Persistence and breakdown of Airy beams driven by an initial nonlinearity

Hu, Yi; Huang, Simon; Zhang, Peng; Lou, Cibo; Xu, Jingjun; Chen, Zhigang

doi:10.1364/ol.35.003952

Cited by 88 publications

(61 citation statements)

References 17 publications

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“…Other works have also shown the persistence of their features inside self-defocusing nonlinear media [12]. All these unique properties have already been utilized to open a number of application fields, such as beam trajectory control [13], optical micromanipulation [14,15,16], vacuum electron acceleration [17], curved plasma filaments [18], Airy plasmon-polaritons [19,20,21], and abruptly autofocusing waves [22].…”

Section: Introductionmentioning

confidence: 97%

Reflection and refraction of an Airy beam at a dielectric interface

Chremmos

Efremidis

2012

J. Opt. Soc. Am. A

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Reflection and refraction of a finite-power Airy beam at the interface between two dielectric media are investigated analytically and numerically. The formulation takes into account the paraxial nature of the optical beams to derive convenient field evolution equations in coordinate frames moving along Snell's refraction and reflection axes. Through numerical simulations, the self-accelerating dynamics of the Airy-like refracted and reflected beams are observed. Of special interest are the cases of critical incidence at Brewster and total-internal-reflection (TIR) angles. In the former case, we find that the reflected beam achieves self-healing, despite the severe suppression of a part of its spectrum, while, in the latter case, the beam remains nearly unaffected except for the GoosHänchen shift. The self-accelerating quality persists even if the beam is trapped by multiple TIRs inside a dielectric film. The grazing incidence of an Airy beam at the interface between two media with close refractive indices is also investigated, revealing that the interface can act as a filter depending on the beam scale and tilt. We finally consider reverse refraction and perfect imaging of an Airy beam into a left-handed medium.

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Section: Introductionmentioning

confidence: 97%

Reflection and refraction of an Airy beam at a dielectric interface

Chremmos

Efremidis

2012

J. Opt. Soc. Am. A

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“…Although radially symmetric Airy beams display self-focusing in a nonlinear (NL) medium [7,16,28], the interaction between two Airy beams with varying distance between them has not been studied much. Until now, the experimental observation of Airy beams [2], Airy beams in NL materials [5,14], and accelerating nonlinear beams [26,29,30] in NL materials has been reported. In theory, the splitting of Airy waves into solitons in a Kerr medium was analyzed in [31] and related to this, the splitting of higher-order solitons into a chain of fundamental solitons under the action of third-order dispersion was reported in [32].…”

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confidence: 99%

Interactions of Airy beams, nonlinear accelerating beams, and induced solitons in Kerr and saturable nonlinear media

et al. 2014

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Abstract:We investigate numerically interactions between two in-phase or out-of-phase Airy beams and nonlinear accelerating beams in Kerr and saturable nonlinear media in one transverse dimension. We discuss different cases in which the beams with different intensities are launched into the medium, but accelerate in opposite directions. Since both the Airy beams and nonlinear accelerating beams possess infinite oscillating tails, we discuss interactions between truncated beams, with finite energies. During interactions we see solitons and soliton pairs generated that are not accelerating. In general, the higher the intensities of interacting beams, the easier to form solitons; when the intensities are small enough, no solitons are generated. Upon adjusting the interval between the launched beams, their interaction exhibits different properties. If the interval is large relative to the width of the first lobes, the generated soliton pairs just propagate individually and do not interact much. However, if the interval is comparable to the widths of the maximum lobes, the pairs strongly interact and display varied behavior.

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“…The experimental setup illustrated in Fig. 1 is similar to that used in our prior demonstrations of linear and nonlinear control of two-dimensional (2D) Airy beams [10,11]. As in the case for 2D Airy beams, the CAB is generated with the assistance of a spatial light modulator (SLM).…”

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confidence: 99%

Trapping and guiding microparticles with morphing autofocusing Airy beams

et al. 2011

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We observe optical trapping and manipulation of dielectric microparticles using autofocusing radially symmetric Airy beams. This is accomplished by exploiting either the inward or outward transverse acceleration associated with their chirped wavefronts. We experimentally demonstrate, for the first time to our knowledge, that such Airy beams morph into nondiffracting Bessel beams in their far-field. Furthermore, the ability of guiding and transporting microparticles along the primary rings of this class of beams is explored.

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Persistence and breakdown of Airy beams driven by an initial nonlinearity

Cited by 88 publications

References 17 publications

Reflection and refraction of an Airy beam at a dielectric interface

Reflection and refraction of an Airy beam at a dielectric interface

Interactions of Airy beams, nonlinear accelerating beams, and induced solitons in Kerr and saturable nonlinear media

Trapping and guiding microparticles with morphing autofocusing Airy beams

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