## Ground-state counterpropagating solitons in photorefractive media with saturable nonlinearity |

JOSA B, Vol. 30, Issue 4, pp. 1036-1040 (2013)

http://dx.doi.org/10.1364/JOSAB.30.001036

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### Abstract

We investigate the existence and form of

© 2013 Optical Society of America

**OCIS Codes**

(190.5330) Nonlinear optics : Photorefractive optics

(190.6135) Nonlinear optics : Spatial solitons

**ToC Category:**

Nonlinear Optics

**History**

Original Manuscript: November 27, 2012

Revised Manuscript: January 17, 2013

Manuscript Accepted: February 27, 2013

Published: March 27, 2013

**Citation**

Tai-Chia Lin, Milivoj R. Belić, Milan S. Petrović, Najdan B. Aleksić, and Goong Chen, "Ground-state counterpropagating solitons in photorefractive media with saturable nonlinearity," J. Opt. Soc. Am. B **30**, 1036-1040 (2013)

http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-30-4-1036

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### References

- G. L. Lamb, Elements of Soliton Theory (Wiley, 1980).
- N. N. Akhmediev and A. A. Ankiewicz, Solitons (Chapman & Hall, 1997).
- Y. S. Kivshar and G. P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic, 2003).
- S. Novikov, S. V. Manakov, L. P. Pitaevskii, and V. E. Zakharov, Theory of Solitons: The Inverse Scattering Method (Plenum, 1984).
- M. J. Ablowitz and P. A. Clarkson, Solitons, Nonlinear Evolution Equations, and Inverse Scattering (Cambridge University, 1991).
- C. Sulem and P. Sulem, The Nonlinear Schrödinger Equation: Self-focusing and Wave Collapse (Springer-Verlag, 1999).
- E. DelRe, A. Ciattoni, B. Crosignani, and P. Di Porto, “Nonlinear optical propagation phenomena in near-transition centrosymmetric photorefractive crystals,” J. Nonlinear Opt. Phys. Mater. 8, 1–20 (1999). [CrossRef]
- D. Kip, C. Herden, and M. Wesner, “All-optical signal routing using interaction of mutually incoherent spatial solitons,” Ferroelectrics 274, 135–142 (2002).
- O. Cohen, S. Lan, T. Carmon, J. A. Giordmaine, and M. Segev, “Spatial vector solitons consisting of counterpropagating fields,” Opt. Lett. 27, 2013–2015 (2002). [CrossRef]
- C. Rotschild, O. Cohen, O. Manela, T. Carmon, and M. Segev, “Interactions between spatial screening solitons propagating in opposite directions,” J. Opt. Soc. Am. B 21, 1354–1357(2004). [CrossRef]
- E. DelRe, A. D’Ercole, and E. Palange, “Mechanisms supporting long propagation regimes of photorefractive solitons,” Phys. Rev. E 71, 036610 (2005). [CrossRef]
- A. Ciattoni, A. Marini, C. Rizza, and E. DelRe, “Collision and fusion of counterpropagating micrometer-sized optical beams in periodically biased photorefractive crystals,” Opt. Lett. 34, 911–913 (2009). [CrossRef]
- M. S. Petrović, M. R. Belić, C. Denz, and Y. S. Kivshar, “Counterpropagating optical beams and solitons,” Laser Photon. Rev. 5, 214–233 (2011). [CrossRef]
- M. Belić, P. Jander, K. Motzek, A. Desyatnikov, D. Jović, A. Strinić, M. Petrović, C. Denz, and F. Kaiser, “Counterpropagating self-trapped beams in photorefractive crystals,” J. Opt. B Quantum. Semiclass. Opt. 6, S190–S196 (2004). [CrossRef]
- M. Belić, D. Jović, S. Prvanović, D. Arsenović, and M. Petrović, “Counterpropagating self-trapped beams in optical photonic lattices,” Opt. Express 14, 794–799 (2006). [CrossRef]
- M. V. Tratnik and J. E. Sipe, “Bound solitary waves in a birefringent optical fibre,” Phys. Rev. A 38, 2011–2017 (1988). [CrossRef]
- R. J. Potton, “Reciprocity in optics,” Rep. Prog. Phys. 67, 717–754 (2004). [CrossRef]
- M. R. Belić, D. Vujić, A. Stepken, F. Kaiser, G. F. Calvo, F. Agullo-Lopez, and M. Carrascosa, “Isotropic versus anisotropic modeling of photorefractive solitons,” Phys. Rev. E 65, 066610 (2002). [CrossRef]
- E. DelRe, A. Ciattoni, and A. J. Agranat, “Anisotropic charge displacement supporting isolated photorefractive optical needles,” Opt. Lett. 26, 908–910 (2001). [CrossRef]
- E. DelRe, G. De Masi, A. Ciattoni, and E. Palange, “Pairing space-charge field conditions with self-guiding for the attainment of circular symmetry in photorefractive solitons,” Appl. Phys. Lett. 85, 5499–5501 (2004). [CrossRef]
- K. Motzek, M. Belić, T. Richter, C. Denz, A. Desyatnikov, P. Jander, and F. Kaiser, “Counterpropagating beams in biased photorefractive crystals: anisotropic theory,” Phys. Rev. E 71, 016610 (2005). [CrossRef]
- D. Jović, R. Jovanović, S. Prvanović, M. Petrović, and M. Belić, “Counterpropagating beams in rotationally symmetric photonic lattices,” Opt. Mater. 30, 1173–1176 (2008). [CrossRef]
- E. H. Lieb and M. Loss, Analysis, 2nd ed. (American Mathematical Society, 2001).
- T. C. Lin, M. R. Belić, M. S. Petrović, and G. Chen, “Ground state of nonlinear Schrödinger systems with saturable nonlinearity,” arXiv:1208.6259v1 [math-ph] (2012).
- S. Gatz and J. Herrmann, “Propagation of optical beams and the properties of two-dimensional spatial solitons in media with a local saturable nonlinear refractive index,” J. Opt. Soc. Am. B 14, 1795–1806 (1997). [CrossRef]
- V. I. Petviashvili, “Equation of an extraordinary soliton,” Fiz. Plazmy 2, 469–471 (1976).
- J. Yang, I. Makasyuk, A. Bezryadina, and Z. Chen, “Dipole and quadrupole solitons in optically induced two-dimensional photonic lattices: theory and experiment,” Stud. Appl. Math. 113, 389–412 (2004). [CrossRef]
- M. S. Petrović, A. I. Strinić, N. B. Aleksić, and M. R. Belić, “Do shape invariant solitons in highly nonlocal nematic liquid crystals really exist?,” arXiv:1110.5053v1 [physics.optics] (2011).
- N. Aleksić, M. Petrović, A. Strinić, and M. Belić, “Solitons in highly nonlocal nematic liquid crystals: variational approach,” Phys. Rev. A 85, 033826 (2012). [CrossRef]
- K. Motzek, P. Jander, A. Desyatnikov, M. Belić, C. Denz, and F. Kaiser, “Dynamic counterpropagating vector solitons in saturable self-focusing media,” Phys. Rev. E 68, 066611(2003). [CrossRef]
- D. Anderson, “Variational approach to nonlinear pulse propagation in optical fibers,” Phys. Rev. A 27, 3135–3145 (1983). [CrossRef]

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