Spatial soliton collision in nonlinear Kerr medium

Author(s):  
Shuqing Li
1996 ◽  
Vol 76 (15) ◽  
pp. 2698-2701 ◽  
Author(s):  
Vladimir Tikhonenko ◽  
Jason Christou ◽  
Barry Luther-Davies

2015 ◽  
Vol 24 (01) ◽  
pp. 1550011 ◽  
Author(s):  
K. Aysha Muhsina ◽  
P. A. Subha

This work analyzes the dynamics of two-dimensional spatial solitons in dissipative graded index Kerr media, analytically and numerically. The dynamics of two-dimensional spatial solitons has been studied in a medium with lumped amplification. The presence of lumped amplification in the medium results in the formation of soliton like waves called similaritons. The spatial soliton dynamics has been studied in a dissipative medium. In a dissipative graded index Kerr medium, the balancing between the coefficients of constant dissipation and lumped amplification results in the stabilization of the beam. The beam dynamics has also been studied by varying amplification coefficients with propagation distance. Hyperbolic, linear, and exponential amplification profiles are considered. When amplification coefficient varies with propagation distance, the beam gets compressed. The beam compression is higher in the case of exponential amplification profile than that of hyperbolic and linear amplification profiles.


2013 ◽  
Vol 22 (03) ◽  
pp. 1350026
Author(s):  
QING WANG ◽  
JINGZHEN LI ◽  
XINGHUA WANG

In this paper, the propagation of Gaussian beam in strong nonlocal logarithmic medium is studied, and the evolution equations for the parameters are obtained. The initial condition of forming spatial optical soliton in this kind of medium, which requires the initial beam on-waist incident and its width equaling to the critical beam width, is different from that in strong nonlocal Kerr medium. The reason of the difference is also analyzed. Moreover, the result shows that the beam width will oscillate periodically when the initial condition is dissatisfied. In addition, we discuss the influence of the initial beam width on oscillating range.


1990 ◽  
Vol 15 (20) ◽  
pp. 1123 ◽  
Author(s):  
Tian-Tsorng Shi ◽  
Sien Chi

1991 ◽  
Vol 16 (11) ◽  
pp. 793 ◽  
Author(s):  
R. De La Fuente ◽  
A. Barthelemy ◽  
C. Froehly

2020 ◽  
Vol 1 (1) ◽  
pp. 13-17
Author(s):  
M. Hesami ◽  
M. Avazpour ◽  
M. M. Méndez Otero ◽  
J. Jesús Arriaga Rodríguez

The hyperbolic secant (Sech) shape, as the initial beam profile, is the well-know profile that compensates the diffraction and self-focusing effect during propagation in Kerr medium, and evolves as the bright spatial soliton. The Sech beam can be confined in the Kerr medium andinduces its own waveguide. In this work, two initial beam profiles, rectangular and triangular functions, that are different than Sech profile, are considered, and the propagation of these beam profiles in third-order nonlinear (Kerr) medium is investigated. As a result, the initialbeam-width played an important role in confining the beam profiles in direction of propagation. In addition, the intensity profiles change to the Sech profile after some initial step of propagation. All the calculations and simulations have been done by the Split-Step numericalmethod with MATLAB program.


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