

2004 (1)

2003 (8)

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]

L. Jankovic, S. Polyakov, G. Stegeman, S. Carrasco, L. Torner, C. Bosshard, and P. Gunter, “Complex soliton-like pattern generation in Potassium Niobate due to noisy, high intensity, input beams,” Opt. Express 11, 2206 (2003).
[Crossref] [PubMed]

C. Simos, V. Couderc, A. Barthelemy, and A. V. Buryak, “Phase-dependent interactions between three-wave spatial solitons in bulk quadratic media,” J. Opt. Soc. Am. B 20, 2133 (2003).
[Crossref]

L. Jankovic, H. Kim, S. Polyakov, G. I. Stegeman, Ch. Bosshard, and P. Gunter, “Soliton Birth In Quadratic Spatial Soliton Collisions,” Opt. Lett. 28,1037 (2003).
[Crossref] [PubMed]

G. I. Stegeman, L. Jankovic, H. Kim, S. Polyakov, S. Carrasco, L. Torner, Ch. Bosshard, P. Gunter, M. Katz, and D. Eger, “Generation of, and Interactions Between Quadratic Spatial Solitons in Non-Critically-Phase-Matched Crystals,” Journal of Nonlinear Optical Physics & Materials 12, 447, (2003).
[Crossref]

H. Kim, L. Jankovic, G. Stegeman, S. Carrasco, L. Torner, D. Eger, and M. Katz, “Quadratic Spatial Solitons in Periodically Poled KTiOPO4,” Opt. Lett. 28, 640 (2003).
[Crossref] [PubMed]

M. Katz, D. Eger, H. Kim, L. Jankovic, G. Stegeman, Silvia 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]

2002 (4)

A. V. Buryak, P. Di Trapani, D. Skryabin, and S. Trillo, “Optical solitons due to quadratic nonlinearities: from basic physics to futuristic Applications,” Phys. Rep. 370, 63 (2002).
[Crossref]

G. Assanto and G. I. Stegeman, “The Simple Physics of Quadratic Spatial Solitons,” Opt. Exp. 10, 388–96 (2002).
[Crossref]

R. Malendevich, L. Jankovic, S. Polyakov, R. Fuerst, G. 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]

M. Peccianti, K. A. Brzdakiewicz, and G. Assanto, “Nonlocal spatial soliton interactions in nematic liquid crystals,” Opt. Lett. 27, 1460 (2002).
[Crossref]

1999 (2)

1998 (2)

R. Schiek, Y. Baek, G. Stegeman, and W. Sohler, “Interactions between one dimensional quadratic soliton-like beams,” Opt. Quant. Elect. 30, 861 (1998).
[Crossref]

B. Constantini, C. De Angelis, A. Barthelemy, B. Bourliaguet, and V. Kermene, “Collisions between Type-II two dimensional quadratic solitons,” Opt. Lett. 23, 424 (1998).
[Crossref]

1997 (3)

1996 (2)

G.I. Stegeman, D.J. Hagan, and L. Torner, “χ(2) Cascading Phenomena and Their Applications to All-Optical Signal Processing, Mode-Locking, Pulse Compression and Solitons,” J. Optical and Quant. Electron. 28, 1691 (1996).
[Crossref]

for exampleM.F. Shih and M. Segev, “Incoherent collisions between two-dimensional bright steady-state photorefractive spatial screening solitons,” Opt. Lett. 21, 1538 (1996).
[Crossref] [PubMed]

1995 (4)

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]

D.-M. Baboiu, G.I. Stegeman, and L. Torner, “Collision of solitary waves in quadratic media,” Opt. Lett. 20, 2282 (1995).
[Crossref] [PubMed]

C. Etrich, U. Peschel, F. Lederer, and B. Malomed, “Collisions of solitary waves in media with a second order nonlinearity,” Phys. Rev. B 52, R3444 (1995).

similar to the case discussed inL. Torner, D. Mihalache, D. Mazilu, E. M. Wright, W. E. Torruellas, and G. I. Stegeman, “Stationary trapping of light beams in bulk second-order nonlinear media,” Opt. Commun. 121, 149 (1995).
[Crossref]

1994 (1)

1991 (1)

Aitchison, J. S.

Aitchison, J.S.

J. Meier, G. I. Stegeman, Y. Silberberg, R. Morandotti, and J.S. Aitchison, “Nonlinear Optical Beam Interactions In Waveguide Arrays,” Phys. Rev. Lett. in press

Assanto, G.

