Self‐focusing of sound beams in cubic nonlinear media

1994 ◽  
Vol 95 (5) ◽  
pp. 2864-2864
Author(s):  
O. V. Rudenko
Open Physics ◽  
2012 ◽  
Vol 10 (4) ◽  
Author(s):  
Pawel Berczynski

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.


2020 ◽  
Vol 45 (3) ◽  
pp. 710 ◽  
Author(s):  
Huan Wang ◽  
Xiao-Ling Ji ◽  
Yu Deng ◽  
Xiao-Qing Li ◽  
Hong Yu

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

1992 ◽  
Vol 01 (03) ◽  
pp. 541-561 ◽  
Author(s):  
J.A. HERMANN

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.


1990 ◽  
Vol 75 (2) ◽  
pp. 129-135 ◽  
Author(s):  
F. Cornolti ◽  
M. Lucchesi ◽  
B. Zambon

Author(s):  
Chien-Chung Jeng ◽  
Ming-Feng Shih ◽  
Kristian Motzek ◽  
Yuri S. Kivshar

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