Focusing properties of circle Pearcey beams

Chen, Xingyu; Deng, Dongmei; Zhuang, Jingli; Peng, Xi; Li, Dongdong; Zhao, Fang; Yang, Xiangbo; Liu, Hongzhan; Wang, Guanghui

doi:10.1364/ol.43.003626

Cited by 137 publications

(53 citation statements)

References 25 publications

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“…It is noting that we use the Gaussian envelope

\exp (- α r^{2})

to ensure finite total intensity in our investigations rather than the exponential decay term in previous works. [ 21–25 ] This is because, normally, the amplitude distribution of lasers used in the experiments is Gaussian distribution.…”

Section: Theorymentioning

confidence: 99%

“…[ 20 ] In an extension vein, the prediction of the ring Pearcey beams (radially symmetric Pearcey beams) was first proposed in 2018. [ 21 ] Likewise, this new family of AAF beams enables higher peak intensity to autofocus convertibly, compared to ring Airy beams. Shortly after, an abundant amount of researches have been triggered, including chirp ring Pearcey beams, [ 22,23 ] astigmatic ring Pearcey beams, [ 24 ] and vector ring Pearcey beams.…”

Section: Introductionmentioning

confidence: 99%

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Generalized Ring Pearcey Beams with Tunable Autofocusing Properties

2021

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In this paper, generalized ring Pearcey beams are proposed theoretically and their corresponding generation is demonstrated experimentally by use of the double‐phase method. Generalized ring Pearcey beams evolve into circular or elliptical ring Pearcey beams, depending on the elliptical parameter. It is shown that the autofocusing properties of such beams can be effectively controlled by adjusting the elliptical parameter and the spatial distribution factor. To perform a more comprehensive investigation, the radially polarized forms of the beams are also realized in experiments. It is found that for both cases of vector and scalar, the peak intensity of the beams at the autofocusing plane undergo a dramatic increase as compared with that at the initial plane. Finally, by taking optical trapping as an example, it is proved that generalized ring Pearcey beams could be a productive instrument for industrial applications.

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“…It is noting that we use the Gaussian envelope

\exp (- α r^{2})

Section: Theorymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Generalized Ring Pearcey Beams with Tunable Autofocusing Properties

2021

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“…It can be seen that ALoGVB will degenerate to CBGVB under this condition. Under slow envelope and paraxial approximation, the evolution of the ALoGVB in the free space can be expressed by Fresnel integral [11] u(r,…”

Section: Theoretical Modelmentioning

confidence: 99%

“…[3] Then a large number of circular Airy selffocusing waves have been reported, [6][7][8] which can be used to synthesize light bullets [9] and manipulate particle. [10] Recently, some self-focusing beams with non-Airy ring structures have been proposed, such as the circle Pearcey beam (CPB), [11] the circular swallowtail beam (CSB), [12] and so on. The CPB has a higher focusing magnification and eliminates the shock after focusing, and the CSB has diversity and adjustability due to high-order diffraction mutations.…”

Section: Introductionmentioning

confidence: 99%

Free Space Realization of the Symmetrical Tunable Auto‐Focusing Lommel Gaussian Vortex Beam

Wang

et al. 2021

Annalen der Physik

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An auto-focusing beam with adjustable symmetry is proposed numerically and experimentally. The initial field of the auto-focusing Lommel Gaussian vortex beam (ALoGVB) consists of the Lommel function and the Gaussian term. When the asymmetry factor 𝜺 of the beam approaches zero, the ALoGVB will degenerate into a circular Bessel Gaussian vortex beam (CBGVB). Compared with the CBGVB, the ALoGVB is more diverse. The shape, symmetry, normalized focusing intensity, and focus distance of the ALoGVB can be controlled by flexibly adjusting the asymmetry factor 𝜺 and the topological charge n. In addition, the effect of off-axis vortices on the propagating characteristics of the beam is also discussed. The experiment is in good agreement with the numerical simulation. The results could be beneficial for potential applications in optical trapping or micromachining.

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“…As Pearcey beams have been intensively investigated recently, their paraxial and non-paraxial propagation properties are increasingly reported. Exactly, circular Pearcey beams (CPBs), [29] radially polarized circle Pearcey vortex beams (RPCPVs), [30] odd-Pearcey Gaussian beams (OPGBs) [31] have been proposed and studied successively. Despite the importance of Pearcey beams, there remains a paucity of survey on the paraxial propagation of radially polarized odd-Pearcey Gaussian beams (RPOPGBs).…”

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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Focusing properties of circle Pearcey beams

Cited by 137 publications

References 25 publications

Generalized Ring Pearcey Beams with Tunable Autofocusing Properties

Generalized Ring Pearcey Beams with Tunable Autofocusing Properties

Free Space Realization of the Symmetrical Tunable Auto‐Focusing Lommel Gaussian Vortex Beam

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

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