G. Assanto and G. I. Stegeman, “The Simple Physics of Quadratic Spatial Solitons,” Opt. Exp. 10, 388–96 (2002).
[Crossref]

M. Peccianti, K. A. Brzdakiewicz, and G. Assanto, “Nonlocal spatial soliton interactions in nematic liquid crystals,” Opt. Lett. 27, 1460 (2002).
[Crossref]

Baboiu, D.

Baboiu, D.-M.

Baek, Y.

R. Schiek, Y. Baek, G. Stegeman, and W. Sohler, “Interactions between one dimensional quadratic soliton-like beams,” Opt. Quant. Elect. 30, 861 (1998).
[Crossref]

Barthelemy, A.

Bosshard, C.

Bosshard, Ch.

L. Jankovic, H. Kim, S. Polyakov, G. I. Stegeman, Ch. Bosshard, and P. Gunter, “Soliton Birth In Quadratic Spatial Soliton Collisions,” Opt. Lett. 28,1037 (2003).
[Crossref] [PubMed]

G. I. Stegeman, L. Jankovic, H. Kim, S. Polyakov, S. Carrasco, L. Torner, Ch. Bosshard, P. Gunter, M. Katz, and D. Eger, “Generation of, and Interactions Between Quadratic Spatial Solitons in Non-Critically-Phase-Matched Crystals,” Journal of Nonlinear Optical Physics & Materials 12, 447, (2003).
[Crossref]

R. Malendevich, L. Jankovic, S. Polyakov, R. Fuerst, G. 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]

Bourliaguet, B.

Brzdakiewicz, K. A.

Buryak, A. V.

C. Simos, V. Couderc, A. Barthelemy, and A. V. Buryak, “Phase-dependent interactions between three-wave spatial solitons in bulk quadratic media,” J. Opt. Soc. Am. B 20, 2133 (2003).
[Crossref]

A. V. Buryak, P. Di Trapani, D. Skryabin, and S. Trillo, “Optical solitons due to quadratic nonlinearities: from basic physics to futuristic Applications,” Phys. Rep. 370, 63 (2002).
[Crossref]

Canva, M.T.G.

Carrasco, S.

H. Kim, L. Jankovic, G. Stegeman, S. Carrasco, L. Torner, D. Eger, and M. Katz, “Quadratic Spatial Solitons in Periodically Poled KTiOPO4,” Opt. Lett. 28, 640 (2003).
[Crossref] [PubMed]

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]

G. I. Stegeman, L. Jankovic, H. Kim, S. Polyakov, S. Carrasco, L. Torner, Ch. Bosshard, P. Gunter, M. Katz, and D. Eger, “Generation of, and Interactions Between Quadratic Spatial Solitons in Non-Critically-Phase-Matched Crystals,” Journal of Nonlinear Optical Physics & Materials 12, 447, (2003).
[Crossref]

L. Jankovic, S. Polyakov, G. Stegeman, S. Carrasco, L. Torner, C. Bosshard, and P. Gunter, “Complex soliton-like pattern generation in Potassium Niobate due to noisy, high intensity, input beams,” Opt. Express 11, 2206 (2003).
[Crossref] [PubMed]

Carrasco, Silvia

M. Katz, D. Eger, H. Kim, L. Jankovic, G. Stegeman, Silvia 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]

Constantini, B.

Couderc, V.

De Angelis, C.

Di Trapani, P.

A. V. Buryak, P. Di Trapani, D. Skryabin, and S. Trillo, “Optical solitons due to quadratic nonlinearities: from basic physics to futuristic Applications,” Phys. Rep. 370, 63 (2002).
[Crossref]

Eger, D.

G. I. Stegeman, L. Jankovic, H. Kim, S. Polyakov, S. Carrasco, L. Torner, Ch. Bosshard, P. Gunter, M. Katz, and D. Eger, “Generation of, and Interactions Between Quadratic Spatial Solitons in Non-Critically-Phase-Matched Crystals,” Journal of Nonlinear Optical Physics & Materials 12, 447, (2003).
[Crossref]

M. Katz, D. Eger, H. Kim, L. Jankovic, G. Stegeman, Silvia 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]

H. Kim, L. Jankovic, G. Stegeman, S. Carrasco, L. Torner, D. Eger, and M. Katz, “Quadratic Spatial Solitons in Periodically Poled KTiOPO4,” Opt. Lett. 28, 640 (2003).
[Crossref] [PubMed]

A. Englander, R. Lavi, M. Katz, M. Oron, D. Eger, E. Lebiush, G. Rosenman, and A. Skliar, “Highly efficient doubling of a high-repetition-rate diode-pumped laser with bulk periodically poled KTP,” Opt. Lett. 22, 1598 (1997).
[Crossref]

Englander, A.

