Surface defect gap solitons in optical lattices with nonlocal nonlinearity

2014 ◽  
Vol 28 (31) ◽  
pp. 1450219
Author(s):  
Limin Fang ◽  
Jie Gao ◽  
Xing Zhu ◽  
Zhiwei Shi ◽  
Huagang Li
Keyword(s):  
Optical Lattice ◽  
Surface Defect ◽  
Optical Lattices ◽  
Kerr Nonlinearity ◽  
Defect Depth ◽  
Nonlocal Nonlinearity ◽  
Stable Surface ◽  
Gap Solitons

We show that stable surface fundamental defect solitons can exist in different gaps of an optical lattice with focusing nonlocal Kerr nonlinearity. For positive defect, solitons stably exist in the semi-infinite gap. For negative defect, solitons are stable in the semi-infinite gap and the first gap. Increasing the negative defect depth, the existent regions of defect solitons in the semi-infinite gap and in the first gap will be changed. The degree of the nonlocality will affect the profiles of these solitons.

Surface defect gap solitons in one-dimensional chirped optical lattices

2010 ◽  
Vol 27 (3) ◽  
pp. 484 ◽  
Author(s):  
Jia-Ning Xie ◽  
Ying-Ji He ◽  
He-Zhou Wang
Keyword(s):  
Surface Defect ◽  
Optical Lattices ◽  
One Dimensional ◽  
Gap Solitons

𝒫𝒯-symmetric nonlocal gap solitons in optical lattices

2014 ◽  
Vol 23 (04) ◽  
pp. 1450041 ◽  
Author(s):  
Chandroth P. Jisha ◽  
Alessandro Alberucci ◽  
Gaetano Assanto
Keyword(s):  
Periodic Structure ◽  
Optical Lattices ◽  
Oscillatory Instability ◽  
Nonlocal Nonlinearity ◽  
Imaginary Potential ◽  
Existence And Stability ◽  
Instability Rate ◽  
Gap Solitons

The existence and stability of 𝒫𝒯-symmetric gap solitons in a periodic structure with defocusing nonlocal nonlinearity are studied. It is found that solitons are in general unstable, their instability rate depending on the magnitude of the imaginary potential. For low values of the imaginary potential solitons survive over distances many times the Rayleigh distance, whereas for high values of the imaginary potential solitons develop an oscillatory instability, eventually leading to a transverse drift towards the gain region.

Surface defect gap solitons in two-dimensional optical lattices

2012 ◽  
Vol 21 (7) ◽  
pp. 074206 ◽  
Author(s):  
Yun-Ji Meng ◽  
You-Wen Liu ◽  
Yu-Huang Tang
Keyword(s):  
Surface Defect ◽  
Optical Lattices ◽  
Two Dimensional ◽  
Gap Solitons

Dark matter-wave gap solitons in dense ultracold atoms trapped by a one-dimensional optical lattice

2021 ◽  
Vol 103 (1) ◽  
Author(s):  
Jiawei Li ◽  
Jianhua Zeng
Keyword(s):  
Dark Matter ◽  
Optical Lattice ◽  
Ultracold Atoms ◽  
Matter Wave ◽  
One Dimensional ◽  
Gap Solitons

Gap solitons supported by an optical lattice in biased photorefractive crystals having both the linear and quadratic electro-optic effect

2020 ◽  
Vol 75 (8) ◽  
pp. 749-756
Author(s):  
Aavishkar Katti ◽  
Chittaranjan P. Katti
Keyword(s):  
Band Gap ◽  
Optical Lattice ◽  
Propagation Constant ◽  
Gap Soliton ◽  
Electro Optic ◽  
Quadratic Nonlinearities ◽  
Existence And Stability ◽  
Gap Solitons ◽  
Finite Band ◽  
First Time

