Accelerating Optical Beams

Bandres, Miguel A.; Kaminer, Ido; Mills, Matthew S.; Rodríguez-Lara, B. M.; Greenfield, E. W.; Segev, M.; Christodoulides, Demetrios N.

doi:10.1364/opn.24.6.000030

Cited by 83 publications

(53 citation statements)

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“…Nowadays, it constitutes an important research area of optical beam propagation and design [5]. This beam is a separable solution of the Helmholtz equation in the paraxial regime for rectangular coordinates, and therefore, it can be generated in one or two transverse dimensions.…”

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confidence: 99%

Symmetric Airy beams

et al. 2014

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In this Letter a new class of light beam arisen from the symmetrization of the spectral cubic phase of an Airy beam is presented. The symmetric Airy beam exhibits peculiar features. It propagates at initial stages with a single central lobe that autofocuses and then collapses immediately behind the autofocus. Then, the beam splits into two specular off-axis parabolic lobes like those corresponding to two Airy beams accelerating in opposite directions. Its features are analyzed and compared to other kinds of autofocusing beams; the superposition of two conventional Airy beams having opposite accelerations (in rectangular coordinates) and also to the recently demonstrated circular Airy beam (in cylindrical coordinates). The generation of a symmetric Airy beam is experimentally demonstrated as well. Besides, based on its main features, some possible applications are also discussed.

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confidence: 99%

Symmetric Airy beams

et al. 2014

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“…When we set d(z) = 1, the trajectory of the beam is x p = r 0 that is a straight line, so the autofocusing does not occur during propagation, and the propagation can be described by Eq. (43). For this case, the linear potential exerts a "pulling" influence that can balance the virtual force which makes the beam focus.…”

Section: Dynamic Linear Potential Guidancementioning

confidence: 99%

“…Without doubt, it has become one of the hottest developing fields in linear and nonlinear optics [42][43][44][45]. In this review, based on our previously published work, we discuss some robust and flexible manipulation techniques applied to Airy beams.…”

Section: Introductionmentioning

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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“…Without doubt, it has become one of the hottest developing fields in linear and nonlinear optics [47][48][49][50]. In this short review, based on our previously published work, we discuss some robust and flexible manipulation techniques applied to Airy beams.…”

Section: Introductionmentioning

confidence: 99%

Guided Self-Accelerating Airy Beams—A Mini-Review

et al. 2017

View full text Add to dashboard Cite

Owing to their 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 the 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 an 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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Accelerating Optical Beams

Cited by 83 publications

References 0 publications

Symmetric Airy beams

Symmetric Airy beams

Guided Self-Accelerating Airy Beams—A Mini-Review

Guided Self-Accelerating Airy Beams—A Mini-Review

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Accelerating Optical Beams

Cited by 83 publications

References 0 publications

Symmetric Airy beams

Symmetric Airy beams

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

Guided Self-Accelerating Airy Beams—A Mini-Review

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Guided Self-Accelerating Airy Beams—A Mini-Review