Boundary force exerted on spatial solitons in cylindrical strongly nonlocal media

Shou, Qian; Liang, Yong; Jiang, Qun; Ya-Jian, Zheng; Lan, Sheng; Hu, Wei; Guo, Qi

doi:10.1364/ol.34.003523

Cited by 40 publications

(39 citation statements)

References 18 publications

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“…The term G 1 is symmetric with respect to the beam center and thus provides the self-focusing effect that sustains the soliton [27]. On the other hand, the terms G 2 and G H produce a steering force on the beam.…”

Section: Analytical Resultsmentioning

confidence: 99%

Soliton dynamics in finite nonlocal media with cylindrical symmetry

2019

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The effect of finite boundaries in the propagation of spatial nonlocal solitons in media with cylindrical symmetry is analyzed. Using Ehrenfest's theorem together with the Green's function of the nonlinear refractive index equation, we derive an analytical expression for the force exerted on the soliton by the boundaries, verifying its validity by full numerical propagation. We show that the dynamics of the soliton are determined not only by the degree of nonlocality, but also by the boundary conditions for the refractive index. In particular, we report that a supercritical pitchfork bifurcation appears when the boundary condition exceed a certain threshold value. *

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Section: Analytical Resultsmentioning

confidence: 99%

Soliton dynamics in finite nonlocal media with cylindrical symmetry

2019

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“…The key assumption in this paper is that the optical fields all locate in the nonlinear medium when two media have a large difference in the linear refractive index, and the intensity at the interface can be negligible as I = 0. This method is similar to the image beam method [28] in dealing with the boundary force exerted on spatial solitons, which is an analog of the well-known image charge method. By introducing image beams, the boundary conditions are automatically satisfied and analytical solutions can be found conveniently.…”

Section: Discussionmentioning

confidence: 99%

Solution for (1+1)-dimensional surface solitons in thermal nonlinear media

Yang

et al. 2011

Phys. Rev. A

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Analytical solutions for (1+1)-dimensional surface fundamental solitons in thermal nonlinear media are obtained. The stationary position and the critical power of surface solitons are obtained using these analytical solutions. The analytical solutions are verified by numerical simulations. The solutions for surface breathers and their breathing period, along with solutions for surface dipole and tripole solitons, are also given.

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“…In the literature, interaction with boundaries was studied earlier than in [24], e.g., in lead glasses [25][26][27][28][29] and in NLC [30,31]. The VA itself was applied to nematicons in a biased cell well before Petrovic et al, see [32,33].…”

Section: Point By Point Responsementioning

confidence: 99%