Bright spatial solitons in non-Kerr media: stationary beams and dynamical evolution

1997 ◽  
Vol 14 (11) ◽  
pp. 3025 ◽  
Author(s):  
Allan W. Snyder ◽  
Yuri S. Kivshar
Keyword(s):  
Dynamical Evolution ◽  
Spatial Solitons ◽  
Kerr Media

scholarly journals Anomalous Propagation Characteristics of Airy Beam in Nonlinear Kerr Media

Crystals ◽  
2021 ◽  
Vol 11 (8) ◽  
pp. 879
Author(s):  
Li Shao ◽  
Yun-Long Wu ◽  
Qing Ye
Keyword(s):  
Bound States ◽  
Quasi Equilibrium ◽  
Spatial Solitons ◽  
Propagation Characteristics ◽  
Transform Method ◽  
Nonlinear Media ◽  
Kerr Media ◽  
Airy Beam ◽  
Normal Breathing ◽  
Anomalous Propagation

The propagation characteristics of a single Airy beam in nonlinear Kerr media were numerically investigated by utilizing the split-step Fourier transform method. We show that in addition to normal breathing solitons, the anomalous bound states of Airy spatial solitons can also be formed, which are similar to the states formed in the interaction between two Airy beams in nonlinear media. This quasi-equilibrium state is formed by the interaction of the main soliton beam and side lobes of Airy beam due to their different propagation trajectories in the nonlinear media. Moreover, it has been shown the Airy spatial solitons in tree structure can be formed by adjusting the initial parameters in the interaction between the Airy beam and Kerr media.

Breathing spatial solitons in non-Kerr media

1997 ◽  
Vol 22 (18) ◽  
pp. 1388 ◽  
Author(s):  
Vsevolod V. Afanasjev ◽  
Pak L. Chu ◽  
Yuri S. Kivshar
Keyword(s):  
Spatial Solitons ◽  
Kerr Media

Multi-frequency spatial solitons in Kerr media

1994 ◽  
Vol 113 (1-3) ◽  
pp. 292-304 ◽  
Author(s):  
H.T. Tran ◽  
R.A. Sammut ◽  
W. Samir
Keyword(s):  
Spatial Solitons ◽  
Kerr Media

Coherence properties of multimode incoherent spatial solitons in noninstantaneous Kerr media

1999 ◽  
Vol 59 (1) ◽  
pp. 1193-1199 ◽  
Author(s):  
M. I. Carvalho ◽  
T. H. Coskun ◽  
D. N. Christodoulides ◽  
M. Mitchell ◽  
M. Segev
Keyword(s):  
Spatial Solitons ◽  
Kerr Media

scholarly journals WEAKLY NONPARAXIAL EFFECTS ON THE PROPAGATION OF (1+1)D SPATIAL SOLITONS IN INHOMOGENEOUS KERR MEDIA

2005 ◽  
Vol 14 (02) ◽  
pp. 203-219 ◽  
Author(s):  
A. SURYANTO ◽  
E. VAN GROESEN ◽  
M. HAMMER
Keyword(s):  
Wave Equation ◽  
Numerical Simulations ◽  
Beam Propagation ◽  
Bound State ◽  
Higher Order ◽  
Spatial Solitons ◽  
Nls Equation ◽  
Soliton Propagation ◽  
Kerr Media ◽  
Higher Order Terms

The widely-used approach to study the beam propagation in Kerr media is based on the slowly varying envelope approximation (SVEA) which is also known as the paraxial approximation. Within this approximation, the beam evolution is described by the nonlinear Schrödinger (NLS) equation. In this paper, we extend the NLS equation by including higher-order terms to study the effects of nonparaxiality on the soliton propagation in inhomogeneous Kerr media. The result is still a one-way wave equation which means that all back-reflections are neglected. The accuracy of this approximation exceeds the standard SVEA. By performing several numerical simulations, we show that the NLS equation produces reasonably good predictions for relatively small degrees of nonparaxiality, as expected. However, in the regions where the envelope beam is changing rapidly as in the breakup of a multisoliton bound state, the nonparaxiality plays an important role.

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.

A Vector Theory on Spatial Solitons in Kerr Media

2001 ◽  
Vol 18 (10) ◽  
pp. 1346-1349 ◽  
Author(s):  
She Wei-Long ◽  
Zheng Xi-Guang ◽  
Ni Xiao-Hui ◽  
Guo Hong
Keyword(s):  
Spatial Solitons ◽  
Kerr Media ◽  
Vector Theory
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