Etrich, C.

C. Etrich, U. Peschel, F. Lederer, and B. Malomed, “Collisions of solitary waves in media with a second order nonlinearity,” Phys. Rev. B 52, R3444 (1995).

C. Etrich, F. Lederer, B.A. Malomed, T. Peschel, and U. Peschel, “Progress in Optics”, E. Wolf editor (Elsevier, New York, 2000) Vol. 41, pp. 483–568.

Fuerst, R.

Fuerst, R.A.

Gunter, P.

Hagan, D.J.

G.I. Stegeman, D.J. Hagan, and L. Torner, “χ(2) Cascading Phenomena and Their Applications to All-Optical Signal Processing, Mode-Locking, Pulse Compression and Solitons,” J. Optical and Quant. Electron. 28, 1691 (1996).
[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]

Hanna, D. C.

Jackel, J. L.

Jankovic, L.

H. Kim, L. Jankovic, G. Stegeman, S. Carrasco, L. Torner, D. Eger, and M. Katz, “Quadratic Spatial Solitons in Periodically Poled KTiOPO4,” Opt. Lett. 28, 640 (2003).
[Crossref] [PubMed]

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]

G. I. Stegeman, L. Jankovic, H. Kim, S. Polyakov, S. Carrasco, L. Torner, Ch. Bosshard, P. Gunter, M. Katz, and D. Eger, “Generation of, and Interactions Between Quadratic Spatial Solitons in Non-Critically-Phase-Matched Crystals,” Journal of Nonlinear Optical Physics & Materials 12, 447, (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]

M. Katz, D. Eger, H. Kim, L. Jankovic, G. Stegeman, Silvia 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]

L. Jankovic, H. Kim, S. Polyakov, G. I. Stegeman, Ch. Bosshard, and P. Gunter, “Soliton Birth In Quadratic Spatial Soliton Collisions,” Opt. Lett. 28,1037 (2003).
[Crossref] [PubMed]

L. Jankovic, S. Polyakov, G. Stegeman, S. Carrasco, L. Torner, C. Bosshard, and P. Gunter, “Complex soliton-like pattern generation in Potassium Niobate due to noisy, high intensity, input beams,” Opt. Express 11, 2206 (2003).
[Crossref] [PubMed]

R. Malendevich, L. Jankovic, S. Polyakov, R. Fuerst, G. 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]

Karamzin, Y. N.

Y. N. Karamzin and A. P. Sukhorukov“Nonlinear interaction of diffracted light beams in a medium with quadratic nonlinearity: mutual focusing of beams and limitation on the efficiency of optical frequency convertors,” JETP Lett.20, 339 (1974);Yu.N. Karamzin and A.P. Sukhorukov, “Mutual focusing of high-power light beams in media with quadratic nonlinearity,” Zh. Eksp. Teor. Phys.68, 834 (1975) (Sov. Phys.-JETP41, 414 (1976)).

Karamzin, Yu.N.

Y. N. Karamzin and A. P. Sukhorukov“Nonlinear interaction of diffracted light beams in a medium with quadratic nonlinearity: mutual focusing of beams and limitation on the efficiency of optical frequency convertors,” JETP Lett.20, 339 (1974);Yu.N. Karamzin and A.P. Sukhorukov, “Mutual focusing of high-power light beams in media with quadratic nonlinearity,” Zh. Eksp. Teor. Phys.68, 834 (1975) (Sov. Phys.-JETP41, 414 (1976)).

Katz, M.

G. I. Stegeman, L. Jankovic, H. Kim, S. Polyakov, S. Carrasco, L. Torner, Ch. Bosshard, P. Gunter, M. Katz, and D. Eger, “Generation of, and Interactions Between Quadratic Spatial Solitons in Non-Critically-Phase-Matched Crystals,” Journal of Nonlinear Optical Physics & Materials 12, 447, (2003).
[Crossref]

M. Katz, D. Eger, H. Kim, L. Jankovic, G. Stegeman, Silvia 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]

H. Kim, L. Jankovic, G. Stegeman, S. Carrasco, L. Torner, D. Eger, and M. Katz, “Quadratic Spatial Solitons in Periodically Poled KTiOPO4,” Opt. Lett. 28, 640 (2003).
[Crossref] [PubMed]

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]

A. Englander, R. Lavi, M. Katz, M. Oron, D. Eger, E. Lebiush, G. Rosenman, and A. Skliar, “Highly efficient doubling of a high-repetition-rate diode-pumped laser with bulk periodically poled KTP,” Opt. Lett. 22, 1598 (1997).
[Crossref]

Kermene, V.

