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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Vol. 19, Iss. 4 — Apr. 1, 2002
  • pp: 832–838

Spatial solitons in a photorefractive medium sustaining second-harmonic generation

A. D. Boardman, W. Ilecki, and Y. Liu  »View Author Affiliations

JOSA B, Vol. 19, Issue 4, pp. 832-838 (2002)

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Second-harmonic generation in a photorefractive crystal is investigated. It is shown that a fundamental wave that is not in the photorefractive regime can be locked onto a second harmonic, creating a photorefractive effect. This locked state can be manipulated by another harmonic beam to suggest some scanning and routing applications. An interesting split-field method is used to account for the soliton dynamics in a (1+1)D configuration. Numerical simulations are used to confirm analytical results for this case.

© 2002 Optical Society of America

A. D. Boardman, W. Ilecki, and Y. Liu, "Spatial solitons in a photorefractive medium sustaining second-harmonic generation," J. Opt. Soc. Am. B 19, 832-838 (2002)

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  1. V. L. Vinetskii, N. Kukhtarev, S. G. Odulov, and M. S. Soskin, “Dynamic self-diffraction of coherent light beams,” Sov. Phys. Usp. 22, 742–756 (1979). [CrossRef]
  2. M. Segev, G. C. Valley, B. Crosignani, P. Diporto, and A. Yariv, “Steady-state spatial screening solitons in photorefractive materials with external applied-field,” Phys. Rev. Lett. 73, 3211–3214 (1994). [CrossRef] [PubMed]
  3. D. N. Christodoulides and M. I. Carvalho, “Bright, dark, and gray spatial soliton states in photorefractive media,” J. Opt. Soc. Am. B 12, 1628–1633 (1995). [CrossRef]
  4. K. Kos, H. X. Meng, G. Salamo, M. F. Shih, M. Segev, and G. C. Valley, “One-dimensional steady-state photorefractive screening solitons,” Phys. Rev. E 53, R4330–4336 (1996). [CrossRef]
  5. M. F. Shih, P. Leach, M. Segev, M. H. Garrett, G. Salamo, and G. C. Valley, “Two-dimensional steady-state photorefractive screening solitons,” Opt. Lett. 21, 324–326 (1996). [CrossRef] [PubMed]
  6. A. D. Boardman, P. Bontemps, W. Ilecki, and A. Zharov, “Theoretical demonstration of beam scanning and switching using spatial solitons in a photorefractive crystal,” J. Mod. Opt. 47, 1941–1957 (2000). [CrossRef]
  7. M. Morin, G. Duree, G. Salamo, and M. Segev, Opt. Lett. 20, 2066–2068 (1995). [CrossRef] [PubMed]
  8. 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 converters,” Sov. Phys. JETP Lett. 20, 339–342 (1974).
  9. R. Desalvo, D. J. Hagan, M. Sheik-Bahae, and G. Stegeman, “Self-focusing and self-defocusing by cascaded second-order effect in KTP,” Opt. Lett. 17, 28–30 (1992). [CrossRef] [PubMed]
  10. G. Assanto, G. Stegeman, M. Sheik-Bahae, and E. Van Stryland, “All-optical switching devices based on large nonlinear phase shifts from second harmonic generation,” Appl. Phys. Lett. 62, 1323–1325 (1993). [CrossRef]
  11. A. V. Buryak and Y. S. Kivshar, “Spatial optical solitons governed by quadratic nonlinearity,” Opt. Lett. 19, 1612–1614 (1994). [CrossRef] [PubMed]
  12. A. D. Boardman, K. Xie, and A. Sangarpaul, “Stability of scalar spatial solitons in cascadable nonlinear media,” Phys. Rev. A 52, 4099–4106 (1995). [CrossRef] [PubMed]
  13. G. Assanto, K. Gallo, and C. Conti, Advanced Photonics with Second-order Optically Nonlinear Processes, Vol. 61 of NATO ASI Series (Kluwer Academic, Dordrecht, The Netherlands, 1998).
  14. A. D. Boardman, P. Bontemps, and K. Xie, “Transverse modulation instability of vector optical beams in quadratic nonlinear media,” J. Opt. Soc. Am. B 14, 3119–3126 (1997). [CrossRef]
  15. S. Lan, M. F. Shih, G. Mizell, J. A. Giordmaine, Z. Chen, C. Anastassiou, J. Martin, and M. Segev, “Second-harmonic generation in waveguides induced by photorefractive spatial solitons,” Opt. Lett. 24, 1145–1147 (1999). [CrossRef]
  16. S. Lan, C. Anastassiou, M. Segev, M. Shih, J. A. Giordmaine, and G. Mizell, “Tuning of second-harmonic generation in waveguides induced by photorefractive spatial solitons,” Appl. Phys. Lett. 77, 2101 (2000). [CrossRef]
  17. G. P. Agrawal, Nonlinear Fiber Optics (Academic, San Diego, Calif., 1989).
  18. S. Trillo and P. Ferro, “Modulational instability in second-harmonic generation,” Opt. Lett. 20, 438–440 (1995). [CrossRef] [PubMed]
  19. A. D. Boardman, P. Bontemps, and K. Xie, “Vector solitary optical beam control with mixed type I, type II second harmonic generation,” Opt. Quantum Electron. 30, 891–905 (1998). [CrossRef]
  20. S. Trillo, A. V. Buryak, and Y. S. Kivshar, “Modulational instabilities and optical solitons due to competition of χ(2) and χ(3) nonlinearities,” Opt. Commun. 122, 200–211 (1996). [CrossRef]
  21. M. L. Lyra and A. S. Gouveia-Neto, “Saturation effects on modulational instability in non-Kerr-like monomode optical fibers,” Opt. Commun. 108, 117–121 (1994). [CrossRef]
  22. J. M. Hickman, S. B. Cavalcanti, N. M. Borges, E. A. Gouveia, and A. S. Gouveia-Neto, “Modulational instability in semiconductor-doped glass fibers with saturable nonlinearity,” Opt. Commun. 18, 182–184 (1993).
  23. Y. M. Aliev, A. D. Boardman, A. I. Smirnov, K. Xie, and A. A. Zharov, “Spatial dynamics of solitonlike channels near interfaces between optically linear and nonlinear media,” Phys. Rev. E 53, 5409–5419 (1996). [CrossRef]
  24. R. Uzdin, M. Segev, and G. Salamo, “Theory of self-focusing and self-defocusing in photorefractive InP,” in Nonlinear Guided Waves and Their Applications, Vol. 55 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2001), p. 58.
  25. M. Segev, M. Shih, and G. Valley, “Photorefractive screening solitons of high and low intensity,” J. Opt. Soc. Am. B 13, 706–718 (1996). [CrossRef]

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