45
45

Sep 18, 2013
09/13

by
Shuang Liu; Caiwen Ma; Yiqi Zhang; Keqing Lu

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The effect of competing nonlinearity on beam dynamics in parity-time $(\mathcal{PT})$ symmetric potentials is investigated. By using numerical methods, the existence of gap solitons is demonstrated in the first Bragg gap of optical $\mathcal{PT}$ symmetric lattices with competing nonlinearity. Meanwhile, the stability of such solitons is analyzed through introducing a small perturbation to the solitary solutions. The abrupt annihilation of the solitons during propagation demonstrates the Bragg...

Source: http://arxiv.org/abs/1201.0251v1

103
103

Sep 17, 2013
09/13

by
Xuewen Long; Keqing Lu; Yuhong Zhang; Jianbang Guo; Kehao Li

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The analytical vectorial structure of non-paraxial four-petal Gaussian beams(FPGBs) in the far field has been studied based on vector angular spectrum method and stationary phase method. In terms of analytical electromagnetic representations of the TE and TM terms, the energy flux distributions of the TE term, the TM term, and the whole beam are derived in the far field, respectively. According to our investigation, the FPGBs can evolve into a number of small petals in the far field. The number...

Source: http://arxiv.org/abs/1003.5768v1

41
41

Sep 22, 2013
09/13

by
Xuewen Long; Keqing Lu; Yuhong Zhang; Jianbang Guo; Kehao Li

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Based on the vector angular spectrum method and the stationary phase method and the fact that a circular aperture function can be expanded into a finite sum of complex Gaussian functions, the analytical vectorial structure of a four-petal Gaussian beam (FPGB) diffracted by a circular aperture is derived in the far field. The energy flux distributions and the diffraction effect introduced by the aperture are studied and illustrated graphically. Moreover, the influence of the f-parameter and the...

Source: http://arxiv.org/abs/1004.4786v1

37
37

Sep 19, 2013
09/13

by
Yiqi Zhang; Stefan Skupin; Fabian Maucher; Arpa Galestian Pour; Keqing Lu; Wieslaw Królikowski

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We show that weakly guiding nonlinear waveguides support stable propagation of rotating spatial solitons (azimuthons). We investigate the role of waveguide symmetry on the soliton rotation. We find that azimuthons in circular waveguides always rotate rigidly during propagation and the analytically predicted rotation frequency is in excellent agreement with numerical simulations. On the other hand, azimuthons in square waveguides may experience spatial deformation during propagation. Moreover,...

Source: http://arxiv.org/abs/1010.3664v1

37
37

Sep 22, 2013
09/13

by
Yiqi Zhang; Zhenkun Wu; Chenzhi Yuan; Xin Yao; Keqing Lu; Milivoj Belić; Yanpeng Zhang

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In a numerical investigation, we demonstrate the existence and curious evolution of vortices in a ladder-type three-level nonlinear atomic vapor with linear, cubic, and quintic susceptibilities considered simultaneously with the dressing effect. We find that the number of beads and topological charge of the incident beam, as well as its size, greatly affect the formation and evolution of vortices. To determine the number of induced vortices and the corresponding rotation direction, we give...

Source: http://arxiv.org/abs/1210.1939v1

2
2.0

Jun 30, 2018
06/18

by
Yiqi Zhang; Milivoj R. Belić; Weiping Zhong; Feng Wen; Yang Guo; Yao Guo; Keqing Lu; Yanpeng Zhang

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We numerically investigate the light beam propagation in periodic waveguide arrays which are elaborately modulated with certain structures. We find that the light beam may split, coalesce, deflect, and be localized during propagation in these spatially modulated waveguide arrays. All the phenomena originate from Bloch oscillations, and supply possible method for fabricating on-chip beam splitters and beam combiners.

Topics: Physics, Optics

Source: http://arxiv.org/abs/1412.3272

4
4.0

Jun 30, 2018
06/18

by
Yiqi Zhang; Milivoj R. Belić; Milan S. Petrović; Huaibin Zheng; Haixia Chen; Changbiao Li; Keqing Lu; Yanpeng Zhang

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We introduce two-dimensional (2D) linear and nonlinear Talbot effects. They are produced by propagating periodic 2D diffraction patterns and can be visualized as 3D stacks of Talbot carpets. The nonlinear Talbot effect originates from 2D rogue waves and forms in a bulk 3D nonlinear medium. The recurrences of an input rogue wave are observed at the Talbot length and at the half-Talbot length, with a \pi phase shift; no other recurrences are observed. Different from the nonlinear Talbot effect,...

Topics: Physics, Nonlinear Sciences, Optics, Pattern Formation and Solitons

Source: http://arxiv.org/abs/1412.0236