Spatial-soliton-induced guided waves in a homogeneous nonlinear Kerr medium

1991 ◽  
Vol 16 (11) ◽  
pp. 793 ◽  
Author(s):  
R. De La Fuente ◽  
A. Barthelemy ◽  
C. Froehly
Keyword(s):  
Guided Waves ◽  
Spatial Soliton ◽  
Kerr Medium

Spatial solitons in a medium with lumped amplification and dissipation

2015 ◽  
Vol 24 (01) ◽  
pp. 1550011 ◽  
Author(s):  
K. Aysha Muhsina ◽  
P. A. Subha
Keyword(s):  
Propagation Distance ◽  
Spatial Soliton ◽  
Amplification Coefficient ◽  
Kerr Medium ◽  
Two Dimensional ◽  
Spatial Solitons ◽  
Linear Amplification ◽  
Graded Index ◽  
Kerr Media ◽  
Soliton Dynamics

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.

OPTICAL SPATIAL SOLITON IN STRONG NONLOCAL LOGARITHMIC MEDIUM

2013 ◽  
Vol 22 (03) ◽  
pp. 1350026
Author(s):  
QING WANG ◽  
JINGZHEN LI ◽  
XINGHUA WANG
Keyword(s):  
Gaussian Beam ◽  
Evolution Equations ◽  
Beam Width ◽  
Optical Soliton ◽  
Spatial Soliton ◽  
Kerr Medium ◽  
Initial Condition ◽  
Initial Beam ◽  
Spatial Optical Soliton ◽  
The Difference

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.

Novel propagation regimes for TE waves guided by a waveguide filled with Kerr medium

2016 ◽  
Vol 25 (04) ◽  
pp. 1650051 ◽  
Author(s):  
Dmitry Valovik
Keyword(s):  
Wave Propagation ◽  
Finite Number ◽  
Infinite Number ◽  
Analytical Approach ◽  
Guided Waves ◽  
Kerr Medium

A fully analytical approach to the problem of TE wave propagation in an open lossless waveguide filled with Kerr medium is suggested. It is shown that the waveguide supports two physically interesting guided regimes in the focusing case. In each of the regimes, there exists an infinite number of guided waves that do not have linear counterparts. It is also shown that in the defocusing case only one regime arises with a finite number of guided waves; all these solutions have linear counterparts. Numerical illustrations and discussion of the found results are presented.

scholarly journals Evolution of rectangular and triangular initial beam profiles in positive Kerr local medium

2020 ◽  
Vol 1 (1) ◽  
pp. 13-17
Author(s):  
M. Hesami ◽  
M. Avazpour ◽  
M. M. Méndez Otero ◽  
J. Jesús Arriaga Rodríguez
Keyword(s):  
Initial Step ◽  
Beam Profile ◽  
Spatial Soliton ◽  
Kerr Medium ◽  
Third Order ◽  
Focusing Effect ◽  
Initial Beam ◽  
Self Focusing ◽  
Matlab Program ◽  
Local Medium

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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