Experimental observation of three-dimensional non-paraxial accelerating beams

Li, L.; Jiang, Yunfeng; Jiang, Peipei; Li, X.; Qiu, Youai; Jia, Pengbo; Pi, Zekun; Hu, Yi; Chen, Zhigang; Xu, Jingjun

doi:10.1364/oe.387866

Cited by 7 publications

(6 citation statements)

References 32 publications

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“…Additionally, the self-bending feature would create an artifact near the edge of the scan region, and this issue could be solved using a more advanced azimuthally self-accelerating beam [110,111]. The non-paraxial self-accelerating beam with a larger bending angle would allow better axial resolution in the MPM [18]. The incoherent accelerating beams beyond the paraxial regime would improve the SNR [157].…”

Section: Axial Resolution In Two-photon Microscopy With Self-accelerating Beamsmentioning

confidence: 99%

“…The study on self-accelerating Airy beam has excited a series of researches on the non-diffracting accelerating wave packets predicted by the Maxwell equation [17,18]. Some examples include the linear and nonlinear generation of non-paraxial accelerating beams [19], non-paraxial Webber beams [20], and full vectorial accelerating diffraction-free Helmholtz beams [21,22].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Non-Diffracting Light Wave: Fundamentals and Biomedical Applications

Ren

Tang

et al. 2021

Front. Phys.

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The light propagation in the medium normally experiences diffraction, dispersion, and scattering. Studying the light propagation is a century-old problem as the photons may attenuate and wander. We start from the fundamental concepts of the non-diffracting beams, and examples of the non-diffracting beams include but are not limited to the Bessel beam, Airy beam, and Mathieu beam. Then, we discuss the biomedical applications of the non-diffracting beams, focusing on linear and nonlinear imaging, e.g., light-sheet fluorescence microscopy and two-photon fluorescence microscopy. The non-diffracting photons may provide scattering resilient imaging and fast speed in the volumetric two-photon fluorescence microscopy. The non-diffracting Bessel beam and the Airy beam have been successfully used in volumetric imaging applications with faster speed since a single 2D scan provides information in the whole volume that adopted 3D scan in traditional scanning microscopy. This is a significant advancement in imaging applications with sparse sample structures, especially in neuron imaging. Moreover, the fine axial resolution is enabled by the self-accelerating Airy beams combined with deep learning algorithms. These additional features to the existing microscopy directly realize a great advantage over the field, especially for recording the ultrafast neuronal activities, including the calcium voltage signal recording. Nonetheless, with the illumination of dual Bessel beams at non-identical orders, the transverse resolution can also be improved by the concept of image subtraction, which would provide clearer images in neuronal imaging.

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Section: Axial Resolution In Two-photon Microscopy With Self-accelerating Beamsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Non-Diffracting Light Wave: Fundamentals and Biomedical Applications

Ren

Tang

et al. 2021

Front. Phys.

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“…j and, Σ is given by ϑ ä [0, π] and j ä [−π/2, π/2], where ( )  J is given in terms of spherical harmonic functions [33], parabolic, oblate, and prolate spheroidal functions [34,35], and the angular spectrum determined by the nondiffracting Mathieu and parabolic beams [36], respectively. It is important to comment that, in reference [33] the associated caustic of these three-dimensional accelerating beams was obtained, as the turning points of an effective potential, which appears when the separation of variables method is applied to the Helmholtz equation.…”

Section: Introductionmentioning

confidence: 99%

Superposition of nondiffracting beams characterized by a caustic of the hyperbolic umbilical type

et al. 2023

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The aim of the present work is to introduce two monochromatic solutionsto the scalar wave equation in free space, characterized by a caustic with a singularityof the hyperbolic umbilical type. The first solution, is a superposition of half-Mathieu beams, and the second one, is a superposition of parabolic beams. Sincethese solutions are determined by two particular complete integrals of the eikonalequation in free space, we compute their geometrical wavefronts, the caustic regions,and the corresponding Poynting vectors. Finally, we remark that, under certainconditions, these solutions describe three-dimensional accelerating beams in free space,propagating along semielliptical and parabolic paths, respectively

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“…[ 13–15 ] In addition to Airy beams, other accelerating beams following any arbitrary trajectories have been demonstrated. [ 16–19 ] Furthermore, by means of the caustic approach, researchers have experimentally generated nonparaxial accelerating beams with arbitrary trajectories in a more effective and flexible strategy. [ 20–22 ]…”

Section: Introductionmentioning

confidence: 99%

“…[13][14][15] In addition to Airy beams, other accelerating beams following any arbitrary trajectories have been demonstrated. [16][17][18][19] Furthermore, by means of the caustic approach, researchers have experimentally generated nonparaxial accelerating beams with arbitrary trajectories in a more effective and flexible strategy. [20][21][22] In lots of research where paraxial accelerating beams were explored, one can find that the acceleration of such beams is always DOI: 10.1002/andp.202000438 limited to a small scope.…”

Section: Introductionmentioning

confidence: 99%

Partially Coherent Dual Nonparaxial Accelerating Beams

Zeng

Zhao

2020

Annalen der Physik

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Partially coherent dual nonparaxial accelerating beams are constructed from the perspective of a superposition of fully coherent modes and incoherent interference effects among these modes. It is found that divergence angle and partial coherence of such beams can be altered by a curvature parameter. At the beginning of the propagation, such beams focus in the case of constructive interference, but they leave a central dip in the destructive case. Additionally, the extension of a crossed‐shaped intensity distribution caused by interference is slower than that of the transverse beam frame evidently. In particular, moving along the nonparaxial accelerating trajectory on the micrometer scale, the main lobes of these beams can diverge to a nearly flat angle. As such, these beams are likely to have applications in microscopic particle manipulation and coherence image processing.

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Experimental observation of three-dimensional non-paraxial accelerating beams

Cited by 7 publications

References 32 publications

Non-Diffracting Light Wave: Fundamentals and Biomedical Applications

Non-Diffracting Light Wave: Fundamentals and Biomedical Applications

Superposition of nondiffracting beams characterized by a caustic of the hyperbolic umbilical type

Partially Coherent Dual Nonparaxial Accelerating Beams

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