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]

H. Kim, L. Jankovic, G. Stegeman, S. Carrasco, L. Torner, D. Eger, and M. Katz, “Quadratic Spatial Solitons in Periodically Poled KTiOPO4,” Opt. Lett. 28, 640 (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]

G. I. Stegeman, L. Jankovic, H. Kim, S. Polyakov, S. Carrasco, L. Torner, Ch. Bosshard, P. Gunter, M. Katz, and D. Eger, “Generation of, and Interactions Between Quadratic Spatial Solitons in Non-Critically-Phase-Matched Crystals,” Journal of Nonlinear Optical Physics & Materials 12, 447, (2003).
[Crossref]

M. Katz, D. Eger, H. Kim, L. Jankovic, G. Stegeman, Silvia 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]

L. Jankovic, H. Kim, S. Polyakov, G. I. Stegeman, Ch. Bosshard, and P. Gunter, “Soliton Birth In Quadratic Spatial Soliton Collisions,” Opt. Lett. 28,1037 (2003).
[Crossref] [PubMed]

Kivshar, Y.

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

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

Lange, C. H.

Lavi, R.

Leaird, D. E.

Lebiush, E.

Lederer, F.

E. A. Ultanir, G. I. Stegeman, C. H. Lange, and F. Lederer, “Interactions of Dissipative Spatial Solitons,” Opt. Lett. 29, 283 (2004).
[Crossref] [PubMed]

C. Etrich, U. Peschel, F. Lederer, and B. Malomed, “Collisions of solitary waves in media with a second order nonlinearity,” Phys. Rev. B 52, R3444 (1995).

C. Etrich, F. Lederer, B.A. Malomed, T. Peschel, and U. Peschel, “Progress in Optics”, E. Wolf editor (Elsevier, New York, 2000) Vol. 41, pp. 483–568.

Malendevich, R.

Malomed, B.

C. Etrich, U. Peschel, F. Lederer, and B. Malomed, “Collisions of solitary waves in media with a second order nonlinearity,” Phys. Rev. B 52, R3444 (1995).

Malomed, B.A.

C. Etrich, F. Lederer, B.A. Malomed, T. Peschel, and U. Peschel, “Progress in Optics”, E. Wolf editor (Elsevier, New York, 2000) Vol. 41, pp. 483–568.

Mazilu, D.

similar to the case discussed inL. Torner, D. Mihalache, D. Mazilu, E. M. Wright, W. E. Torruellas, and G. I. Stegeman, “Stationary trapping of light beams in bulk second-order nonlinear media,” Opt. Commun. 121, 149 (1995).
[Crossref]

Meier, J.

J. Meier, G. I. Stegeman, Y. Silberberg, R. Morandotti, and J.S. Aitchison, “Nonlinear Optical Beam Interactions In Waveguide Arrays,” Phys. Rev. Lett. in press

Menyuk, C. 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]

Mihalache, D.

similar to the case discussed inL. Torner, D. Mihalache, D. Mazilu, E. M. Wright, W. E. Torruellas, and G. I. Stegeman, “Stationary trapping of light beams in bulk second-order nonlinear media,” Opt. Commun. 121, 149 (1995).
[Crossref]

Morandotti, R.

J. Meier, G. I. Stegeman, Y. Silberberg, R. Morandotti, and J.S. Aitchison, “Nonlinear Optical Beam Interactions In Waveguide Arrays,” Phys. Rev. Lett. in press

Oliver, M. K.

Oron, M.

Peccianti, M.

Peschel, T.

C. Etrich, F. Lederer, B.A. Malomed, T. Peschel, and U. Peschel, “Progress in Optics”, E. Wolf editor (Elsevier, New York, 2000) Vol. 41, pp. 483–568.

Peschel, U.

C. Etrich, U. Peschel, F. Lederer, and B. Malomed, “Collisions of solitary waves in media with a second order nonlinearity,” Phys. Rev. B 52, R3444 (1995).

C. Etrich, F. Lederer, B.A. Malomed, T. Peschel, and U. Peschel, “Progress in Optics”, E. Wolf editor (Elsevier, New York, 2000) Vol. 41, pp. 483–568.

Polyakov, S.

Rosenman, G.

Ross, G. W.

Schiek, R.

