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1

Controllable propagation of Pearcey–Gaussian beams in photorefractive media with fractional Schrödinger equation

Guo Teng, Gao Ru, Ren Shumin, Wang Pengxiang, Xiao Yan

Optica Applicata

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2022

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Vol. 52, nr 4

627--638

EN

Taking the fractional Schrödinger equation as the theoretical model, the evolution behavior of the Pearcey–Gaussian beam in the photorefractive medium is studied. The results show that breathing solitons are generated when the nonlinear effect and the diffraction effect are balanced with each other. Nonlinear coefficients, Lévy index and beams amplitude affect breathing period of the soliton and maximum peak intensity. Within a certain range, the breathing period of the soliton decreases with the increase of the nonlinear coefficient and the Lévy index. However when the beams amplitude increases, the breathing period and the maximum peak intensity of the soliton increase. Under the photorefractive effect, due to the bidirectional self-acceleration property of the Pearcey beam, the solitons formed will propagate vertically. These properties can be used to manipulate the beam and have potential applications in optical switching, plasma channeling, particle manipulation, etc.

2

Transmission stability of chirped dark vector quasi-solitons in birefringent fiber system with nonlinear gain

Xiao Yan, Zhang Jing, He Qi

Optica Applicata

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2021

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Vol. 51, nr 1

51--58

EN

In this article, we consider the coupled Ginzburg–Landau equation with variable coefficients including the nonlinear gain and obtain the exact solutions of chirped dark vector quasi-solitons via the ansatz method. Next, the propagation of chirped dark vector quasi-solitons is discussed to verify whether they can be transmitted stably in the birefringent optical fiber system. The numerical simulation shows that this can be achieved. We deeply add the small perturbation to the transmission of dark vector quasi-solitons to make the results above more general. The results further prove the correctness of our solutions.

3

Transmission of M-type combined solitary wave in the birefringent fiber with comprehensive management

Xiao Yan, Bai Xiao-Qin, Li Chang-Yong, Lv Ting-Ting

Optica Applicata

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2020

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Vol. 50, nr 2

241--250

EN

In this paper, we reveal the transmission properties of the M-type combined solitary wave in birefringent fiber with third-order dispersion, self-frequency shift, self-steepening, fifth-order nonlinearity and the gain (loss) effects. The numerical simulations show that the M-type solitary wave can be stably transmitted through 300 dispersion lengths via balancing the variety of effects. And it can even be stably transmitted under the condition of limited interference under a small perturbation of noise, amplitude and phase position. The results can provide certain references for there search of optical soliton communication and optical devices.