scholarly journals Semiclassical dynamics and coherent soliton condensates in self‐focusing nonlinear media with periodic initial conditions

2020 ◽  
Vol 145 (3) ◽  
pp. 325-356
Author(s):  
Gino Biondini ◽  
Jeffrey Oregero
Keyword(s):  
Initial Conditions ◽  
Nonlinear Media ◽  
Self Focusing ◽  
Semiclassical Dynamics

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.

Theory of the quasi-steady-state self-focusing of partially coherent light pulses in nonlinear media

2020 ◽  
Vol 45 (3) ◽  
pp. 710 ◽  
Author(s):  
Huan Wang ◽  
Xiao-Ling Ji ◽  
Yu Deng ◽  
Xiao-Qing Li ◽  
Hong Yu
Keyword(s):  
Steady State ◽  
Quasi Steady State ◽  
Coherent Light ◽  
Nonlinear Media ◽  
Partially Coherent ◽  
Light Pulses ◽  
Self Focusing ◽  
Partially Coherent Light

SPATIAL SOLITARY WAVES IN GENERALIZED NON-LOCAL NONLINEAR MEDIA

2010 ◽  
Vol 19 (02) ◽  
pp. 311-317 ◽  
Author(s):  
WEI-PING ZHONG ◽  
ZHENG-PING YANG
Keyword(s):  
Solitary Wave ◽  
Solitary Waves ◽  
Initial Conditions ◽  
Soliton Solutions ◽  
Solitary Wave Solutions ◽  
Cylindrical Coordinates ◽  
Intensity Pattern ◽  
Nonlinear Media ◽  
Wave Solutions ◽  
Non Local

We introduce a very general self-trapped beam solution to the generalized non-local nonlinear Schrödinger equation in cylindrical coordinates, by combining superpositions of the known single accessible soliton solutions. Specific values of soliton parameters are selected as initial conditions and superpositions of the single soliton solutions in the highly non-local regime are launched into the non-local nonlinear medium with Gaussian response function, to obtain novel numerical solitary wave solutions. Novel solitary waves have been constructed that exhibit unique features whose intensity pattern is formed by various figures.

Small-scale self-focusing of divergent beam in nonlinear media with loss

2010 ◽  
Vol 8 (2) ◽  
pp. 210-212 ◽  
Author(s):  
张艳丽 Yanli Zhang ◽  
李小燕 Xiaoyan Li ◽  
张燕 Yan Zhang ◽  
孙平平 Pingping Sun ◽  
朱健强 Jianqiang Zhu
Keyword(s):  
Small Scale ◽  
Nonlinear Media ◽  
Divergent Beam ◽  
Self Focusing

SELF-FOCUSING EFFECTS AND APPLICATIONS USING THIN NONLINEAR MEDIA

1992 ◽  
Vol 01 (03) ◽  
pp. 541-561 ◽  
Author(s):  
J.A. HERMANN
Keyword(s):  
Laser Beam ◽  
Nonlinear Optical ◽  
Far Field ◽  
Nonlinear Media ◽  
Self Focusing ◽  
Optical Effects ◽  
Nonlinear Optical Effects

A model of the nonlinear optical effects attending the interaction of a laser beam with a thin Kerr-type medium has been analyzed in detail. The formalism developed is applicable to both near- and far-field situations. Some possible applications are discussed.

Elliptic gaussian beam self-focusing in nonlinear media

1990 ◽  
Vol 75 (2) ◽  
pp. 129-135 ◽  
Author(s):  
F. Cornolti ◽  
M. Lucchesi ◽  
B. Zambon
Keyword(s):  
Gaussian Beam ◽  
Nonlinear Media ◽  
Self Focusing
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