Nonlocal solitons

Krolikowski, W.; Bang, Ole; Briedis, D.; Dreischuh, A.; Edmundson, D.; Luther‐Davies, Barry; Neshev, D.; Nikolov, Nikolai Georgiev; Petersen, Dan; Rasmussen, Jens Juul; Wyller, John

doi:10.1117/12.622416

Cited by 13 publications

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“…work has attracted lots of attentions [3,7,[22][23][24][25], and experiments about the spatial nonlocality have been carried out in nematic liquid crystals [26], lead glasses [10], paraffin oils [11], and rhodamine aqueous solutions [12] for deeper and extensive investigations. On the other hand, the focusing/defocusing of the OKE refers to the phenomenon that the optical beam propagating in the bulk medium with the homogeneous n 0 can focus or defocus itself by its induced NRI [1,2].…”

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confidence: 99%

Transition between self-focusing and self-defocusing in a nonlocally nonlinear system

et al. 2019

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We reveal the relevance between the nonlocality and the focusing/defocusing states in nonlocally nonlinear media, and predict a novel phenomenon that the self-focusing/self-defocusing property of the optical beam in the nonlocally nonlinear medium with a sine-oscillation response function depends on its degree of nonlocality. The transition from the focusing nonlinearity to the defocusing nonlinearity of the nonlinear refractive index will happen when the degree of nonlocality of the system goes cross a critical value, and vise verse. Bright and dark soliton solutions are obtained, respectively, in the focusing state and in the defocusing state, and their stabilities are also discussed. It is mentioned that such a phenomenon might be experimentally realized in the nematic liquid crystal with negative dielectric anisotropy or in the quadratic nonlinear medium. PACS numbers: 42.65.Jx;42.65.Tg; 42.70.Df; 42.65.Ky. The optical Kerr effect(OKE) [1-3], as one of the most important effects in nonlinear optics, is a fundamental and widespread phenomenon in the nonlinear interactions of light with materials, such as semiconductors [4], polymers [5], liquid crystals [6, 7], soft matters [8], photorefractive [9] and thermal [10-12] media. The equivalent OKE can also be found in optical quadratic nonlinear processes [13-15], and the other physical systems, such as Bose-Einstein condensates [16], quantum electron plasmas [17], and even on the surface of water [18]. The OKE refers to the light-intensity dependence of the refractive index n, that is, n = n 0 +N, where n 0 is its linear part and N is the light-induced nonlinear refractive index (NRI). Optical solitons [3,19] are the main phenomena resulting from the OKE.The OKE is of two important intrinsic properties: the nonlocality and the focusing/defocusing. The NRI exhibits generally the nonlocality both in space and time [3]. In consideration of the spatial nonlocality in bulk materials, the NRI can be expressed phenomenologically as [3,20] where n 2 is the Kerr coefficient that is determined by material properties, the symmetric R(x) is the response function of the media and E the optical field. If R(x) becomes δ-function, then N = n 2 |E| 2 , which is the wellknown local OKE [1, 2]; Otherwise, the nonlocality is non-negligible. Systematic study on the nonlocality began with the work by Snyder and Mitchell [21]. Their * The first two authors have contributed equally to this work, with the first one mainly to analytical operations and the second one mainly to numerical simulations. The third author has contributed to analytical solution of the dark soliton. † Electronic address: guoq@scnu.edu.cn

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Transition between self-focusing and self-defocusing in a nonlocally nonlinear system

et al. 2019

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“…Nonlinearity in suitable materials might be highly nonlocal, a property that significantly alters the propagation and interaction of light beams [7][8][9][10]. Thus, in sharp contrast to the case of local media, in nonlocal media, out-of-phase bright [11][12][13] and dark [14][15][16] solito ns can attract each other, which may result in the formation of stationary [17][18][19][20][21][22][23] or rotating [24,25] bound soliton states.…”

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Enhanced soliton interactions by inhomogeneous nonlocality and nonlinearity

Kartashov

Torner

2007

Phys. Rev. A

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We address the interactions between optical solitons in the system with longitudinally varying nonlocality degree and nonlinearity strength. We consider a physical model describing light propagation in nematic liquid crystals featuring a strongly nonlocal nonlinear response. We reveal that the variation of the nonlocality and nonlinearity along the propagation direction can substantially enhance or weaken the interaction between out-of-phase solitons. This phenomenon manifests itself as a slowdown or acceleration of the soliton collision dynamics in onedimensional geometries or of the soliton spiraling rate in bulk media. Therefore, one finds that by engineering the nonlocality and nonlinearity variation rate one can control the output soliton location.PACS numbers: 42.65.Tg, 42.65.Jx, 42.65.Wi. From the viewpoint of potential application for optical signal processing and beam pointing, one of the most important properties of bright optical solitons is the particlelike behavior that they might exhibit upon interactions [1]. Depending on the character of the nonlinearity and on the interaction geometry, the interaction can have diverse outputs: For example, both one-and

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“…In this paper, what we discuss is the case that ǫ(z) gradually decreases from a positive value to the negative value. The nonlinear perturbation of the refraction index ∆n(x, z) induced by the optical beams can be expressed by [9,10]…”

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confidence: 99%

“…The spatial soliton (temporal soliton) is a result of the interaction between the linear diffraction (dispersion) effect and nonlinear effect for an optical beams (pulse) . Nonlocal nonlinearity has attracted considerable interest in various fields of optical spatial solitons [9][10][11] and optical spatial shock waves [12]. The nonlocality means that the nonlinear refractive index induced by optical beams at a particular point is not determined solely by the optical intensity at that point, but also depends on the intensity in its vicinity.…”

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confidence: 99%

Adiabatic propagation of beams in nonlocal nonlinear media with gradual loss and gain

Zheng

Liang

Guo

et al. 2023

Preprint

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We investigate the evolution of optical beam in the nonlocal nonlinear media with loss and gain using the variational approach and the numerical simulation. When the loss gradually changes to the gain, the optical beams can restore to their initial states, the phenomenon we called the "adiabatic propagation". We have proved that, as long as the changing rate of the loss and gain is small enough, the gain can exactly compensate the loss and the adiabatic propagation can occur for any beams with any profiles. However, the optical beams will shed a part of its energy as dispersive waves if they are lumped amplification like the cases of optical pulses in fibers. The numerical simulations agree well with the variational results.

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Nonlocal solitons

Cited by 13 publications

References 0 publications

Transition between self-focusing and self-defocusing in a nonlocally nonlinear system

Transition between self-focusing and self-defocusing in a nonlocally nonlinear system

Enhanced soliton interactions by inhomogeneous nonlocality and nonlinearity

Adiabatic propagation of beams in nonlocal nonlinear media with gradual loss and gain

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