## Existence and property of spatial solitons in a photorefractive dissipative system

JOSA B, Vol. 20, Issue 8, pp. 1732-1738 (2003)

http://dx.doi.org/10.1364/JOSAB.20.001732

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### Abstract

A dissipative photorefractive system is considered, which consists of a biased photorefractive crystal and a pump beam with a uniform spatial distribution. A signal beam couples coherently with the pump beam by codirectional degenerate two-beam coupling and hence obtains a gain. It is shown that the signal beam can evolve into a steady-state spatial bright (or dark) soliton that is a result of double balance, i.e., loss is balanced by gain, and diffraction is balanced by nonlinearity due to the spatially nonuniform screening of the applied field and to the process of two-beam coupling. Such solitons have fixed amplitude and width for fixed values of system parameters and hence are known as rigid screening (RS) solitons. RS solitons differ from previously observed screening solitons in their properties and physical origin and can exist whether the crystal possesses a focusing or a defocusing nonlinearity. If the pump beam is switched to a background illumination, RS-soliton solutions can reduce to screening-soliton solutions. Numerical simulations show that RS solitons are stable relative to small perturbations.

© 2003 Optical Society of America

**OCIS Codes**

(190.5330) Nonlinear optics : Photorefractive optics

(190.5530) Nonlinear optics : Pulse propagation and temporal solitons

(190.7070) Nonlinear optics : Two-wave mixing

**Citation**

Jinsong Liu, "Existence and property of spatial solitons in a photorefractive dissipative system," J. Opt. Soc. Am. B **20**, 1732-1738 (2003)

http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-20-8-1732

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### References

- 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).
- Z. G. Chen, M. Mitchell, M. Shih, M. Segev, M. H. Garrett, and G. C. Valley, “Steady-state dark photorefractive screening solitons,” Opt. Lett. 21, 629–631 (1996).
- M.-F. Shih, M. Segev, G. C. Valley, G. Salamo, B. Crosignani, and P. Di Porto, “Observation of two-dimensional steady-state photorefractive screening solitons,” Electron. Lett. 31, 826–827 (1995).
- 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).
- M. Segev, M. Shih, and G. C. Valley, “Photorefractive screening solitons of high and low intensity,” J. Opt. Soc. Am. B 13, 706–718 (1996).
- 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).
- 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, 324–326 (1996).
- Jinsong Liu and Keqing Lu, “Screening-photovoltaic spatial solitons in biased photovoltaic-photorefractive crystals and their self-deflection,” J. Opt. Soc. Am. B 16, 550–555 (1999).
- Jinsong Liu, “Universal theory of state-state one-dimensional photorefractive solitons,” Chin. Phys. 10, 1037–1042 (2001).
- Jinsong Liu and Hao Zhonghua, “Higher-order space charge field effects on the evolution of screening-photovoltaic spatial solitons in biased photovoltaic photorefractive crystals,” J. Opt. Soc. Am. B 19, 513–521 (2002).
- Jinsong Liu and Zhonghua Hao, “Evolution of separate screening soliton pairs in a biased series photorefractive crystal circuit,” Phys. Rev. E 65, 066601 (2002).
- R. Singh and D. N. Christodoulides, “Evolution of spatial optical solitons in biased photorefractive media under steady state conditions,” Opt. Commun. 118, 569–576 (1995).
- C. Paré, L. Gagnon, and P.-A. Belangre, “Spatial solitary wave in a weakly saturated amplifying/absorbing medium,” Opt. Commun. 74, 228–232 (1989).
- G. Khitrova, H. M. Gibbs, Y. Kawamura, H. Iwamura, T. Ikegami, J. E. Sipe, and L. Ming, “Spatial solitons in self-focusing gain medium,” Phys. Rev. Lett. 70, 920–923 (1993).
- V. G. Kulushkin, “Gaussian light beam in a lens-like medium with a nonlinear complex susceptibility,” Sov. J. Quantum Electron. 17, 116–117 (1987).
- N. N. Akhmediev and V. V. Afanasjev, “Solitons of the complex Ginzburg–Landau equation,” in Spatial Solitons, S. Trillo and W. Torruellas, eds. (Springer, Berlin, 2001).
- N. N. Akhmediev, V. V. Afanasjev, and J. M. Soto-Crespo, “Singularities and special soliton solutions of the cubic-quintic complex Ginzburg–Landau equation,” Phys. Rev. E 53, 1190–1201 (1996).
- M. Saffman, D. Montgomery, and D. Z. Anderson, “Collapse of a transverse-mode continuum in a self-imaging photorefractively pumped ring resonator,” Opt. Lett. 19, 518–520 (1994).
- J. M. Soto-Crespo, N. N. Akhmediev, and V. V. Afanasjev, “Stability of the pulselike solutions of the quintic complex Ginzburg–Landau equation,” J. Opt. Soc. Am. B 13, 1439–1449 (1996).
- P. Yeh, “Two-wave mixing in nonlinear media,” IEEE J. Quantum Electron. 25, 484–519 (1989).
- I. Oda, Y. Otani, L. Liu, and T. Yoshizawa, “Polarization effect for vibration detection using photorefractive two-wave mixing in KNSBN:Cu crystal,” Opt. Commun. 148, 95–100 (1998).
- N. Bekki and K. Nozaki, “Exact solution of the generalized Ginzburg–Landau equation,” J. Phys. Soc. Jpn. 53, 1581–1582 (1984).
- J. Petter, C. Weilnau, C. Denz, A. Stepken, and F. Kaiser, “Self-bending of photorefractive solitons,” Opt. Commun. 170, 291–297 (1999).
- Z. G. 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).

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