Soliton Propagation Through Photorefractive Media
133
Fig. 3 Amplitude profile of bright soliton interaction and its inverted figure with k 1 = 1.4 and
k 2 = 0.7
diffraction and the beam profile remains unchanged as the propagates. The profile of
dark soliton solution which is obtained for λ > 0, μ > 0 is given in Figs. 1 and 2 for
different values of k 1 . Figure 3 shows the interaction of two beams for certain values
of k 1 andk 2 . For all other cases ( λ < 0, μ < 0), (λ > 0, μ < 0) and (λ > 0, μ > 0),
there are no solitary solutions. The results may find application in various fields of
nonlinear optics, especially to study crystal orientation and beam polarization on
photorefractive responses in the two-beam coupling configuration.
References
1. R.K. Bullough, P.J. Caudrey. Solitons (Springer, Berlin 1980)
2. M. Lakshmanan, S. Rajasekhar, Nonlinear Dynamics (Springer, 2003)
3. G.P. Agrawal, Nonlinear Fiber Optics (Academy Press, California, 2001)
4. A. Hasegawa, Optical Solitons in fibers (Springer, Berlin, 1980)
5. G.I. Stegeman, M. Segev, Special issue on Front. Optics (Rev.) 286, 1518 (1999)
6. D.N. Christodulides, R.I. Joseph, Phys. Rev. Lett. A 141, 37 (1989)
7. Hasegawa, Y. Kodama, Solitons in Optical Communications (Clarendon Press, 1995)
8. V.C. Kuriakose, K. Porsezian, Resonance, J. Sci. Educat. 15, 643 (2010)
9. M. Segev, B. Crosignani, A. Yariv, B. Fisher, Phys. Rev. Lett. 68, 923 (1992)
10. M. Segev, M. Shih, G.C. Valley, J. Opt. Soc. Am. B 13, 706 (1996)
11. M.D. Iturbe-Castillo, P.A. Marquez-Aguilar, J.J. Sanchez-Mondragon, S. Stepanov, V. Vysloukh, Appl. Phys. Lett. 64, 408 (1994)
12. M. Segev, B. Crosignani, A. Yariv, M.M. Feger, M. Bashaw, Phys. Rev. A 50, 4457 (1994)
13. D.N. Christodoulides, M.I. Carvatho, Opt. Soc. Am. B 12, 1628 (1995)
14. Z. Chen, M. Segev, T.H. Coskun, D.N. Christodoulides, Y.S. Kivshar, J. Opt. Soc. Am. B 14,
3066 (1997)
15. M. Shih, M. Segev, G.C. Valley, G. Salamo, B. Crosignani, P. Di Porto, Electron. Lett. 31, 826
(1995)
133
Fig. 3 Amplitude profile of bright soliton interaction and its inverted figure with k 1 = 1.4 and
k 2 = 0.7
diffraction and the beam profile remains unchanged as the propagates. The profile of
dark soliton solution which is obtained for λ > 0, μ > 0 is given in Figs. 1 and 2 for
different values of k 1 . Figure 3 shows the interaction of two beams for certain values
of k 1 andk 2 . For all other cases ( λ < 0, μ < 0), (λ > 0, μ < 0) and (λ > 0, μ > 0),
there are no solitary solutions. The results may find application in various fields of
nonlinear optics, especially to study crystal orientation and beam polarization on
photorefractive responses in the two-beam coupling configuration.
References
1. R.K. Bullough, P.J. Caudrey. Solitons (Springer, Berlin 1980)
2. M. Lakshmanan, S. Rajasekhar, Nonlinear Dynamics (Springer, 2003)
3. G.P. Agrawal, Nonlinear Fiber Optics (Academy Press, California, 2001)
4. A. Hasegawa, Optical Solitons in fibers (Springer, Berlin, 1980)
5. G.I. Stegeman, M. Segev, Special issue on Front. Optics (Rev.) 286, 1518 (1999)
6. D.N. Christodulides, R.I. Joseph, Phys. Rev. Lett. A 141, 37 (1989)
7. Hasegawa, Y. Kodama, Solitons in Optical Communications (Clarendon Press, 1995)
8. V.C. Kuriakose, K. Porsezian, Resonance, J. Sci. Educat. 15, 643 (2010)
9. M. Segev, B. Crosignani, A. Yariv, B. Fisher, Phys. Rev. Lett. 68, 923 (1992)
10. M. Segev, M. Shih, G.C. Valley, J. Opt. Soc. Am. B 13, 706 (1996)
11. M.D. Iturbe-Castillo, P.A. Marquez-Aguilar, J.J. Sanchez-Mondragon, S. Stepanov, V. Vysloukh, Appl. Phys. Lett. 64, 408 (1994)
12. M. Segev, B. Crosignani, A. Yariv, M.M. Feger, M. Bashaw, Phys. Rev. A 50, 4457 (1994)
13. D.N. Christodoulides, M.I. Carvatho, Opt. Soc. Am. B 12, 1628 (1995)
14. Z. Chen, M. Segev, T.H. Coskun, D.N. Christodoulides, Y.S. Kivshar, J. Opt. Soc. Am. B 14,
3066 (1997)
15. M. Shih, M. Segev, G.C. Valley, G. Salamo, B. Crosignani, P. Di Porto, Electron. Lett. 31, 826
(1995)