Propagation of optical beams and the properties of two-dimensional spatial solitons in media with a local saturable nonlinear refractive index

Journal of the Optical Society of America B: Optical Physics

Volumn 14, Issue 7, 1997, Pages 1795-1806

  Gatz, S ^a   Herrmann, J ^a  

^a MAX BORN INSTITUT   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

INTEGRAL EQUATIONS; LIGHT PROPAGATION; NONLINEAR EQUATIONS; NONLINEAR OPTICS; NUMERICAL ANALYSIS; OPTICAL PROPERTIES; OPTICAL SWITCHES; REFRACTIVE INDEX; THREE DIMENSIONAL;

LOCAL SATURABLE NONLINEAR REFRACTIVE INDEX; SOLITARY BEAM DRAGGING; TWO DIMENSIONAL SPATIAL SOLITONS;

SOLITONS;

EID: 0031192516     PISSN: 07403224     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAB.14.001795     Document Type: Article

References (60)

1. V. E. Zakharov and A. B. Shabat, "Exact theory of two-dimensional self-focusing and one-dimensional self-modulation of waves in nonlinear media," Zh. Eksp. Teor. Fiz. 61, 118 (1971) [Sov. Phys. JETP 34, 62 (1972)].
2. V. E. Zakharov and A. B. Shabat, "Exact theory of two-dimensional self-focusing and one-dimensional self-modulation of waves in nonlinear media," Zh. Eksp. Teor. Fiz. 61, 118 (1971) [Sov. Phys. JETP 34, 62 (1972)].
3. S. Maneuf, R. Desailly, and C. Froehly, "Stable self-trapping of laser beams: observation in a nonlinear planar waveguide," Opt. Commun. 65, 193 (1988).
4. For a comprehensive review, see J. H. Marburger, "Self-focusing: theory," Prog. Quantum Electron. 4, 35 (1975).
5. Y. R. Shen, "Self-focusing: experimental," Prog. Quantum Electron. 4, 1 (1975).
6. T. K. Gustafson, P. C. Kelley, B. Y. Chiao, and B. G. Brewer, " Self-trapping in media with saturation of nonlinear index," Appl. Phys. Lett. 12, 165 (1968).
7. J. D. Reichert and W. G. Wagner, " Self-trapped optical beams in liquids," IEEE J. Quantum Electron. QE4, 221 (1968).
8. J. H. Marburger, L. Huff, J. D. Reichert, and W. G. Wagner, "Stationary self-trapping of optical beams in dense media with Lorentz local-field corrections," Phys. Rev. 184, 255 (1968).
9. W. G. Wagner, H. H. Haus, and J. H. Marburger, " Large-scale self-trapping of optical beam in the paraxial ray approximation," Phys. Rev. 175, 256 (1968).
10. J. H. Marburger and E. L. Dawes, "Dynamic formation of a small-scale filament," Phys. Rev. Lett. 21, 556 (1968).
11. E. L. Dawes and J. H. Marburger, "Computer studies in self-focusing," Phys. Rev. 179, 862 (1969).
12. S. N. Vlasov, V. A. Petrishehev, and V. I. Talanov, Radiophys. Quantum Electron. 14, 1062 (1971).
13. B. B. Suydam, "Self-focusing of very powerful laser beams. II," IEEE J. Quantum Electron. QE-10, 837 (1974).
14. J. F. Lam, B. Lippmann, and F. Tappert, "Moment theory of self-trapped laser beams with nonlinear saturation," Opt. Commun. 15, 419 (1975).
15. M. Karlson, "Optical beams in saturable self-focusing media," Phys. Rev. A 46, 2726 (1992).
16. V. Koono and H. Suzuki, Phys. Scr. 20, 382 (1979).
17. J. M. Soto-Crespo, E. M. Wright, and N. N. Akhmediev, "Recurrence and azimuthal-symmetry breaking of a cylindrical Gaussian beam in a saturable self-focusing medium," Phys. Rev. A 45, 3168 (1992).
18. D. Grishkowsky, "Self-focusing of light in potassium vapor," Phys. Rev. Lett. 24, 868 (1970).
19. J. E. Bjorkholm and A. Ashkin, "Cw self-focusing and self-trapping of light in sodium vapor," Phys. Rev. Lett. 32, 129 (1974).
