A note on an accelerating finite energy Airy beam

Besieris, Ioannis M.; Shaarawi, Amr M.

doi:10.1364/ol.32.002447

Cited by 165 publications

(96 citation statements)

References 3 publications

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“…Therefore the field near the caustic is distributed like an Airy function irrespective of the caustic's shape. Additionally, (6) shows that the width of this Airy-like beam generally varies with ξ c , or equivalently with the propagation distance z c , in agreement with our previous comment that accelerating beams with arbitrary trajectories are generally not diffraction-free. Quasi-diffractionless propagation occurs only when q…”

Section: Accelerating Beam Dynamicssupporting

confidence: 90%

“…1(b)]. For these finite-energy wavepackets too, the acceleration is perceived as a quadratic lateral shift of their intensity pattern, which is an interference phenomenon and not a violation of Ehrenfest's theorem, as their centroid remains fixed with range [6]. Soon, the new optical beams were produced in the laboratory [7] based on the key remark that the function Ai (x) exp (ax) has a closed-form Fourier transform U (ω) = exp i(ω + ia) 3 /3 .…”

Section: Introductionmentioning

confidence: 99%

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Accelerating and Abruptly-Autofocusing Beam Waves in the Fresnel Zone of Antenna Arrays

Chremmos

Fikioris

Efremidis

2013

IEEE Trans. Antennas Propagat.

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We introduce the concept of spatially accelerating (curved) beam waves in the Fresnel region of properly designed antenna arrays. These are transversely localized EM waves that propagate in free space in a diffraction-resisting manner, while at the same time laterally shifting their amplitude pattern along a curved trajectory. The proposed beams are the radiowave analogue of Airy and related accelerating optical waves, which, in contrast to their optical counterparts, are produced by the interference of discrete radiating elements rather than by the evolution of a continuous wavefront. Two dyadic array configurations are proposed comprising 2D line antennas: linear phased arrays with a power-law phase variation and curved power-law arrays with in-phase radiating elements. Through analysis and numerical simulations, the formation of broadside accelerating beams with power-law trajectories is studied versus the array parameters. Furthermore, the abrupt autofocusing effect, that occurs when beams of this kind interfere with opposite acceleration, is investigated. The concept and the related antenna setups can be of use in radar and wireless communications applications.

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Section: Accelerating Beam Dynamicssupporting

confidence: 90%

Section: Introductionmentioning

confidence: 99%

Accelerating and Abruptly-Autofocusing Beam Waves in the Fresnel Zone of Antenna Arrays

Chremmos

Fikioris

Efremidis

2013

IEEE Trans. Antennas Propagat.

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“…Both conjugate fields are explicitly given by [13]: (1) where x 0 accounts for the size of the Airy central lobe, and the parameter a > 0 is the exponential truncation factor that guarantees the square integrability of the beam and controls its spreading properties [1,14]. The linear phase term expiKa 2 x 0 has no real effect in the beam properties for the range of a where the self-bending dynamic dominates (a ≪ 1) and in practice, is not considered.…”

mentioning

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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“…For the case when α = 0, the slope is close to x/2k 2 y 3 0 provided that α is very small [4,18]. The intensity maxima of the Airy beam is a parabolic trajectory characterized by…”

Section: Analytical Expression For Optical Forcementioning

confidence: 89%

“…1 where the input plane of the system is set to be x = 0. The initial field profile is [3,4,[18][19][20] E…”

Section: Description Of An Airy Beammentioning

confidence: 99%

Driving a Dielectric Cylindrical Particle With a One Dimensional Airy Beam: A Rigorous Full Wave Solution

Lu¹,

Lin²,

Liu³

2011

PIER

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Abstract-We present a rigorous full wave calculation of the optical force on a dielectric cylindrical particle of an arbitrary size under the illumination of one dimensional (1D) Airy beam. The radiation force is written in terms of the cylindrical partial wave expansion coefficients of the non-paraxial 1D Airy beams. Our simulation results demonstrate that an Airy beam can accelerate the microparticles along its parabolic trajectory, while transverse to which the particles are trapped at the center of its main lobe, corroborating the possibility of the long distance particle transport by means of an Airy beam.

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A note on an accelerating finite energy Airy beam

Cited by 165 publications

References 3 publications

Accelerating and Abruptly-Autofocusing Beam Waves in the Fresnel Zone of Antenna Arrays

Accelerating and Abruptly-Autofocusing Beam Waves in the Fresnel Zone of Antenna Arrays

Symmetric Airy beams

Driving a Dielectric Cylindrical Particle With a One Dimensional Airy Beam: A Rigorous Full Wave Solution

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