R. Schiek, Y. Baek, G. Stegeman, and W. Sohler, “Interactions between one dimensional quadratic soliton-like beams,” Opt. Quant. Elect. 30, 861 (1998).
[Crossref]

Segev, M.

Shih, M.F.

Silberberg, Y.

J. S. Aitchison, A. M. Weiner, Y. Silberberg, D. E. Leaird, M. K. Oliver, J. L. Jackel, and P. W. Smith, “Experimental observation of spatial soliton interactions,” Opt. Lett. 16, 15 (1991).
[Crossref] [PubMed]

J. Meier, G. I. Stegeman, Y. Silberberg, R. Morandotti, and J.S. Aitchison, “Nonlinear Optical Beam Interactions In Waveguide Arrays,” Phys. Rev. Lett. in press

Simos, C.

Skliar, A.

Skryabin, D.

A. V. Buryak, P. Di Trapani, D. Skryabin, and S. Trillo, “Optical solitons due to quadratic nonlinearities: from basic physics to futuristic Applications,” Phys. Rep. 370, 63 (2002).
[Crossref]

Smith, P. G. R.

Smith, P. W.

Sohler, W.

R. Schiek, Y. Baek, G. Stegeman, and W. Sohler, “Interactions between one dimensional quadratic soliton-like beams,” Opt. Quant. Elect. 30, 861 (1998).
[Crossref]

Stegeman, G.

Stegeman, G. I.

E. A. Ultanir, G. I. Stegeman, C. H. Lange, and F. Lederer, “Interactions of Dissipative Spatial Solitons,” Opt. Lett. 29, 283 (2004).
[Crossref] [PubMed]

L. Jankovic, H. Kim, S. Polyakov, G. I. Stegeman, Ch. Bosshard, and P. Gunter, “Soliton Birth In Quadratic Spatial Soliton Collisions,” Opt. Lett. 28,1037 (2003).
[Crossref] [PubMed]

G. I. Stegeman, L. Jankovic, H. Kim, S. Polyakov, S. Carrasco, L. Torner, Ch. Bosshard, P. Gunter, M. Katz, and D. Eger, “Generation of, and Interactions Between Quadratic Spatial Solitons in Non-Critically-Phase-Matched Crystals,” Journal of Nonlinear Optical Physics & Materials 12, 447, (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]

G. Assanto and G. I. Stegeman, “The Simple Physics of Quadratic Spatial Solitons,” Opt. Exp. 10, 388–96 (2002).
[Crossref]

G. I. Stegeman and M. Segev “Optical Spatial Solitons and Their Interactions: Universality and Diversity,” Science 286, 1518 (1999).
[Crossref] [PubMed]

similar to the case discussed inL. Torner, D. Mihalache, D. Mazilu, E. M. Wright, W. E. Torruellas, and G. I. Stegeman, “Stationary trapping of light beams in bulk second-order nonlinear media,” Opt. Commun. 121, 149 (1995).
[Crossref]

J. Meier, G. I. Stegeman, Y. Silberberg, R. Morandotti, and J.S. Aitchison, “Nonlinear Optical Beam Interactions In Waveguide Arrays,” Phys. Rev. Lett. in press

Stegeman, G.I.

L. Torner and G.I. Stegeman, “Soliton Evolution in Quasi-Phase-Matched Second-Harmonic Generation,” JOSA B (special issue) 14, 3127 (1997).

R.A. Fuerst, M.T.G. Canva, D. Baboiu, and G.I. Stegeman, “Properties of Type II Quadratic Solitons Excited by Unbalanced Fundamental Waves,” Opt. Lett. 22, 1748 (1997).
[Crossref]

G.I. Stegeman, D.J. Hagan, and L. Torner, “χ(2) Cascading Phenomena and Their Applications to All-Optical Signal Processing, Mode-Locking, Pulse Compression and Solitons,” J. Optical and Quant. Electron. 28, 1691 (1996).
[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]

D.-M. Baboiu, G.I. Stegeman, and L. Torner, “Collision of solitary waves in quadratic media,” Opt. Lett. 20, 2282 (1995).
[Crossref] [PubMed]

L. Torner, C. R. Menyuk, and G.I. Stegeman, “Excitation of soliton-like waves with cascaded nonlinearities,” Opt. Lett. 19, 1615 (1994).
[Crossref] [PubMed]

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

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

G.I. Stegeman, “Experiments on Quadratic Solitons”, book chapter for Proceedings of NATO Advanced Research Workshop on “Soliton Driven Photonics”,A.D. Boardman and A.P. Sukhorukov editors, (Kluwer Academic Publishers, Holland, 2001), pp 21–39.

