Talbot effect in weakly coupled monolayer graphene sheet arrays

Abstract

We theoretically investigate the plasmonic Talbot effect in monolayer graphene sheet arrays (MGSAs) when surface plasmon polaritons (SPPs) between graphene experience weak coupling. The Talbot effect occurs only when the incident field has a pattern with a few selected periods. The Talbot distance is found to decrease exponentially with the decreasing period of the MGSA and can be as small as 1/20 of the incident wavelength. In addition, the Talbot distance can be further reduced by increasing the chemical potential of graphene or operating at longer wavelengths.

Talbot effect of the defective grating in deep Fresnel region

“…Recently, this effect gets into the other fields such as atomic optics and Bose-Einstein condensation, nonlinear optics and metamaterials. [19][20][21] These research works are meaningful for understanding deeply the diffraction characteristics of grating and play important role in promoting the applications of this effect.…”

Self-imaging in multi-walled carbon nanotube arrays at visible wavelengths

“…There have been many reported studies for multi-mode interference effect such as photonic crystal (PC) waveguides [11][12] and plasmonic waveguides [13]. Recently, the self-imaging in monolayer graphene sheet arrays was theoretically investigated by F. Yang et al in 2014 [14]. To the best of our knowledge no measurements or calculations have yet been performed to prove the existence of self-imaging in periodic carbon nanotube (CNT) arrays.…”

“…(b). In order to have a strong confinement of light in MWCNT arrays, an operating frequency of14 6.6 10 z H × is selected to analyze various radii mentioned above.To obtain the imaging position and interval value, what remains to be done is the explicit difference between two propagation constants of excited modes. taken out from the dispersion curves inFig.…”

Plasmonic Zitterbewegung in binary graphene sheet arrays

“…These features make graphene a competitive alternative to metals in manipulating SPPs [8,9]. Various interesting optical phenomena are observed in graphene structures, such as hyperlense [10], negative refraction [11], and discrete Talbot effect [12].In this Letter, we shall study the plasmonic ZB phenomenon in binary graphene sheet arrays (GSAs). It should be mentioned that the ZB of SPPs is substantially different from that of electrons in graphene.…”

“…The C g value of SPPs between adjacent guides of the GSAs is C g C g1 C g2 ∕2, where the values of C g1 and C g2 are the coupling coefficients in the homogeneous GSAs with the chemical potential μ c1 and μ c2 , which can be derived as C g β e − β o ∕4, with β e and β o being the propagation constants of the even and odd collective modes of the GSAs system, respectively [12]. Note that the even collective mode has a smaller propagation constant than the odd mode.…”