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

Abstract

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.

Topological magnons in the honeycomb-kagome lattice

“…For electrons with NN hopping in the HK lattice, the bands host spin-1/2 and spin-1 Dirac-Weyl fermions simultaneously [29], revealing the connection between the HK, the kagome and the honeycomb lattices. Similar band structure was found in the photonic HK lattices [30], with novel optical phenomena [31,32]. It was also demonstrated that a square-root higher-order topological insulator was realized in a two-dimensional LC circuits arranged in the HK lattice manner [33].…”

Generation and Talbot Effect of Optical Vortex Lattices with High Orbital Angular Momenta

“…By using Equation (6), the transverse period of the high‐order Kagome lattice is obtained as 2π and $$2\pi /\sqrt 3 $$ along the x and y axes, respectively. By calculating the least common multiple of the OVL period along the two directions, [ 47 ] the total Talbot length of the high‐order Kagome lattice is obtained as $${Z}_T = 4\pi $$. Figure 7(a2) shows the corresponding Talbot carpet of the periodic beam structures.…”

“…By using Equation ( 6), the transverse period of the high-order Kagome lattice is obtained as 2𝜋 and 2𝜋∕ √ 3 along the x and y axes, respectively. By calculating the least common multiple of the OVL period along the two directions, [47] the total Talbot length of the high-order Kagome lattice is obtained as Z T = 4𝜋. transverse period of the high-order hexagonal lattice is the same as that of the high-order Kagome lattice, they exhibited the same Talbot length.…”

“…Zhang et al investigated the formation of the Talbot effect in specific periodic OVL structures. [47] They found that when specific periodic beam structures are at a certain fractional Talbot distance, the OVL transforms into a super-honeycomb lattice. The Talbot effect is a near-field diffraction and interference phenomenon.…”

Tunable Plasmonic Talbot Effect Based on Graphene Monolayer

“…In the ranges of the chemical potential and wavelength, the FWHM is less than 1 μm, which implies the sub-wavelength imaging in the proposed structure. However, when the length of propagation of SPPs becomes smaller than the self-imaging distance, or the loss of plasmons is high enough, the phenomena are hard to obtain [34]. It should be noted that variation of the duty cycle of graphene grating has no effect on the FWHM.…”