20. C. E. Max, J. Arons, and A. B. Langdon, "Self-modulation and self-focusing of electromagnetic waves in plasmas," Phys. Rev. Lett. 33, 209 (1974).
21. A. B. Borisov, A. V. Borovskij, O. B. Shiryaev, V. V. Korobkin, A. M. Prokhorov, I. C. Solem, T. S. Luk, K. Boyer, and C. K. Rhodes, "Relativistic charge-displacement self-channeling of intense ultrashort laser pulses in plasmas," Phys. Rev. A 45, 5830 (1992).
22. A. B. Borisov, A. V. Borovskij, V. V. Korobkin, A. M. Prokhorov, O. B. Shiryaev, X. M. Shi, T. S. Luk, A. McPherson, I. C. Solem, K. Boyer, and C. K. Rhodes, "Observation of relativistic and charge displacement self-channeling of intense subpicosecond UV-radiation in plasmas," Phys. Rev. Lett. 68, 2309 (1992).
23. P. Monot, T. Auguste, P. Gibbon, F. Jakober, G. Mainfray, A. Duliev, M. Louis-Jacquet, G. Malka, and I. L. Miguel, "Experimental demonstration of relativistic self-channeling of a multiterrawatt laser pulse in an underdence plasma," Phys. Rev. Lett. 74, 2953 (1995).
24. A. Braun, G. Korn, X. Liu, D. Du, J. Squier, and G. Mourou, "Self-channeling of high-peak-power femtosecond laser pulses in air," Opt. Lett. 20, 73 (1995).
25. S. Henz and J. Herrmann, "Two-dimensional spatial optical solitons in bulk Kerr-media stabilized by self-induced photoionization," Phys. Rev. E 53, 4092 (1996).
26. K. N. Karamzin and A. P. Sukhorukov, Pisma Zh. Eksp. Teor. Fiz. 20, 774 (1974) [JETP Lett. 20, 339 (1974)].
27. K. N. Karamzin and A. P. Sukhorukov, Pisma Zh. Eksp. Teor. Fiz. 20, 774 (1974) [JETP Lett. 20, 339 (1974)].
28. K. Hayata and M. Koshiba, "Multidimensional solitons in quadratic nonlinear medium," Phys. Rev. Lett. 71, 3275 (1993).
29. W. Torruellas, Z. Wang, D. J. Hagan, E. W. van Stryland, 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).
30. M. Segev, B. Crosignani, A. Yariv, and B. Fischer, "Spatial solitons in photorefractive media," Phys. Rev. Lett. 68, 923 (1992).
31. G. Duree, J. L. Shultz, G. Salamo, M. Segev, A. Yariv, B. Crosignani, P. Di Porto, E. J. Sharp, and R. R. Neurgaonkar, "Observation of self-trapping of an optical beam due to the photorefractive effect," Phys. Rev. Lett. 71, 533 (1993).
32. 20 with drift mechanism of nonlinearity," Appl. Phys. Lett. 64, 408 (1994).
33. M. Segev, G. C. Valley, B. Crosignani, D. Di Porto, and A. Yariv, "Steady-state spatial screening solitons in photorefractive materials with external applied field," Phys. Rev. Lett. 73, 3211 (1994).
34. M. Shih, M. Segev, G. C. Valley, G. Salamo, B. Crosignani, and D. Di Porto, "Observation of two-dimensional steady-state photorefractive screening solitons," Electron. Lett. 31, 826 (1995).
35. M. Shih, P. Leach, M. Segev, M. H. Garrett, G. Salamo, and G. C. Valley, "Two-dimensional steady-state photorefractive screening solitons," Opt. Lett. 21, 324 (1996).
36. M. Shih, M. Segev, and G. Salamo, "Circular waveguides induced by two-dimensional bright steady-state photorefractive partial screening solitons," Opt. Lett. 21, 1 (1996).
37. G. C. Valley, M. Segev, B. Crosignani, A. Yariv, M. M. Fejer, and M. Bashaw, "Dark and bright photovoltaic spatial solitons," Phys. Rev. A 50, R4457 (1994).
38. D. N. Christodoulides and M. I. Carvalho, "Bright, dark, and gray spatial soliton states in photorefractive media," J. Opt. Soc. Am. B 12, 1628 (1995).
39. S. Gatz and J. Herrmann, "Soliton propagation in materials with saturable nonlinearity," J. Opt. Soc. Am. B 8, 2296 (1991).
