Spatial soliton pairs in an unbiased photovoltaic-photorefractive crystal circuit

Document Type : Articles


1 Department of Physics, Shiraz University of Technology, Shiraz, Iran.

2 Department of Physics, Marvdasht Branch, Islamic Azad University, Marvdasht , Iran.


: Optical separate spatial dark and bright soliton pairs in steady-state case in one dimension, for a series circuit consisting of two-photon photorefractive (PR) crystal are investigated. Each crystal can be supported the spatial soliton, and at least one must be photovoltaic. The two solitons are known collectively as separate spatial soliton pairs with dark–dark, bright–dark and bright–bright. Results show that when an optical wave has a spatial extent much less than the width of the crystal, only the dark soliton can effect on the other soliton by light-induced current, while the bright soliton doesn't have such an effect. In fact when a crystal supports a bright soliton, the light-induced current is so small that the crystal cannot act as a current source, whereas when a crystal supports a dark soliton, the light-induced current is strong enough to affect the other soliton in the other crystal.  Numerical results confirm that the two solitary states remain invariant under propagation. We also show that these solitons are stable under a small perturbation.


[1]     G. C. Duree, J. L. Shultz, G. J. Salamo, M. Segev, A. Yariv, B. Crosignani, P. Di Porto, E. J. Sharp, and R. R. Neurgaonkar,Observation of self-trapping an optical beam due to photorefractive effect, Phys. Rev. Lett., 71 (1993) 533.
[2]     W. L. She, K. K. Lee, W. K. Lee,All Optical Quasi-Steady-State Photorefractive Spatial Solitons,Phys. Rev. Lett. 85 (2000) 2498.
[3]     J. Liu, Z. Hao, Evolution of separate screening soliton pairs in a biased series photorefractive crystal circuit, Phys. Rev. E, 65 (2002) 066601.
[4]     M. Segev, G. C. Valley, B. Crosignani, P. Diporto, A. Yariv, Steady-State Spatial Screening Soliton in Photorefractive Materials with External Applied Field, Phys. Rev. Lett, 73 (1994) 3211.
[5]     K. Kos, H. Meng, G. Salamo, M. F. Shih, M. Segev, G. C. Valley,One-dimensional steady-state photorefractive screening solitons, Phys. Rev., E, 53 (1996) 4330.
[6]     Z. Chen, M. Mitchell, M. Shih, M. Segev, M. H. Garrett, G. C. Valley, Steady-state dark photorefractive screening solitons, Opt. Lett., 21 (1996) 629.
[7]     D. N. Christodoulides, S. R. Singh, M. I. Carvalho, M. Segev, Incoherently coupled soliton pairs in biased photorefractive crystals, Appl. Phys. Lett., 68 (1996) 1763.
[8]     L. Jin-song, Universal theory of steady-state one-dimensional photorefractive solitons, Chin. Phys, 10 (2001) 1037.
[9]     N. Asif, S. Shwetanshumala, S. Konar,Photovoltaic spatial solitons pairs in two-photon photorefractive materials, Phys. Lett. A, 372 (2008) 735.
[10] M. Segev, G. C. Valley, M. C. Bashaw, M. Taya , M. M. Fejer,Photovoltaic spatial solitons, J. Opt. Soc. Am. B, 14 (1997) 1772.
[11] J. Liu, L. Keqing, Screening-photovoltaic solitons in a biased photovoltaic-photorefractive crystals and their self-deflection, J. Opt. Soc. Am. B, 16 (1999) 550.
[12] G. Zhang, J. Liu, Screening-photovoltaic spatial solitons in a biased two-photon photovoltaic-photorefractive crystals, J. Opt. Soc. Am. B, 26(2008) 113.
[13]  J. Liu,Separate spatial soliton pairs and solitons interaction in an unbiased series photorefractive crystal circuit, Phys. Lett. A, 300 (2002) 213.
[14] X. Ji, Q. Jiang, J. Yao, J. Liu,Separate spatial soliton pairs in an unbiased series two-photon photorefractive crystal circuit,Opt. Laser. Technol, 42 (2009) 322.
[15]                       E. Castro-Camus, L. F. Magana,Prediction of the physical response for the two-photon photorefractive effect, Opt. Lett. 28 (2003) 1129.
[16] Y. Zhang, C. Hou, K. Zhan, X. Sun, Incoherently coupled bright–dark photovoltaic soliton pairs based on two-photon photorefractive effect, Optik-Int. J. Light Electron Opt, 122(2011) 263.
[17] Y. Zhang, C. Hou, F.  Wang, X. Sun, Optik, Incoherently coupled grey–grey spatial soliton pairs due to two-photon photorefractive media, 119(2008) 700.
[18] K. Lu, W.  Zhao, Y. Yang,Y. Yang, R.A. Rupp, M. Fally, Y. Zhang, J. Xu, M. Zhang,One-dimensional incoherently coupled grey solitons in two-photon photorefractive media , Appl. Phys. B, 87 (2007) 469.
[19] K. Kuroda,Progress in photorefractive Nonlinear Optics, Taylor and Francis, 2002.
[20]  G. Stegemen,Optical spatial solitons: Historical perspectives,IEEE J. Select Top Quantum Electron, 6 (2000) 1419.
[21] G. Evans, J. Blackledge, P. Yardley, Numerical methods for partial differential equation, Springer Verlag, Berlin, 2000.
[22] A. Keshavarz, L. Sadralsadati, M. Hatami,Simulation of soliton propagation in photovoltaic photorefractive two-photon materials and study the switching behavior, PIERS Proceeding, Moscow, Russia, August18-21, 2009, 1823.