Nonparaxial propagation of abruptly autofocusing circular Pearcey Gaussian beams

Chen, Xingyu; Deng, Dongmei; Zhuang, Jingli; Yang, Xiangbo; Liu, Hongzhan; Wang, Guanghui

doi:10.1364/ao.57.008418

Cited by 29 publications

(7 citation statements)

References 43 publications

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“…[20] In these different classes of applications, a special family of accelerating beams, namely, abruptly autofocusing (AAF) beams, plays an important role because of their autofocusing property. [21][22][23][24][25][26][27] The peak intensity for each of these beams almost is maintained at a constant level during early propagation, yet at a particular distance it abruptly increases by several orders of magnitude. [23][24][25][26][27] In general, the AAF beams are produced from radially symmetric Airy beams.…”

Section: Introductionmentioning

confidence: 99%

“…[21][22][23][24][25][26][27] The peak intensity for each of these beams almost is maintained at a constant level during early propagation, yet at a particular distance it abruptly increases by several orders of magnitude. [23][24][25][26][27] In general, the AAF beams are produced from radially symmetric Airy beams. In order to better control the autofocusing properties, many other methods were developed.…”

Section: Introductionmentioning

confidence: 99%

“…In order to better control the autofocusing properties, many other methods were developed. [22][23][24][25][26][27] One can synthesize the AAF via a superposition of multiple one-dimensional (1D) or two-dimensional (2D) Airy beams distributed around a circle. Their autofocusing propagation is thus readily changed by engineering the lateral accelerations of the combining Airy beams.…”

Section: Introductionmentioning

confidence: 99%

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Three-Airy autofocusing beams*

Zhang¹,

Wang²,

Bai³

et al. 2020

Chinese Phys. B

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We numerically and experimentally demonstrate that a three-Airy autofocusing beam can be generated by superposing three deformed two-dimensional (2D) Airy beams with a triangle symmetry. When the initial angle between two wings of the deformed 2D Airy beams increases, such a three-Airy autofocusing beam exhibits that the focusing length decreases and the intensity contrast at the focal point changes. Moreover, after introducing an optical vortex phase, this three-Airy autofocusing beam displays a transverse rotation in propagation. The rotation angle is determined by the topological charge of the vortex and the initial wing angle. Our results may have some potential applications in optical manipulation.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Three-Airy autofocusing beams*

Zhang¹,

Wang²,

Bai³

et al. 2020

Chinese Phys. B

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“…proposed the abruptly auto‐focusing circle Pearcey beams (CPBs), which extended the family of the abruptly auto‐focusing waves. [ 17–20 ] The energy of the abruptly auto‐focusing wave [ 21,22 ] focuses suddenly at the focal point but maintains little intensity elsewhere throughout the propagation. Hence, the abruptly auto‐focusing wave can be used prominently in biomedical and laser therapy.…”

Section: Introductionmentioning

confidence: 99%

Paraxial Propagation Properties of Symmetric Dual Pearcey Gaussian Beams in Free Space

et al. 2022

Self Cite

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In this article, a new kind of symmetric dual Pearcey Gaussian beam (SDPGB) is introduced and their properties of auto‐focusing, self‐similarity, inversion, and self‐healing are discussed. The self‐similarity, the auto‐focusing, and the inversion properties of the propagating SDPGBs are turned out by analytical derivation and experimental observation. Additonally, a second‐order chirp factor for SDPGBs is introduced to investigate their secondary auto‐focusing and abrupt auto‐focusing properties in further detail. Finally, the effects of the obstacle diameter and the obstacle placement plane on the self‐healing of the SDPGBs are discussed.

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“…Beams with autofocusing properties are useful for optical manipulation [7,8], multiphoton polymerization [9], nonlinear effects [10], polarization conversion [11], and sharp focusing [12]. Since there is such a demand in various applications, researchers have focused on the study of other beams with autofocusing properties, for example, Pearcey beams [13,14], aberration beams [15], as well as symmetric [16][17][18] and generalized [19,20] Airy beams.…”

Section: Introductionmentioning

confidence: 99%

Mirror and Circular Symmetry of Autofocusing Beams

Хонина

2021

Symmetry

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This article demonstrates the crucial importance of the symmetrization method for the formation of autofocusing beams. It is possible to impart autofocusing properties to rather arbitrary distributions, for example, truncated and inverted classical modes (such as Hermite–Gaussian, Laguerre–Gaussian, and Bessel modes) or shift the fundamental Gaussian beam by inserting mirror or circular symmetry. The most convenient for controlling autofocusing characteristics is the truncated sinus function with a power-law argument dependence. In this case, superlinear chirp beams (with power q > 2) exhibit sudden and more abrupt autofocusing than sublinear chirp beams (with power 1 < q < 2). Comparison of the different beams’ propagation is performed using fractional Fourier transform, which allows obtaining the field distribution in any paraxial region (both in the Fresnel and Fraunhofer diffraction regions). The obtained results expand the capabilities of structured beams in various applications in optics and photonics.

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Nonparaxial propagation of abruptly autofocusing circular Pearcey Gaussian beams

Cited by 29 publications

References 43 publications

Three-Airy autofocusing beams*

Three-Airy autofocusing beams*

Paraxial Propagation Properties of Symmetric Dual Pearcey Gaussian Beams in Free Space

Mirror and Circular Symmetry of Autofocusing Beams

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