40. S. Gatz and J. Herrmann, "Propagation, collision and fusion of spatial optical solitons in three-dimensional media with saturable nonlinear refractive index change," in Quantum Electronics and Laser Science Conference (QELS'96), Vol. 10 of 1996 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1996), p. 210.
41. E. W. Wright, B. L. Lawrence, W. Torruellas, and G. Stegeman, "Stable self-trapping and ring formation in polydiacetylene para-toluene sulfonate," Opt. Lett. 20, 2481 (1995).
42. A. Zozulya and D. Anderson, "Propagation of an optical beam in a photorefractive medium in the presence of a photogalvanic nonlinearity or an externally applied electric field," Phys. Rev. A 51, 1520 (1995).
43. 20 crystals," Opt. Commun. 123, 592 (1996).
44. N. Kuktarev, Sov. Tech. Phys. Lett. 2, 438 (1976).
45. P. Günter and J.-P. Huignard, eds., Photorefractive Materials and their Application (Springer-Verlag, New York, 1988).
46. S. R. Singh, M. I. Carvalho, and D. N. Christodoulides, "Higher-order space charge field effects on the evolution of spatial solitons in biased photorefractive crystals," Opt. Commun. 130, 288 (1996).
47. M. Segev, G. Valley, M. I. Carvalho, and D. N. Christodoulides "Vector photorefractive spatial solitons," Opt. Lett. 20, 1764 (1995).
48. N. G. Vakhitov and A. A. Kolokolov, "Stability of stationary solutions of nonlinear wave equations," Radiophys. Quantum Electron. 16, 783 (1975).
49. For a comprehensive review article, see J. J. Rasmussen and K. Rypdal, "Blow up in nonlinear Schrödinger equations: a general review," Phys. Scr. 33, 491 (1986).
50. J. Herrmann, "Bistable bright solitons in dispersive media with a linear and quadratic intensity-depending refraction index change," Opt. Commun. 87, 161 (1992).
51. S. Gatz and J. Herrmann, "Soliton collision and soliton fusion in dispersive materials with a linear and quadratic intensity depending refraction index change," IEEE J. Quantum Electron. 28, 1732 (1992).
52. S. Gatz and J. Herrmann, "Soliton propagation and soliton collision in double-doped fibers with a non-Kerr-like nonlinear refractive-index change," Opt. Lett. 17, 484 (1992).
53. D. M. Babiou, G. I. Stegeman, and L. Torner, "Interaction of one-dimensional bright solitary waves in quadratic media," Opt. Lett. 20, 2282 (1995).
54. V. Tikhonenko, J. Christov, and B. Luther-Davies, "Three-dimensional bright spatial soliton collision and fusion in a saturable nonlinear medium," Phys. Rev. Lett. 76, 2698 (1996).
55. M. Shih, P. Leach, M. Segev, M. H. Garrett, G. Salomo, and G. C. Valley, "Two-dimensional steady-state photorefractive screening solitons and induced waveguides," in Quantum Electronics and Laser Science Conference (QELS'96) Vol. 10 of 1996 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1996), p. 209.
56. M. N. Islam, "Ultrafast all-optical logic gates," Opt. Lett. 14, 1257 (1989).
57. M. N. Islam, "All-optical cascadable NOR gate with gain," Opt. Lett. 15, 417 (1990).
58. M. Shalaby and A. Barthelemy, "Experimental spatial soliton trapping and switching," Opt. Lett. 16, 1472 (1991).
59. S. Blair, K. Wagner, and R. McLeod, "Asymmetric spatial soliton dragging," Opt. Lett. 19, 1943 (1994).
60. I. U. Kang, G. I. Stegeman, and J. C. Aitchinson, "One-dimensional spatial soliton dragging, trapping, and all-optical switching in AlGaAs waveguides," Opt. Lett. 21, 189 (1996).