Sukhorukov, A. P.

Y. N. Karamzin and A. P. Sukhorukov“Nonlinear interaction of diffracted light beams in a medium with quadratic nonlinearity: mutual focusing of beams and limitation on the efficiency of optical frequency convertors,” JETP Lett.20, 339 (1974);Yu.N. Karamzin and A.P. Sukhorukov, “Mutual focusing of high-power light beams in media with quadratic nonlinearity,” Zh. Eksp. Teor. Phys.68, 834 (1975) (Sov. Phys.-JETP41, 414 (1976)).

Sukhorukov, A.P.

Y. N. Karamzin and A. P. Sukhorukov“Nonlinear interaction of diffracted light beams in a medium with quadratic nonlinearity: mutual focusing of beams and limitation on the efficiency of optical frequency convertors,” JETP Lett.20, 339 (1974);Yu.N. Karamzin and A.P. Sukhorukov, “Mutual focusing of high-power light beams in media with quadratic nonlinearity,” Zh. Eksp. Teor. Phys.68, 834 (1975) (Sov. Phys.-JETP41, 414 (1976)).

Torner, L.

M. Katz, D. Eger, H. Kim, L. Jankovic, G. Stegeman, Silvia 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]

G. I. Stegeman, L. Jankovic, H. Kim, S. Polyakov, S. Carrasco, L. Torner, Ch. Bosshard, P. Gunter, M. Katz, and D. Eger, “Generation of, and Interactions Between Quadratic Spatial Solitons in Non-Critically-Phase-Matched Crystals,” Journal of Nonlinear Optical Physics & Materials 12, 447, (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]

H. Kim, L. Jankovic, G. Stegeman, S. Carrasco, L. Torner, D. Eger, and M. Katz, “Quadratic Spatial Solitons in Periodically Poled KTiOPO4,” Opt. Lett. 28, 640 (2003).
[Crossref] [PubMed]

L. Jankovic, S. Polyakov, G. Stegeman, S. Carrasco, L. Torner, C. Bosshard, and P. Gunter, “Complex soliton-like pattern generation in Potassium Niobate due to noisy, high intensity, input beams,” Opt. Express 11, 2206 (2003).
[Crossref] [PubMed]

L. Torner and G.I. Stegeman, “Soliton Evolution in Quasi-Phase-Matched Second-Harmonic Generation,” JOSA B (special issue) 14, 3127 (1997).

G.I. Stegeman, D.J. Hagan, and L. Torner, “χ(2) Cascading Phenomena and Their Applications to All-Optical Signal Processing, Mode-Locking, Pulse Compression and Solitons,” J. Optical and Quant. Electron. 28, 1691 (1996).
[Crossref]

similar to the case discussed inL. Torner, D. Mihalache, D. Mazilu, E. M. Wright, W. E. Torruellas, and G. I. Stegeman, “Stationary trapping of light beams in bulk second-order nonlinear media,” Opt. Commun. 121, 149 (1995).
[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]

D.-M. Baboiu, G.I. Stegeman, and L. Torner, “Collision of solitary waves in quadratic media,” Opt. Lett. 20, 2282 (1995).
[Crossref] [PubMed]

L. Torner, C. R. Menyuk, and G.I. Stegeman, “Excitation of soliton-like waves with cascaded nonlinearities,” Opt. Lett. 19, 1615 (1994).
[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]

Torruellas, W.

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

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

Torruellas, W. E.

similar to the case discussed inL. Torner, D. Mihalache, D. Mazilu, E. M. Wright, W. E. Torruellas, and G. I. Stegeman, “Stationary trapping of light beams in bulk second-order nonlinear media,” Opt. Commun. 121, 149 (1995).
[Crossref]

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]

Trillo, S.

A. V. Buryak, P. Di Trapani, D. Skryabin, and S. Trillo, “Optical solitons due to quadratic nonlinearities: from basic physics to futuristic Applications,” Phys. Rep. 370, 63 (2002).
[Crossref]

Ultanir, E. A.

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]

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]

Weiner, A. M.

