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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 4 — Feb. 16, 2009
  • pp: 2287–2297

Separate spatial Holographic-Hamiltonian soliton pairs and solitons interaction in an unbiased series photorefractive crystal circuit

Xin Cai, Jinsong Liu, and Shenglie Wang  »View Author Affiliations

Optics Express, Vol. 17, Issue 4, pp. 2287-2297 (2009)

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This paper presents calculations for an idea in photorefractive spatial soliton, namely, a dissipative holographic soliton and a Hamiltonian soliton in one dimension form in an unbiased series photorefractive crystal circuit consisting of two photorefractive crystals of which at least one must be photovoltaic. The two solitons are known collectively as a separate Holographic-Hamiltonian spatial soliton pair and there are two types: dark-dark and bright-dark if only one crystal of the circuit is photovoltaic. The numerical results show that the Hamiltonian soliton in a soliton pair can affect the holographic one by the light-induced current whereas the effect of the holographic soliton on the Hamiltonian soliton is too weak to be ignored, i.e., the holographic soliton cannot affect the Hamiltonian one.

© 2009 Optical Society of America

OCIS Codes
(190.0190) Nonlinear optics : Nonlinear optics
(190.5330) Nonlinear optics : Photorefractive optics
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons
(190.7070) Nonlinear optics : Two-wave mixing

ToC Category:
Nonlinear Optics

Original Manuscript: November 19, 2008
Revised Manuscript: December 20, 2008
Manuscript Accepted: January 20, 2009
Published: February 5, 2009

Xin Cai, Jinsong Liu, and Shenglie Wang, "Separate spatial Holographic-Hamiltonian soliton pairs and solitons interaction in an unbiased series photorefractive crystal circuit," Opt. Express 17, 2287-2297 (2009)

