Self-Similar Hermite–Gaussian Spatial Solitons in Two-Dimensional Nonlocal Nonlinear Media

2010 ◽  
Vol 53 (5) ◽  
pp. 937-942 ◽  
Author(s):  
Yang Bin ◽  
Zhong Wei-Ping ◽  
Milivoj R Belić
Keyword(s):  
Two Dimensional ◽  
Spatial Solitons ◽  
Nonlinear Media ◽  
Nonlocal Nonlinear Media ◽  
Self Similar ◽  
Nonlocal Nonlinear

Breathing Azimuthons in Nonlocal Nonlinear Media

2012 ◽  
Vol 67 (10-11) ◽  
pp. 581-588
Author(s):  
Xian-Jing Lai ◽  
Xiao-Ou Cai ◽  
Xiao-Jing Nia
Keyword(s):  
Attenuation Coefficient ◽  
Critical Power ◽  
Similarity Transformation ◽  
Azimuthal Angle ◽  
Beam Width ◽  
Two Dimensional ◽  
Nonlinear Media ◽  
Nonlocal Nonlinear Media ◽  
Self Similar ◽  
Nonlocal Nonlinear

Two-dimensional self-similar azimuthons are introduced and investigated analytically and numerically in nonlocal nonlinear media with space-dependent diffractive, gain (attenuation) coefficient based on the similarity transformation and variational approach.We demonstrate that the azimuthons of critical power in the strongly nonlocal limit are more stable than the ones with lower nonlocality. Remarkably, these self-similar azimuthons have the azimuthal angle modulated by the distributed diffractive coefficient, apart from the beam width and intensity changing self-similarly.

scholarly journals Two-dimensional multipole solitons in nonlocal nonlinear media

2006 ◽  
Vol 31 (22) ◽  
pp. 3312 ◽  
Author(s):  
Carmel Rotschild ◽  
Mordechai Segev ◽  
Zhiyong Xu ◽  
Yaroslav V. Kartashov ◽  
Lluis Torner ◽  
...  
Keyword(s):  
Two Dimensional ◽  
Nonlinear Media ◽  
Nonlocal Nonlinear Media ◽  
Nonlocal Nonlinear

Two-dimensional dark solitons in diffusive nonlocal nonlinear media

2015 ◽  
Vol 44 (2) ◽  
pp. 172-177
Author(s):  
Si-Liu Xu ◽  
Nikola Petrović ◽  
Milivoj R. Belić
Keyword(s):  
Two Dimensional ◽  
Nonlinear Media ◽  
Dark Solitons ◽  
Nonlocal Nonlinear Media ◽  
Nonlocal Nonlinear

Collapse arrest for two-dimensional Airy Gaussian beam and Airy Gaussian vortex beam in nonlocal nonlinear media

2021 ◽  
Author(s):  
Ming Shen ◽  
Ye Chen ◽  
Lijuan Ge ◽  
Xinglin Wang
Keyword(s):  
Gaussian Beam ◽  
Self Healing ◽  
Two Dimensional ◽  
Vortex Beam ◽  
Distribution Factor ◽  
Factor B ◽  
Nonlinear Media ◽  
Nonlocal Nonlinear Media ◽  
Vortex Solitons ◽  
Nonlocal Nonlinear

Abstract Propagation dynamics of two-dimensional Airy Gaussian beam and Airy Gaussian vortex beam are investigated numerically in local and nonlocal nonlinear media. The self-healing and collapse of the beam depend crucially on the distribution factor $b$ and the topological charge $m$. With the help of nonlocality, stable Airy Gaussian beam and Airy Gaussian vortex beam with larger amplitude can be obtained, which always collapse in local nonlinear media. When the distribution factor $b$ is large enough, the Airy Gaussian vortex beam will transfer into quasi-vortex solitons in nonlocal nonlinear media.

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