AbstractWe investigate the existence and stability of gap solitons supported by an optical lattice in biased photorefractive (PR) crystals having both the linear and quadratic electro-optic effect. Such PR crystals have an interesting interplay between the linear and quadratic nonlinearities. Gap solitons are predicted for the first time in such novel PR media. Taking a relevant example (PMN-0.33PT), we find that the gap solitons in the first finite bandgap are single humped, positive and symmetric solitons while those in the second finite band gap are antisymmetric and double humped. The power of the gap soliton depends upon the value of the axial propagation constant. We delineate three power regimes and study the gap soliton profiles in each region. The gap solitons in the first finite band gap are not linearly stable while those in the second finite band gap are found to be stable against small perturbations. We study their stability properties in detail throughout the finite band gaps. The interplay between the linear and quadratic electro-optic effect is studied by investigating the spatial profiles and stability of the gap solitons for different ratios of the linear and quadratic nonlinear coefficients.

Intrinsical localization of both topological (anti-kink) envelope and gray (black) gap solitons of the condensed bosons in deep optical lattices

2020 ◽  
Vol 30 (12) ◽  
pp. 123133
Author(s):  
Y. Wang ◽  
J. W. Ding ◽  
D. L. Wang ◽  
W. M. Liu
Keyword(s):  
Optical Lattices ◽  
Gap Solitons

Matter-Wave Gap Solitons and Vortices in Three-Dimensional Parity-Time-Symmetric Optical Lattices

2021 ◽  
Author(s):  
Jiawei Li ◽  
Yanpeng Zhang ◽  
Jianhua Zeng
Keyword(s):  
Optical Lattices ◽  
Three Dimensional ◽  
Matter Wave ◽  
Gap Solitons

Magic wavelengths of the optical clock transition at 877 nm of barium

2014 ◽  
Vol 28 (23) ◽  
pp. 1450183 ◽  
Author(s):  
Geng-Hua Yu ◽  
Qi-Ming Xu ◽  
Chao Zhou ◽  
Liang Liang ◽  
Long Li ◽  
...  
Keyword(s):  
Theoretical Calculation ◽  
Optical Lattice ◽  
Optical Lattices ◽  
Optical Clock ◽  
Light Shift ◽  
Laser Trapping ◽  
Clock Transition ◽  
Linearly Polarized

Magic wavelengths for laser trapping of barium atoms in the optical lattices are investigated while considering the optical clock transition at 877 nm between the 6s21S0 state and 6s5d 1D2 state. Theoretical calculation shows that there are several magic wavelengths with the linearly polarized trapping laser. The trap depths of the optical lattice and the slope of light shift difference with different magic wavelengths are also discussed and analyzed. Some of these magic wavelengths are selected and recommended for the optical lattice trapping laser.

A New Model for the Relationship Between Vibration Characteristics Caused by the Time-Varying Contact Stiffness of a Deep Groove Ball Bearing and Defect Sizes

2015 ◽  
Vol 137 (3) ◽  
Author(s):  
Jing Liu ◽  
Yimin Shao ◽  
W. D. Zhu
Keyword(s):  
Surface Defect ◽  
Ball Bearing ◽  
Contact Stiffness ◽  
Vibration Characteristics ◽  
Time Varying ◽  
Defect Depth ◽  
Deep Groove ◽  
Deep Groove Ball Bearing ◽  
Length Width ◽  
The Relationship

Vibration characteristics of a deep groove ball bearing caused by a localized surface defect are greatly affected by defect sizes, such as the length, width, and depth. However, effects of the defect depth, the time-varying contact stiffness between the ball and defect, and the relationship between the time-varying contact stiffness and defect sizes have not been considered in previous defect models. In this work, a new defect model considering a new force–deflection relationship is presented to replace the Hertzian force–deflection relationship to describe the ball-line contact between the ball and defect edge. Both the time-varying displacement impulse and time-varying contact stiffness are considered. The relationship between the time-varying contact stiffness and defect sizes is obtained. Effects of defect sizes on the vibrations of the deep groove ball bearing, especially the defect depth that cannot be described by previous defect models, are investigated. The simulation results are compared with those from the previous defect models. The results show that the model developed can predict a more realistic impulse caused by a localized surface defect for dynamic simulation of the deep groove ball bearing. An experimental investigation is also presented to validate the proposed model.

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