Symmetric form-invariant dual Pearcey beams

Ren, Zhijun; Fan, Changjiang; Shi, Yile; Chen, Bin

doi:10.1364/josaa.33.001523

Cited by 55 publications

(25 citation statements)

References 20 publications

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“…Examples of higher singularities that have been studied experimentally are the parabolic and symbolic and X 9 catastrophes in light focused by water drops [45], and sections of the butterfly catastrophe in optical beams [8]. In addition, paraxial beams whose cross-sections contain four [46] or five [47] cusps have been created, though not interpreted as unfoldings of higher catastrophes. The most conceptually far-reaching example of this kind concerns the fluctuations of random short waves, which are predicted [48,49] to depend on the full hierarchy of singularities.…”

Section: Discussionmentioning

confidence: 99%

Stable and unstable Airy-related caustics and beams

Berry

2017

J. Opt.

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Optical beams with an underlying caustic structure are stable under perturbation if the caustics belong to the catastrophe-theory classification; otherwise they are unstable. The original Airy beam in two spatial dimensions, with its curved caustic, is stable in this sense. But the separable Airy-product beam in three-dimensions is unstable: under separability-breaking perturbation, it unfolds into the hyperbolic umbilic diffraction catastrophe, which is stable. By including initial phase factors, a variety of new exact solutions of the paraxial wave equation can be generated, corresponding to Pearcey and higher-catastrophe beams with stable caustics, and with the associated diffraction catastrophes appearing in their canonical forms or as deformations of these.

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Section: Discussionmentioning

confidence: 99%

Stable and unstable Airy-related caustics and beams

Berry

2017

J. Opt.

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“…Equations ( 3) and ( 4) can be calculated numerically in the method of contour rotation on the complex s plane as s → s ′ e i ∕8 , which ensures the convergence of the integral while s ′ → ±∞. [28] Therefore, under paraxial approximation, the propagation expressions of RPOPGBs in xand y-directions in free space can be obtained by Fresnel diffraction integral formulas: [28] E…”

Section: Analytic Solution Of the Rpopgbs In Free Spacementioning

confidence: 99%

“…[25] In 2014, a virtual source to generate Pearcey beams was demonstrated by Deng et al [26] In 2015, Kovalev et al [27] generated and introduced a family of form-invariant half-Pearcey beams (HP-beams). In 2016, it was reported that, based on the Fresnel diffraction catastrophes, dual Pearcey beams (DP beams) were successfully obtained by interfering a pair of half DP beams, [28] and the form-invariant Bessel beams were experimentally confirmed as particular forms of DP beams. As Pearcey beams have been intensively investigated recently, their paraxial and non-paraxial propagation properties are increasingly reported.…”

Section: Introductionmentioning

confidence: 99%

Paraxial Propagation Properties of Radially Polarized Odd‐Pearcey Gaussian Beams in Free Space

et al. 2021

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A new type of radially polarized odd-Pearcey Gaussian beam (RPOPGB) whose paraxial propagation in free space is studied analytically and numerically, is introduced. Intriguingly, the energy of RPOPGBs is found to auto-focus several times with the Gaussian beam waist radius increasing to some certain extents. Furthermore, RPOPGBs exhibit a special transversal intensity distribution that has an optical trap in the center. During the propagation, at first the RPOPGBs' two main lobes auto-focus toward the center with side lobes, and then the two main lobes separate after the end of auto-focusing. The Poynting vectors prove that the energy variation of the lobes maintains excellent central symmetry throughout the propagation. In addition, the fractional vortices are observed from the angular momentum and phase. These findings will be of potential use to particle capture.

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“…Due to the characteristic of self-acceleration [9], Airy beams propagates along a quadratic trajectory on the transverse plane, and the main lobe remains basically unchanged. The sudden autofocus ability of a circular Airy beams in a linear region has been theorized and experimentally demonstrated [10][11][12]. This characteristic can be used to improve the performance of optical tweezers.…”

Section: Introductionmentioning

confidence: 99%

Dispersion Characteristic of Spatiotemporal Sharply Autofocused Vector Airy-Circular Airy Gaussian Vortex Wave Packets

Liu¹,

Chen

Wei

et al. 2021

Front. Phys.

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The spatiotemporal vector Airy-Circular Airy Gaussian vortex wave packet is constructed by solving the (3 + 1)D Schrodinger equation in free space. The wave packet can simultaneously autofocus in space and time by setting the appropriate initial pulse velocity υ and the initial position of the main lobe T0. This kind of wave packet has low intensity before focusing, but the intensity at focus is about 80 times of the initial plane intensity. Our results may have potential applications in particle manipulation, laser processing, and other fields. Furthermore, the influence of the third-order dispersion coefficient on the evolution trajectory, the focus position, and the main peak intensity at the focus of the focusing pulse vector field is analyzed. The results show that the change of the initial velocity, the initial position, and the third-order dispersion coefficient can accurately control the evolution trajectory and the focus position, while the main peak intensity at the focus can only be controlled by adjusting the third-order dispersion coefficient. This means that the pulse vector light field can be manipulated precisely for precise processing by adjusting the third-order dispersion effect.

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Symmetric form-invariant dual Pearcey beams

Cited by 55 publications

References 20 publications

Stable and unstable Airy-related caustics and beams

Stable and unstable Airy-related caustics and beams

Paraxial Propagation Properties of Radially Polarized Odd‐Pearcey Gaussian Beams in Free Space

Dispersion Characteristic of Spatiotemporal Sharply Autofocused Vector Airy-Circular Airy Gaussian Vortex Wave Packets

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