scholarly journals Stability of vortex solitons in thermal nonlinear media with cylindrical symmetry

2007 ◽  
Vol 15 (15) ◽  
pp. 9378 ◽  
Author(s):  
Yaroslav V. Kartashov ◽  
Victor A. Vysloukh ◽  
Lluis Torner
Keyword(s):  
Cylindrical Symmetry ◽  
Nonlinear Media ◽  
Vortex Solitons

scholarly journals Quasi-stable fractional vortex solitons in nonlocal nonlinear media

2021 ◽  
pp. 104511
Author(s):  
Xinjian Pan ◽  
Chongfu Zhang ◽  
Chunjian Deng ◽  
Zhili Li ◽  
Qing Wang
Keyword(s):  
Nonlinear Media ◽  
Nonlocal Nonlinear Media ◽  
Vortex Solitons ◽  
Nonlocal Nonlinear

scholarly journals Gaussian beam diffraction in inhomogeneous and logarithmically saturable nonlinear media

Open Physics ◽  
2012 ◽  
Vol 10 (4) ◽  
Author(s):  
Pawel Berczynski
Keyword(s):  
Gaussian Beam ◽  
Wave Front ◽  
Analytical Methods ◽  
Cylindrical Symmetry ◽  
Nonlinear Media ◽  
First Order ◽  
Self Focusing ◽  
Complex Curvature ◽  
Numerical And Analytical Methods ◽  
Beam Diffraction

AbstractThe method of paraxial complex geometrical optics (PCGO) is presented, which describes Gaussian beam (GB) diffraction and self-focusing in smoothly inhomogeneous and nonlinear saturable media of cylindrical symmetry. PCGO reduces the problem of Gaussian beam diffraction in nonlinear and inhomogeneous media to the system of the first order ordinary differential equations for the complex curvature of the wave front and for GB amplitude, which can be readily solved both analytically and numerically. As a result, PCGO radically simplifies the description of Gaussian beam diffraction in inhomogeneous and nonlinear media as compared to the numerical and analytical methods of nonlinear optics. The power of PCGO method is presented on the example of Gaussian beam evolution in logarithmically saturable medium with either focusing and defocusing refractive profile. Besides, the influence of initial curvature of the wave front on GB evolution in nonlinear saturable medium is discussed in this paper.

Optical vortex solitons observed in Kerr nonlinear media

1992 ◽  
Vol 69 (17) ◽  
pp. 2503-2506 ◽  
Author(s):  
G. A. Swartzlander ◽  
C. T. Law
Keyword(s):  
Optical Vortex ◽  
Nonlinear Media ◽  
Vortex Solitons ◽  
Kerr Nonlinear Media

scholarly journals Ring vortex solitons in nonlocal nonlinear media

2005 ◽  
Vol 13 (2) ◽  
pp. 435 ◽  
Author(s):  
D. Briedis ◽  
D.E. Petersen ◽  
D. Edmundson ◽  
W. Krolikowski ◽  
O. Bang
Keyword(s):  
Ring Vortex ◽  
Nonlinear Media ◽  
Nonlocal Nonlinear Media ◽  
Vortex Solitons ◽  
Nonlocal Nonlinear

Ring Vortex Solitons in Nonlocal Nonlinear Media

2005 ◽  
Author(s):  
D. Briedis ◽  
D.E. Petersen ◽  
D. Edmundson ◽  
W. Krolikowski ◽  
O. Bang
Keyword(s):  
Ring Vortex ◽  
Nonlinear Media ◽  
Nonlocal Nonlinear Media ◽  
Vortex Solitons ◽  
Nonlocal Nonlinear

Instability suppression of vector vortex solitons in nonlocal nonlinear media

2020 ◽  
Vol 101 (3) ◽  
Author(s):  
Huicong Zhang ◽  
Zhiwei Weng ◽  
Qian Shou ◽  
Qi Guo ◽  
Wei Hu
Keyword(s):  
Nonlinear Media ◽  
Nonlocal Nonlinear Media ◽  
Vortex Solitons ◽  
Nonlocal Nonlinear
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