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  1. M. Segev, B. Crosignani, A. Yariv, and B. Fischer, "Spatial solitons in photorefractive media," Phys. Rev. Lett. 68, 923-926 (1992). [CrossRef] [PubMed]
  2. G. C. D. Jr., J. L. Shultz, G. J. Salamo,M. Segev, A . Yariv, B . Crosignani, P. D . Porto,E. J . Sharp, andR. R. Neurgaonkar, "Observation of self-trapping of an optical beam due to the photorefractive effect," Phys. Rev. Lett. 71, 533 (1993). [CrossRef]
  3. M. D. I. Castillo, P. A. M. Aguilar, J. J. Sanchez-Mondragon, and S. Stepanov, "Spatial solitons in photorefractive Bi12TiO20 with drift mechanism of nonlinearity," Appl. Phys. Lett. 64, 408-410 (1994). [CrossRef]
  4. 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]
  5. M. Segev, G. C. Valley, B . Crosignani, P. D . Porto, and A. Yariv,"Steady-state spatial screening solitons in photorefractive materials with external applied field," Phys. Rev. Lett 73, 3211-3214 (1994). [CrossRef] [PubMed]
  6. M. F. Shih, M. Segev, G. C. Valley, G. Salamo, B. Crosignai, and P. D. Porto, "Observation of two-dimensional steady-state photorefractive screening solitons " Electron. Lett. 31, 826-827 (1995). [CrossRef]
  7. M. Segev, G. C. Valley, M. C. Bashaw, M. Taya, and M. M. Fejer, "Photovoltaic spatial solitons," J. Opt. Soc. Am. B 14, 1772-1781 (1997). [CrossRef]
  8. W. L. She, K. K. Lee, and W. K. Lee, "Observation of two-dimensional bright photovoltaic spatial solitons " Phys. Rev. Lett. 83, 3182-3185 (1999). [CrossRef]
  9. M. Taya, M. Bashaw, M. M. Fejer, M. Segev, and G. C. Valley, "Observation of dark photovoltaic spatial solitons," Phys. Rev. A 52, 3095-3100 (1995).
  10. G. C. Valley, M. Segev, B. Crosignani, A. Yariv, M. M. Fejer, and M. C. Bashaw, "Dark and bright photovoltaic spatial solitons," Phys. Rev. A 50, R4457-R4460 (1994).
  11. E. Fazio, F. Renzi, R. Rinaldi, M. Bertolotti, M. Chauvet, W. Ramadan, A. Petris, and V. I. Vlad, "Screening-photovoltaic bright solitons in lithium niobate and associated single-mode waveguides," Appl. Phys. Lett. 85, 2193-2195 (2004). [CrossRef]
  12. J. S. Liu and K. Q. Lu, "Screening-photovoltaic spatial solitons in biased photovoltaic-photorefractive crystals and their self-deflection," J. Opt. Soc. Am. B 16, 550-555 (1999). [CrossRef]
  13. O. Cohen, T. Carmon, and M. Segev, "Holographic solitons," Opt. Lett. 27, 2031-2033 (2002). [CrossRef]
  14. J. S. Liu, "Holographic solitons in photorefractive dissipative systems," Opt. Lett. 28, 2237-2239 (2003). [CrossRef] [PubMed]
  15. I. Friedler, G. Kurizki, O. Cohen, and M. Segev, "Spatial Thirring-type solitons via electromagnetically induced transparency," Opt. Lett. 30, 3374-3376 (2005). [CrossRef]
  16. B. Freedman, O. Cohen, O. Manela, M. Segev, J. W. Fleischer, and D. N. Christodoulides, "Grating-mediated wave guiding and holographic solitons," J. Opt. Soc. Am. B 22, 1349-1355 (2005). [CrossRef]
  17. O. Cohen, M. M. Murnane, H. C. Kapteyn, and M. Segev, "Cross-phase-modulation nonlinearities and holographic solitons in periodically poled photovoltaic photorefractives," Opt. Lett. 31, 954-956 (2006). [CrossRef] [PubMed]
  18. J. S. Liu and H. J. Eichler, "Holographic screening-photovoltaic solitons in biased photovoltaic-photorefractive crystals with two-wave mixing," Europhys. Lett. 65, 658-664 (2004). [CrossRef]
  19. J. S. Liu, S. X. Liu, G. Y. Zhang, and C. Wang, "Observation of two-dimensional holographic photovoltaic bright solitons in a photorefractive-photovoltaic crystal," Appl. Phys. Lett. 91, 111113-111115 (2007). [CrossRef]
  20. Z. Chen, M. Segev, T. H. Coskun, D. N. Christodoulides, and Y. S. Kivshar, "Coupled photorefractive spatial-soliton pairs," J. Opt. Soc. Am. B 14, 3066-3077 (1997). [CrossRef]
  21. Z. G. Chen, M. Mitchell, M. Shih, M. Segev, M. H. Garrett, and G. C. Valler, "Steady-state dak photorefractive screening solitons," Opt. Lett. 21, 629-631 (1996). [CrossRef] [PubMed]
  22. D. N. Christodoulides, S. R. Singh, and M. I. Carvalho, "Incoherently coupled soliton pairs in biased photorefractive crystals," Appl. Phys. Lett. 68, 1763-1765 (1996). [CrossRef]
  23. K. Kos, H. X. Meng, G. Salamo, M. Shih, M. Segev, and G. C. Valley, "One-dimensional steady-state photorefractive screening solitons," Phys. Rev. E 53, R4330-R4333 (1996).
  24. Z. Chen, M. Acks, E. A. Ostrovskaya, and Y. S. Kivshar, "Observation of bound states of interacting vector solitons," Opt. Lett. 25, 417-419 (2000). [CrossRef]
  25. W. Krolikowski and S. A. Holmstrom, "Fusion and birth of spatial solitons upon collision," Opt. Lett. 22, 369-371 (1997). [CrossRef] [PubMed]
  26. A. V. Mamaev, M. Saffman, and A. A. Zozulya, "Phase-dependent collisions of (2+1)-dimensional spatial solitons," J. Opt. Soc. Am. B 15, 2079-2082 (1998). [CrossRef]
  27. M. Shih and M. Segev, "Incoherent collisions between two-dimensional bright steady-state photorefractive spatial screening solitons," Opt. Lett. 21, 1538-1540 (1996). [CrossRef] [PubMed]
  28. J. S. Liu, "Separate spatial soliton pairs and solitons interaction in an unbiased series photorefrative crystal circuit," Phys. Lett. A 300, 213-220 (2002). [CrossRef]
  29. J. S. Liu and Z. H. Hao, "Evoluation of separate screening soliton pairs in a biased series photoreftactive crystal cricuit," Phys. Rev. E 65, 066601 (2002).
  30. P. Yeh, "Two-wave mixing in nonlinear media," IEEE J. Quantum Electron. 23, 484-519 (1989). [CrossRef]

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