Spatial solitons in Schrodinger equation with a spatially modulated nonlinearity: Variational approach

Document Type : Original Article

Author

Department of Energy engineering and physics, Faculty of Chemical and Industrial Engineering, University of Science and Technology of Mazandaran, Behshahr

Abstract

In is paper, we have studied the propagation of spatial solitons in the medium with a spatially modulated nonlinearity. Wave equation includes the terms of diffraction and periodic self- focusing. To solve the wave equation, we have employed numerical method including Monte Carlo based Euler-Lagrange variational schema. The effect of the nonlinearity strength related to periodic Kerr self-focusing, on the physical properties of the systems such as maximum intensity and soliton width oscillations are considered.

Keywords

Main Subjects


[1] A.B. Aceves, J.V. Moloney, A.C. Newell, Theory of light beam propagation at nonlinear interfaces. I. Equivalent particle theory for a single interface, Phys. Rev. A 39 1989, 1809.
[2] G.P. Agrawal, Nonlinear Fiber Optics, Academic, 2001.
[3] G.P. Agrawal, Fiber Optic Communication Systems, Wiley, 2002.
[4] J.S. Aitchison, Y. Silberberg, A.M. Weiner, D.E. Leaird, M.K. Olivier, J.L. Jackel and P.W. E. Smith, Spatial optical solitons in planar glass waveguides, J. Opt. Soc. Am. B 8, 1991, 1290.
[5] J.S. Aitchison, A.M. Weiner, Y. Silberberg, M.L. Oliver, J.L. Jackel, D.E. Leaird, E.M. Vogel, P.W.E. Smith, Experimental observation of spatial soliton interactions, Opt. Lett. 16 1991, 15.
[6] N.N. Akhmediev, A. Ankiewicz, Solitons, Nonlinear Pulses and Beams, Chapman & Hall, London, 1997.
[7] A. Barthelemy, S. Maneuf, C. Froehly, Propagation soliton et auto- confinement de faisceaux laser par non linarit optique de Kerr, Opt. Commun.55 1985, 201.
[8] G. Cancellieri, F. Chiaraluce, E. Gambi, P. Pierleoni, Coupled-soliton photonic logic gates: practical design procedures, J. Opt. Soc. Am. B 12 1995, 1300.
[9] M. Chen, Q. Guo, D. Lu, W. Hu, Variational approach for breathers in a nonlinear fractional Schrödinger equation, Commun. Nonlinear Sci. Numer. Simulat. 71 2019, 73-81.
[10] R.Y. Chiao, E. Garmire, C. H. Townes, Phys. Rev. Lett. 13 1964, 479.
[11] R.Y. Chiao, S. Trillo, W. Torruellas, Spatial Solitons, Springer-Verlag, Berlin, Heidelberg, Germany, 2001.
[12] I. Darti, A. Suryanto, Propagation of spatial soliton in Gaussian waveguide with nonlocal nonlinearity, Journal of Materials Science and Engineering B 1 2011, 232-238.
[13] M. Ghalandari, A. Ghadi, M. Solaimani, S. Mirzanejhad, Saturation and Refractive Index Geometry Effects on Localization of a Spatial Soliton in a Waveguide with Parabolic Rectangular Index Profile, Journal of Elec Materi 48 2019, 5797-5805.