Wright, E. M.

similar to the case discussed inL. Torner, D. Mihalache, D. Mazilu, E. M. Wright, W. E. Torruellas, and G. I. Stegeman, “Stationary trapping of light beams in bulk second-order nonlinear media,” Opt. Commun. 121, 149 (1995).
[Crossref]

J. Appl. Phys. (1)

M. Katz, D. Eger, H. Kim, L. Jankovic, G. Stegeman, Silvia 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 (1)

J. Optical and Quant. Electron. (1)

G.I. Stegeman, D.J. Hagan, and L. Torner, “χ(2) Cascading Phenomena and Their Applications to All-Optical Signal Processing, Mode-Locking, Pulse Compression and Solitons,” J. Optical and Quant. Electron. 28, 1691 (1996).
[Crossref]

JOSA B (special issue) (1)

L. Torner and G.I. Stegeman, “Soliton Evolution in Quasi-Phase-Matched Second-Harmonic Generation,” JOSA B (special issue) 14, 3127 (1997).

Journal of Nonlinear Optical Physics & Materials (1)

G. I. Stegeman, L. Jankovic, H. Kim, S. Polyakov, S. Carrasco, L. Torner, Ch. Bosshard, P. Gunter, M. Katz, and D. Eger, “Generation of, and Interactions Between Quadratic Spatial Solitons in Non-Critically-Phase-Matched Crystals,” Journal of Nonlinear Optical Physics & Materials 12, 447, (2003).
[Crossref]

Opt. Commun. (1)

similar to the case discussed inL. Torner, D. Mihalache, D. Mazilu, E. M. Wright, W. E. Torruellas, and G. I. Stegeman, “Stationary trapping of light beams in bulk second-order nonlinear media,” Opt. Commun. 121, 149 (1995).
[Crossref]

Opt. Exp. (1)

G. Assanto and G. I. Stegeman, “The Simple Physics of Quadratic Spatial Solitons,” Opt. Exp. 10, 388–96 (2002).
[Crossref]

Opt. Express (2)

Opt. Lett. (13)

B. Constantini, C. De Angelis, A. Barthelemy, B. Bourliaguet, and V. Kermene, “Collisions between Type-II two dimensional quadratic solitons,” Opt. Lett. 23, 424 (1998).
[Crossref]

R. Malendevich, L. Jankovic, S. Polyakov, R. Fuerst, G. 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]

L. Jankovic, H. Kim, S. Polyakov, G. I. Stegeman, Ch. Bosshard, and P. Gunter, “Soliton Birth In Quadratic Spatial Soliton Collisions,” Opt. Lett. 28,1037 (2003).
[Crossref] [PubMed]

J. S. Aitchison, A. M. Weiner, Y. Silberberg, D. E. Leaird, M. K. Oliver, J. L. Jackel, and P. W. Smith, “Experimental observation of spatial soliton interactions,” Opt. Lett. 16, 15 (1991).
[Crossref] [PubMed]

for exampleM.F. Shih and M. Segev, “Incoherent collisions between two-dimensional bright steady-state photorefractive spatial screening solitons,” Opt. Lett. 21, 1538 (1996).
[Crossref] [PubMed]

M. Peccianti, K. A. Brzdakiewicz, and G. Assanto, “Nonlocal spatial soliton interactions in nematic liquid crystals,” Opt. Lett. 27, 1460 (2002).
[Crossref]

E. A. Ultanir, G. I. Stegeman, C. H. Lange, and F. Lederer, “Interactions of Dissipative Spatial Solitons,” Opt. Lett. 29, 283 (2004).
[Crossref] [PubMed]

L. Torner, C. R. Menyuk, and G.I. Stegeman, “Excitation of soliton-like waves with cascaded nonlinearities,” Opt. Lett. 19, 1615 (1994).
[Crossref] [PubMed]

R.A. Fuerst, M.T.G. Canva, D. Baboiu, and G.I. Stegeman, “Properties of Type II Quadratic Solitons Excited by Unbalanced Fundamental Waves,” Opt. Lett. 22, 1748 (1997).
[Crossref]

A. Englander, R. Lavi, M. Katz, M. Oron, D. Eger, E. Lebiush, G. Rosenman, and A. Skliar, “Highly efficient doubling of a high-repetition-rate diode-pumped laser with bulk periodically poled KTP,” Opt. Lett. 22, 1598 (1997).
[Crossref]

D.-M. Baboiu, G.I. Stegeman, and L. Torner, “Collision of solitary waves in quadratic media,” Opt. Lett. 20, 2282 (1995).
[Crossref] [PubMed]

B. Bourliaguet, V. Couderc, A. Barthelemy, G. W. Ross, P. G. R. Smith, D. C. Hanna, and C. De Angelis, “Observation of Quadratic Spatial Solitons in Periodically Poled Lithium Niobate,” Opt. Lett. 24, 1410 (1999).
[Crossref]

