Controllable Multiwave Mixing Talbot Effect

Zhang, Yiqi; Yao, Xin; Yuan, Chenxi; Li, Peiying; Yuan, Jinpeng; Feng, Weikang; Jia, Shuqiao

doi:10.1109/jphot.2012.2225609

Cited by 25 publications

(16 citation statements)

References 29 publications

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“…Nonetheless, the Talbot effect still attracts considerable attention of many research groups around the globe [3], for its potential applications in image preprocessing and synthesis, photolithography, optical testing, optical metrology, spectrometry, and optical computing. Today, research efforts that involve the Talbot effect include atomic optics [4][5][6], quantum optics [7,8], nonlinear optics [9][10][11], waveguide arrays [12], photonic lattices [13], Bose-Einstein condensates [14,15], and electronics [16], to name a few. It is worth mentioning that the Talbot effect can also be observed by using spherical waves [17] and accelerating beams [18][19][20].…”

Section: Introductionmentioning

confidence: 99%

Generating Lieb and super-honeycomb lattices by employing the fractional Talbot effect

2019

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We demonstrate a novel method for producing optically-induced Lieb and super-honeycomb lattices, by employing the fractional Talbot effect of specific periodic beam structures. Our numerical and analytical results display the generation of Lieb and super-honeycomb lattices at fractional Talbot lengths effectively and with high beam quality. By adjusting the initial phase shifts of the interfering beams, the incident periodic beam structures, as well as the lattices with broken inversion symmetry, can be constructed in situ. This research suggests not only a possible practical utilization of the Talbot effect in the production of novel optically-induced lattices but also in the studies of related optical topological phenomena.

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Section: Introductionmentioning

confidence: 99%

Generating Lieb and super-honeycomb lattices by employing the fractional Talbot effect

2019

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“…A new member of the Talbot effect [31] family, the Airy-Talbot effect, was recently introduced [30,32]. Different from the traditional Talbot effect [33][34][35][36], the accelerating Talbot effect is not based on a periodic incident beam, but on the interference of a superposition of coherent Airy beams with transverse displacements. The appearance of accelerating Airy-Talbot effect refreshed the understanding of the recurrence of images.…”

Section: Introductionmentioning

confidence: 99%

Fractional nonparaxial accelerating Talbot effect

et al. 2016

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We demonstrate the fractional Talbot effect of nonparaxial accelerating beams, theoretically and numerically. It is based on the interference of nonparaxial accelerating solutions of the Helmholtz equation in two dimensions. The effect originates from the interfering lobes of a superposition of the solutions that accelerate along concentric semicircular trajectories with different radii. Talbot images form along certain central angles, which are referred to as Talbot angles. The fractional nonparaxial Talbot effect is obtained by choosing the coefficients of beam components properly. A single nonparaxial accelerating beam possesses duality-it can be viewed as a Talbot effect of itself with an infinite or zero Talbot angle. These results improve the understanding of the nonparaxial accelerating beams and of the Talbot effect among them.

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“…In the last decade, periodically dressed atomic vapors -such as rubidium vapor -were intensively investigated, leading to the observation of many interesting effects, including enhanced multi-wave mixing (MWM) signals due to Bragg reflection of photonic band gap (PBG) structures [24]. Also, the Talbot effect of MWM [25] and the nonreciprocity of light [26] have been explored, to name a few interesting effects.…”

Section: Introductionmentioning

confidence: 99%

Modulation of the photonic band structure topology of a honeycomb lattice in an atomic vapor

et al. 2015

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In an atomic vapor, a honeycomb lattice can be constructed by utilizing the three-beam interference method. In the method, the interference of the three beams splits the dressed energy level periodically, forming a periodic refractive index modulation with the honeycomb profile. The energy band topology of the honeycomb lattice can be modulated by frequency detunings, thereby affecting the appearance (and disappearance) of Dirac points and cones in the momentum space. This effect can be usefully exploited for the generation and manipulation of topological insulators.

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Controllable Multiwave Mixing Talbot Effect

Cited by 25 publications

References 29 publications

Generating Lieb and super-honeycomb lattices by employing the fractional Talbot effect

Generating Lieb and super-honeycomb lattices by employing the fractional Talbot effect

Fractional nonparaxial accelerating Talbot effect

Modulation of the photonic band structure topology of a honeycomb lattice in an atomic vapor

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