Fractional nonparaxial accelerating Talbot effect

Zhang, Yiqi; Zhong, Hua; Belić, Milivoj R.; Zhang, Zhaoyang; Wen, Feng; Xiao, Min

doi:10.1364/ol.41.003273

Cited by 23 publications

(10 citation statements)

References 38 publications

(53 reference statements)

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“…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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“…As a result, the divided wavefront will be individually bent in each ENZ element with a different angle, thus constructively interfering in the focal region along the caustic curve. However, such caustic curve is now a regular polygon approaching an incomplete circle, which leads to a fractional Talbot effect [28]. Note that in the numerical simulations shown in Fig.…”

Section: Implementation Of Ultrathin Enz Metacoatingsmentioning

confidence: 92%

Plano-concave microlenses with epsilon-near-zero surface-relief coatings for efficient shaping of nonparaxial optical beams

Naserpour

Zapata–Rodríguez

Hashemi

2018

Optics & Laser Technology

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Epsilon-near-zero (ENZ) materials, including artificial metamaterials, have been advanced to mold laser beams and antennamediated radiated waves. Here we propose an efficient method to control Ohmic losses inherent to natural ENZ materials by the assembly of subwavelength structures in a nonperiodic matrix constituting an ENZ metacoating. Implemented over plano-concave transparent substrates whose radius can be of only a few wavelengths, ENZ surface-relief elements demonstrate to adequately shape a plane wave into highly localized fields. Furthermore, our proposal provides an energy efficiency even higher than an ideally-lossless all-ENZ plano-concave lens. Our procedure is satisfactory to generate aberration-free nonparaxial focused waves and accelerating beams in miniaturized spaces.

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“…Without such an approximation, one investigates nonparaxial optical problems using the Helmholtz equation that follows directly from the Maxwell's equations [15]. It has been demonstrated that the solutions of two-dimensional (2D) Helmholtz equation are plane waves in Cartesian coordinates, Bessel beams in circular cylindrical coordinates [16][17][18][19], Mathieu beams in elliptic cylindrical coordinates [20,21], and Weber beams in parabolic cylindrical coordinates [20,[22][23][24][25]. In addition to the 2D case, one can also solve the 3D Helmholtz equation for the 3D accelerating beams utilizing the Whittaker integral [16,26,27].…”

Section: Introductionmentioning

confidence: 99%

Coherent and Incoherent Nonparaxial Self-Accelerating Weber Beams

et al. 2016

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We investigate the coherent and incoherent nonparaxial Weber beams, theoretically and numerically. We show that the superposition of coherent self-accelerating Weber beams with transverse displacement cannot display the nonparaxial accelerating Talbot effect. The reason is that their lobes do not accelerate in unison, which is a requirement for the appearance of the effect. While for the incoherent Weber beams, they naturally cannot display the accelerating Talbot effect but can display the nonparaxial accelerating properties, although the transverse coherence length is smaller than the beam width, based on the second-order coherence theory. Our research method directly applies to the nonparaxial Mathieu beams as well, and one will obtain similar conclusions as for the Weber beams, although this is not discussed in the paper. Our investigation identifies families of nonparaxial accelerating beams that do not exhibit the accelerating Talbot effect, and in addition broadens the understanding of coherence properties of such nonparaxial accelerating beams.

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Fractional nonparaxial accelerating Talbot effect

Cited by 23 publications

References 38 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

Plano-concave microlenses with epsilon-near-zero surface-relief coatings for efficient shaping of nonparaxial optical beams

Coherent and Incoherent Nonparaxial Self-Accelerating Weber Beams

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