Reviews of Recent Researches on Airy Beams

Jia, 徐佳 Xu; Juan, 刘娟 Liu; Jinghui, 谢敬辉 Xie; Yongtian, 王涌天 Wang

doi:10.3788/lop47.070501

激光与光电子学进展

2010

DOI: 10.3788/lop47.070501

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Reviews of Recent Researches on Airy Beams

徐佳 Xu Jia¹,

刘娟 Liu Juan²,

谢敬辉 Xie Jinghui³

et al.

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Optical radiation force on a dielectric sphere by a polarized Airy beam

Tang

Sun

et al. 2022

J. Opt. Soc. Am. A

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The optical radiation force acting on a homogeneous and lossless dielectric spherical particle by a polarized Airy beam is analyzed in terms of the generalized Lorenz–Mie theory. The transverse and longitudinal radiation force components are theoretically evaluated and numerically simulated, emphasizing the transverse scale ω 0 , attenuation parameter γ , and polarization of the incident Airy beam versus the size parameter k a of the sphere. These results reveal that a polarized Airy beam can trap the dielectric sphere in its main caustic or sidelobes of the beam by the optical transverse force and be guided along the parabolic trajectory of the longitudinal optical force. Moreover, γ and ω 0 of the Airy beams and k a of the dielectric sphere can affect the amplitude and distribution of the optical force components. This research may be helpful for the development of Airy optical tweezers in applications involving particle manipulation, optical levitation, particle sorting, and other emergent areas.

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Optical radiation force on a dielectric sphere by a polarized Airy beam

Tang

Sun

et al. 2022

J. Opt. Soc. Am. A

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Local spatial frequency of Airy accelerating beams and its applications in the beam design

Cheng-Shan¹,

Wang²,

Rong³

et al. 2013

Acta Phys. Sin.

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Airy accelerating beams have aroused a great deal of interest because of their non-diffracting and self-accelerating properties, which have many potential applications such as in optical micromanipulations, nonlinear optics and vacuum electron acceleration. A key issue in research of the acceleration beam and its applications is how to generate this specific type of beams with high energy efficiency. In this paper, the spatial oscillation properties of the complex amplitude of an accelerating beam are analyzed and a theory describing the accelerating properties of the beam based on its local spatial frequency is proposed. The local spatial frequency of a general Airy beam is calculated through the zero-point coordinates of the Airy function, and an analytical formula accurately describing the local spatial frequency distribution is given. The relationship between the local spatial frequency and the accelerating trajectory of the beam is also given, based on which a simple algorithm for finding the pure-phase expression of an acceleration beam from its given accelerating trajectory is presented. Finally an analytical expression of the pure-phase function of an acceleration beam for generating a circle-arced trajectory is found out, based on which a pure-phase diffractive optical element is designed and demonstrated successfully.

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Reviews of Recent Researches on Airy Beams

Cited by 2 publications

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Optical radiation force on a dielectric sphere by a polarized Airy beam

Optical radiation force on a dielectric sphere by a polarized Airy beam

Local spatial frequency of Airy accelerating beams and its applications in the beam design

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