Optimal control of the ballistic motion of Airy beams

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

doi:10.1364/ol.35.002260

Cited by 163 publications

(88 citation statements)

References 12 publications

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“…Several methods have been devoted to generate the Airy beams with finite energy. Among these, we can cite the cubic phase, 3/2 phase only pattern and three-wave mixing processes in asymmetric nonlinear photonic crystals [13][14][15][16][17][18].…”

Section: Introductionmentioning

confidence: 99%

Novel Finite Airy Array Beams Generated From Gaussian Array Beams Illuminating an Optical Airy Transform System

Ez-zariy¹,

Hricha²,

Belafhal³

2016

PIER M

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Abstract-In this work, a novel family of Finite Airy array beams have been produced by an optical Airy transform system illuminated by Gaussian Array beams. Based on the generalized HuygensFresnel integral, an analytical expression is developed to describe the pattern properties of the beam generated at the output plan of the optical system. The well-known Finite Airy beam generated from the fundamental Gaussian beam using an optical Airy transform system is deduced, here, as a particular case of the main result of the actual study. Numerical calculations are performed to show the possibility to create a multitude of Finite Airy array beams with controllable parameters depending on the number of beamlets, the distance between the adjacent modules and the positions and orientations of the beamlets.

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Section: Introductionmentioning

confidence: 99%

Novel Finite Airy Array Beams Generated From Gaussian Array Beams Illuminating an Optical Airy Transform System

Ez-zariy¹,

Hricha²,

Belafhal³

2016

PIER M

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“…In this case, the beam is equivalent to an obliquely incident beam, but without the ballistic properties due to the harmonic potential [3,68]. If the initial finite energy Airy beam carries a quadratic chirp,…”

Section: One-dimensional Airy Beamsmentioning

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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“…One of the reasons for a wide and growing interest in the famous accelerating Airy Beams (AiB) [1,2] and other curved caustic beams [3] is their reported ability to self-heal during propagation [3][4][5][6][7][8]. The applications of this feature in optical micromanipulation and correlated branches [9] and in beam propagation through inhomogeneous and turbulent media [10,11] encouraged the crescent study of this class of beams. The self-healing property of Airy beams basically consists in the "regeneration" of the main curved lobe when it is obstructed.…”

Section: Introductionmentioning

confidence: 99%

Dual behavior of caustic optical beams facing obstacles

et al. 2017

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A full propagation analysis on both fold-type and cusp-type caustic optical beams under various setups of obstructions is theoretically and experimentally performed. It is demonstrated that the self-healing property of caustic optical beams that include the famous Airy beam is a quite relative property. In fact, fold-type and cusp-type beams cannot only behave as self-healing beams by blocking the main intensity peak, but also behave as self-breaking ones in a nonintuitive manner: by blocking a lateral side of the beam without touching the central intensity peak. The regeneration and rupture processes of caustic beams follow a nonlocal propagation dynamic unlike the other conventional beams. Moreover, deep differences between fold and cusp caustic beams are pointed out once facing certain obstructions. The cusp-caustic beam can be broken down by the obstacle placed in a dark zone outside the caustic region, while the fold-type one remains unaltered. This beam rupture confirms the key role of a hidden propagating field in the shadow region for cusp beams that coexist with the evanescent one. The obtained results cast down the established idea that the Airy beam is a robust self-healing beam since any caustic beam can behave in a dual manner depending on the obstruction location. These facts open up different perspectives for the applications in which the self-healing properties of the beam are relevant.

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Optimal control of the ballistic motion of Airy beams

Cited by 163 publications

References 12 publications

Novel Finite Airy Array Beams Generated From Gaussian Array Beams Illuminating an Optical Airy Transform System

Novel Finite Airy Array Beams Generated From Gaussian Array Beams Illuminating an Optical Airy Transform System

Guided Self-Accelerating Airy Beams—A Mini-Review

Dual behavior of caustic optical beams facing obstacles

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Optimal control of the ballistic motion of Airy beams

Cited by 163 publications

References 12 publications

Novel Finite Airy Array Beams Generated From Gaussian Array Beams Illuminating an Optical Airy Transform System

Novel Finite Airy Array Beams Generated From Gaussian Array Beams Illuminating an Optical Airy Transform System

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

Dual behavior of caustic optical beams facing obstacles

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Product

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Guided Self-Accelerating Airy Beams—A Mini-Review