Effect of Kerr nonlinearity on an Airy beam

Chen, Rui-Pin; Yin, Chaofu; Chu, Xiuxiang; Wang, Hui

doi:10.1103/physreva.82.043832

Cited by 107 publications

(87 citation statements)

References 22 publications

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“…The collapse dynamics of elliptical beams have been extensively studied [22,24]. These studies pointed out significant differences between quantitative predictions of the aberrationless approximation and actual results obtained from NLS equation simulations [24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41]. From our numerical calculations, we find a simple empirical expression for the critical power of asymmetrical Lorentz beam by fitting the results of the numerical calculation…”

Section: Numerical Results and Discussionmentioning

confidence: 96%

“…For the sake of intuition, the initial powers have been specified not only in terms of P cr , but also in terms of P 0 = πn 0 /(n 2 k 2 ). The simulations show that as the initial power reaches a certain threshold, the intensity at the center part of the beam will dominate [35][36][37][38][39][40][41][42] and the peak intensity increases with distance z. This threshold is lower for asymmetric beam (see Fig.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

“…In order to investigate further the effect of Kerr nonlinearity [23][24][25][26][27][28][29][30][31][32][33][34][35][36] on the Lorentz beam, we need to solve the NLS equation numerically. Numerical simulations were done using the parameters of wavelength λ = 0.53 µm, n 0 = 1, n 2 = 0.5 × 10 −4 cm 2 /GW, w 0x = 10 µm and z 0 = kw 2 0x /2 = 0.6 mm, respectively.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

“…(12) is the upper bound for Lorentz beam. The critical power overestimates the actual threshold power for collapse [35][36][37][38][39][40][41][42].…”

Section: Propagation Of a Lorentz Beam In A Kerr Mediummentioning

confidence: 99%

“…We obtain the critical power [32][33][34][35][36][37][38][39][40][41][42] of the Lorentz beam with uniform wavefront, which is required to collapse the beams, as a function of different beam parameters, particularly the waists w 0x and w 0y . Numerical simulations illustrate in more details the nonlinear dynamics of the beams in the Kerr medium.…”

Section: Introductionmentioning

confidence: 99%

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Evolution and Collapse of a Lorentz Beam in Kerr Medium

Chen¹,

Ooi²

2011

PIER

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Section: Numerical Results and Discussionmentioning

confidence: 96%

Section: Numerical Results and Discussionmentioning

confidence: 99%

Section: Numerical Results and Discussionmentioning

confidence: 99%

“…(12) is the upper bound for Lorentz beam. The critical power overestimates the actual threshold power for collapse [35][36][37][38][39][40][41][42].…”

Section: Propagation Of a Lorentz Beam In A Kerr Mediummentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Evolution and Collapse of a Lorentz Beam in Kerr Medium

Chen¹,

Ooi²

2011

PIER

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Airy Shaped Waves

Nóbrega

Dartora

Zamboni‐Rached

2013

Non‐Diffracting Waves

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Programmable Jigsaw Puzzles of Soft Materials Enabled by Pixelated Holographic Surface Reliefs

et al. 2023

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block to establish numerous ingenious applications, such as supramolecular engineering, [1] nanotechnology, [2] soft robotics, and mechanical metamaterials. [3,4] When scaling down the size of each piece of the jigsaw puzzle and extending the concealed information to contain both light polarization and phase, the concept of optical jigsaw puzzles aiming for programmable optics can be obtained. It is known that the functions of traditional optical elements are endowed by a complex phase wavefront, e.g., an imaging lens has a parabolashaped phase distribution, and a grating has a periodic phase distribution, [5,6] and are expressed using the curved interface between different optical materials in geometrical optics. Metasurfaces, [7,8] composed of pixelated nanoantennas with different parameters of orientation, size, aspect ratio, spacing, etc., to obtain delicate control over the optical phase, polarization, or amplitude, have attracted tremendous scientific and industrial interest. However, these materials face the challenges of limited size, complicated microfabrication, and the dynamic manipulation of optical performance, which are the main obstacles to promoting the commercialization of smart, adaptive, and programmable photonics.Manual intervention in the self-organization of soft matter to obtain a desired superstructure is a complex but significant project. Specifically, optical components made fully or partially from reconfigurable and stimuli-responsive soft materials, referred to as soft photonics, are poised to form versatile platforms in various areas; however, a limited scale, narrow spectral adaptability, and poor stability are still formidable challenges. Herein, a facile way is developed to program the optical jigsaw puzzle of nematic liquid crystals via pixelated holographic surface reliefs, leading to an era of manufacturing for programmable soft materials with tailored functions. Multiscale jigsaw puzzles are established and endowed with unprecedented stability and durability, further sketching a prospective framework toward customized adaptive photonic architectures. This work demonstrates a reliable and efficient approach for directly assembling soft matter, unlocking the long-sought full potential of stimuli-responsive soft systems, and providing opportunities to inspire the next generation of soft photonics and relevant areas.

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Effect of Kerr nonlinearity on an Airy beam

Cited by 107 publications

References 22 publications

Evolution and Collapse of a Lorentz Beam in Kerr Medium

Evolution and Collapse of a Lorentz Beam in Kerr Medium

Airy Shaped Waves

Programmable Jigsaw Puzzles of Soft Materials Enabled by Pixelated Holographic Surface Reliefs

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