H. Kim, L. Jankovic, G. Stegeman, S. Carrasco, L. Torner, D. Eger, and M. Katz, “Quadratic Spatial Solitons in Periodically Poled KTiOPO4,” Opt. Lett. 28, 640 (2003).
[Crossref] [PubMed]

Opt. Quant. Elect. (1)

R. Schiek, Y. Baek, G. Stegeman, and W. Sohler, “Interactions between one dimensional quadratic soliton-like beams,” Opt. Quant. Elect. 30, 861 (1998).
[Crossref]

Phys. Rep. (1)

A. V. Buryak, P. Di Trapani, D. Skryabin, and S. Trillo, “Optical solitons due to quadratic nonlinearities: from basic physics to futuristic Applications,” Phys. Rep. 370, 63 (2002).
[Crossref]

Phys. Rev. B (1)

C. Etrich, U. Peschel, F. Lederer, and B. Malomed, “Collisions of solitary waves in media with a second order nonlinearity,” Phys. Rev. B 52, R3444 (1995).

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. (1)

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]

Science (1)

G. I. Stegeman and M. Segev “Optical Spatial Solitons and Their Interactions: Universality and Diversity,” Science 286, 1518 (1999).
[Crossref] [PubMed]

Other (6)

G.I. Stegeman, “Experiments on Quadratic Solitons”, book chapter for Proceedings of NATO Advanced Research Workshop on “Soliton Driven Photonics”,A.D. Boardman and A.P. Sukhorukov editors, (Kluwer Academic Publishers, Holland, 2001), pp 21–39.

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

C. Etrich, F. Lederer, B.A. Malomed, T. Peschel, and U. Peschel, “Progress in Optics”, E. Wolf editor (Elsevier, New York, 2000) Vol. 41, pp. 483–568.

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

J. Meier, G. I. Stegeman, Y. Silberberg, R. Morandotti, and J.S. Aitchison, “Nonlinear Optical Beam Interactions In Waveguide Arrays,” Phys. Rev. Lett. in press

Y. N. Karamzin and A. P. Sukhorukov“Nonlinear interaction of diffracted light beams in a medium with quadratic nonlinearity: mutual focusing of beams and limitation on the efficiency of optical frequency convertors,” JETP Lett.20, 339 (1974);Yu.N. Karamzin and A.P. Sukhorukov, “Mutual focusing of high-power light beams in media with quadratic nonlinearity,” Zh. Eksp. Teor. Phys.68, 834 (1975) (Sov. Phys.-JETP41, 414 (1976)).

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 (13)

Fig. 1.
Fig. 1.

The experimental set-up used to investigate quadratic soliton collisions.

Fig. 2.
Fig. 2.

Interaction geometries (a) The collision point. (b) The interaction region.

Fig. 3.
Fig. 3.

Collage of output beam patterns obtained from quadratic solitons colliding at distances of 4.1mm (upper set) and 6.6mm (lower set) into the sample for eight different phase differences between the input FW beams.

Fig. 4.
Fig. 4.

Output beam patterns for solitons colliding 7.5mm from the input facet at a 0.440 angle, for various relative phases between the input FW beams.

Fig. 5.
Fig. 5.

Threshold soliton intensity versus sample temperature (corresponds to phase-mismatch).

Fig. 6.
Fig. 6.

Dependence of the output patterns versus relative input FW phase at phase-match (upper set) and a phase-mismatch of 3.5π. Input soliton intensities were 5.2 GW/cm2 and 8.0 GW/cm2 respectively, both at 1.7x the threshold intensity.

Fig. 7.
Fig. 7.

Collage of output beam patterns obtained for a collision angle of 0.40 for different phase-mismatch. Here the PM temperature corresponds to 43.60.

Fig. 8.
Fig. 8.

(a) Separation of output beams versus phase-mismatch (and temperature) for π relative phase between the two FW input beams. (b) Separation between the output solitons at various input intensities obtained from numerical simulations of soliton collision processes. The initial relative phase between the beams was fixed at π.

Fig. 9.
Fig. 9.

Numerical simulations of the soliton collisions at different intensities and phase mismatch. FW beam profile is shown only.

Fig. 10.
Fig. 10.

Output beam separation as a function of relative phase between the two FW input beams for a number of different temperatures, i.e. phase-mismatch.

Fig. 11.
Fig. 11.

Collage of output beam patterns for a variety of relative FW beam input phases and incidence angles.

Fig. 12.
Fig. 12.

Output beam (soliton) separation versus the relative FW input phase for three different incidence angles at phase-match.

Fig. 13.
Fig. 13.

FW and SHG output intensity as function of the relative phase for three phase matching conditions.

Metrics