Fractional vortex dipoles of edge-screw type in self-focusing Kerr nonlinear media

2010 ◽  
Author(s):  
G. Maleshkov ◽  
P. Hansinger ◽  
A. Dreischuh ◽  
G. G. Paulus
Keyword(s):  
Nonlinear Media ◽  
Vortex Dipoles ◽  
Self Focusing ◽  
Kerr Nonlinear Media

Optical vortices in self-focusing Kerr nonlinear media

2009 ◽  
Vol 282 (16) ◽  
pp. 3349-3355 ◽  
Author(s):  
Peter Hansinger ◽  
Alexander Dreischuh ◽  
Gerhard G. Paulus
Keyword(s):  
Optical Vortices ◽  
Nonlinear Media ◽  
Self Focusing ◽  
Kerr Nonlinear Media

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
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