Propagation properties of spatial optical solitons in different nonlocal nonlinear media with arbitrary degrees of nonlocality

Shi, Xiaofeng; Guo, Qi; Hu, Wei

doi:10.1016/j.ijleo.2007.06.021

Cited by 12 publications

(9 citation statements)

References 30 publications

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“…In all of our numerical simulations, the beam width in y-direction (a m ) is invariant but that in x-direction (a n ), beam profiles and amplitudes will adjust automatically during the iteration procedures. Then the profiles of elliptic solitons for different Lévy indexes are obtained by using the iteration algorithm which was presented by Qi Guo [36].…”

Section: Numerical Resultsmentioning

confidence: 99%

Elliptic Solitons in (1+2)-Dimensional Anisotropic Nonlocal Nonlinear Fractional Schrödinger Equation

Wang

Deng

2019

IEEE Photonics J.

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This paper obtains the numerical solutions of the elliptic solitons in a (1+2)dimensional anisotropic nonlocal nonlinear fractional Schrödinger equation, and verifies their stabilities by the direct propagation method. The results show that the properties of such solitons relatively depend on the Lévy index. Such as the soliton shape varies with the change of Lévy index. When the Lévy index decreases, the ellipticity will increase, while the critical power will decrease. Furthermore, we demonstrate the physical features exhibited by the higher order elliptic solitons for a different Lévy index.

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Section: Numerical Resultsmentioning

confidence: 99%

Elliptic Solitons in (1+2)-Dimensional Anisotropic Nonlocal Nonlinear Fractional Schrödinger Equation

Wang

Deng

2019

IEEE Photonics J.

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“…where K 0 is the zeroth-order modified Bessel function. The soliton profile in phenomenological nonlocal media is Gaussian-shaped; hence, the Gaussianshaped beam is chosen as an initial condition to obtain soliton solutions in NLC numerically using the iterative procedure [23,32]. The iterative flowchart is shown in Fig.…”

Section: Transition Of Fundamental Solitonmentioning

confidence: 99%

“…Figure 3 of Ref. [32] displays that the profile of iterative soliton in NLC is slightly different from the Gaussian-shaped beam. Our study focused on using the split-step Fourier method to simulate the evolution of this iterative solitons in NLC subject to a gradually changing characteristic length r(z).…”

Section: Transition Of Fundamental Solitonmentioning

confidence: 99%

“…Then we investigate the stability of the soliton transition in NLC by adding the noise to the initial soliton state, i.e., wðr; 0Þ ¼ A 0 ½GðrÞ þ cFðrÞ [32], where A 0 and G(r) represent the amplitude and normalized profile of the iterative soliton, F(r) denotes a random complex function having a maximum value of less than 1, and c is the coefficient of perturbation, which was set as 0.01 here. The propagation dynamics of noise-added solitons (in Fig.…”

Section: Transition Of Fundamental Solitonmentioning

confidence: 99%

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Controllable soliton transition and interaction in nonlocal nonlinear media

2020

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Two kinds of controllable evolutions of optical solitons are predicted in nonlocal nonlinear media by gradually tuning the characteristic length of response function. On the one hand, the solitons can smoothly transit among the ones of different widths. On the other hand, two parallel out-of-phase solitons can be conveniently tailored to attract or repel each other. In addition, numerical results demonstrate that all the transitions of fundamental and multipole solitons can be physically realized in actual nonlocal media, such as nematic liquid crystal, and are stable against noise. Obviously, control soliton widths and interactions have important research opportunities and application prospects in signal processing and transmission.

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“…Ding and Guo have found an approximate analytical solution of the equation by the perturbation method. In , An iteration algorithm based on the split‐step Fourier method has been developed to obtain the numerical solutions of the solitons for the equation with arbitrary degrees of nonlocality. In , the comparisons of the analytical solutions with the numerical simulations of the equation have been presented for the (1+1)‐dimensional and the (1+2)‐dimensional case, respectively, which have shown that the model was exceedingly accurate for the strong nonlocality.…”

Section: Introductionmentioning

confidence: 99%

Peakon, pseudo‐peakon, cuspon and smooth solitons for a nonlocal Kerr‐like media

Zhao

Tang

2016

Math Methods in App Sciences

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This paper presents all possible exact explicit peakon, pseudo‐peakon, cuspon and smooth solitary wave solutions for a nonlocal Kerr‐like media. We apply the method of dynamical systems to analyze the dynamical behavior of the traveling wave solutions and their bifurcations depending on the parameters of the system. We present peakon, pseudo‐peakon, cuspon soliton solution in an explicit form. We also have obtained smooth soliton. Mathematical analysis and numeric graphs are provided for those soliton solutions of the nonlocal Kerr‐like media. Copyright © 2016 John Wiley & Sons, Ltd.

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Propagation properties of spatial optical solitons in different nonlocal nonlinear media with arbitrary degrees of nonlocality

Cited by 12 publications

References 30 publications

Elliptic Solitons in (1+2)-Dimensional Anisotropic Nonlocal Nonlinear Fractional Schrödinger Equation

Elliptic Solitons in (1+2)-Dimensional Anisotropic Nonlocal Nonlinear Fractional Schrödinger Equation

Controllable soliton transition and interaction in nonlocal nonlinear media

Peakon, pseudo‐peakon, cuspon and smooth solitons for a nonlocal Kerr‐like media

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