Solitons shedding from Airy beams and bound states of breathing Airy solitons in nonlocal nonlinear media

Shen, Ming; Gao, Jinsong; Ge, Lijuan

doi:10.1038/srep09814

Cited by 79 publications

(55 citation statements)

References 58 publications

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“…In the case of two transverse dimensions, the effect of wave collapse was examined in [96]. Airy waves in different types of nonlocal nonlinearities have also been studied [97,98].…”

Section: Nonlinear Dynamicsmentioning

confidence: 99%

Airy beams and accelerating waves: an overview of recent advances

Efremidis¹,

Chen²,

Segev³

et al. 2019

Optica

379

149

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Over the last dozen of years, the area of accelerating waves has made considerable advances not only in terms of fundamentals and experimental demonstrations but also in connection to a wide range of applications. Starting from the prototypical Airy beam that was proposed and observed in 2007, new families of accelerating waves have been identified in the paraxial and nonparaxial domains in space and/or time, with different methods developed to control at will their trajectory, amplitude, and beam width. Accelerating optical waves exhibit a number of highly desirable attributes. They move along a curved or accelerating trajectory while being resilient to perturbations (self-healing), and, are diffraction-free. It is because of these particular features that accelerating waves have been utilized in a variety of applications in the areas of filamentation, beam focusing, particle manipulation, biomedical imaging, plasmons, and material processing among others.

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“…In the case of two transverse dimensions, the effect of wave collapse was examined in [96]. Airy waves in different types of nonlocal nonlinearities have also been studied [97,98].…”

Section: Nonlinear Dynamicsmentioning

confidence: 99%

Airy beams and accelerating waves: an overview of recent advances

Efremidis¹,

Chen²,

Segev³

et al. 2019

Optica

379

149

View full text Add to dashboard Cite

show abstract

“…Owing to the conservation laws and the stability of both beams, the properties of the soliton and nonlinear accelerating beam are quite immune to the collision, although the main lobe is affected both in amplitude and width, but it still conserves accelerating property, which is different from the cases mentioned above. We would like to note that interactions of Airy beams have been also carried out in other type nonlinear media, for example, nonlocal nonlinear media [49,50] and photorefractive nonlinear media [51,52]. Recent years, nonlinear modulation on Airy beams in the temporal domain [53][54][55] has attracted more and more attention.…”

Section: Soliton and Kerr Casementioning

confidence: 99%

Guided Self-Accelerating Airy Beams—A Mini-Review

Zhang¹,

Zhong²,

Belić³

et al. 2017

Preprint

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Owing to the nondiffracting, self-accelerating, and self-healing properties, Airy beams of different nature have become a subject of immense interest in the past decade. Their interesting properties have opened doors to many diverse applications. Consequently, the questions of how to properly design spatial manipulation of Airy beams or how to implement them in different setups have become important and timely in the development of various optical devices. Here, based on our previous work, we present a short review on the spatial control of Airy beams, including the interactions of Airy beams in nonlinear media, beam propagation in harmonic potential, and the dynamics of abruptly autofocusing Airy beams in the presence of a dynamic linear potential. We demonstrate that under the guidance of nonlinearity and external potential, the trajectory, acceleration, structure, and even the basic properties of Airy beams can be adjusted to suit specific needs. We describe other fascinating phenomena observed with Airy beams, such as self-Fourier transformation, periodic inversion of Airy beams, and the appearance of spatial solitons in the presence of nonlinearity. These results have promoted the development of Airy beams, and have been utilized in various applications, including particle manipulation, self-trapping, and electronic matter waves.

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“…This self-healing, shape-preserving, accelerating beam has multiple applications from manipulating microparticles [3] and plasma channel generation [4] to all-optical routing [5], or light-sheet microscopy [6]. Recently, the self trapping character of Airy beams in biased nonlinear media has suggested interesting dynamics such as soliton-like behaviors [7][8][9][10][11]. Co-propagating Airy beams and their interactions have been studied in different medias ranging from nematic liquid crystals [12] to photonic lattices [13] or threewave systems [14].…”

Section: Introductionmentioning

confidence: 99%

Light-induced interconnects using nonlinear Airy beam interactions

et al. 2019

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We analyze numerically optical waveguiding structures created in photorefractive media by two incoherent counter-propagating 1D Airy beams under nonlinear self-focusing conditions. We then inject a Gaussian probe beam to test our waveguiding structure. By using an anti-symmetric Airy beam configuration in stationary conditions, we find rich and complex waveguiding structures with multiple input to multiple output configurations and transverse input-to-output shifts up to 13 times the guided beam's waist.

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Solitons shedding from Airy beams and bound states of breathing Airy solitons in nonlocal nonlinear media

Cited by 79 publications

References 58 publications

Airy beams and accelerating waves: an overview of recent advances

Airy beams and accelerating waves: an overview of recent advances

Guided Self-Accelerating Airy Beams—A Mini-Review

Light-induced interconnects using nonlinear Airy beam interactions

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Solitons shedding from Airy beams and bound states of breathing Airy solitons in nonlocal nonlinear media

Cited by 79 publications

References 58 publications

Airy beams and accelerating waves: an overview of recent advances

Airy beams and accelerating waves: an overview of recent advances

Guided Self-Accelerating Airy Beams&mdash;A Mini-Review

Light-induced interconnects using nonlinear Airy beam interactions

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Product

Resources

About

Guided Self-Accelerating Airy Beams—A Mini-Review