The Talbot effect in a metamaterial

Nikkhah, Hamdam; Hasan, Mehedi; Hall, Trevor J.

doi:10.1007/s00339-017-1521-1

Cited by 9 publications

(5 citation statements)

References 21 publications

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“…Due to the cheap equipment needed and ease of the use of the Talbot effect, it has gained many applications in optics and interdisciplinary areas, such as in optical testing and metrology 3 , Talbot array illumination 4 , atmospheric turbulence studies 5 , singular optics including characterization 6 and multiplication 7 of vortex beams. Although the Talbot effect was initially observed in optics, in recent decades, it attracted the interest of many researchers in other areas of physics, and similar processes have also been reported with other physical waves, such as non-classical light 8 and atomic waves 9 – 11 , X-ray phase imaging 12 , Bose-Einstein condensates 13 , metamaterials 14 , exciton polaritons 15 , surface plasmonic 16 , coupled lasers 17 and waveguide arrays 18 systems. The Talbot effect was also reported for mechanical waves such as water waves 19 and acoustic waves 20 .…”

Section: Introductionmentioning

confidence: 83%

Tunneling-induced Talbot effect

Azizi

Sabegh

Mahmoudi

et al. 2021

Sci Rep

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We investigate the reforming of a plane wave into a periodic waveform in its propagation through a structural asymmetry four-level quantum dot molecule (QDM) system that is induced by an inter-dot tunneling process and present the resulting tunneling-induced Talbot effect. The tunneling process between two neighborhood dots is provided with the aid of a gate voltage. Using a periodic coupling field the response of the medium to the propagating plane probe beam becomes periodic. The needed periodic coupling field is generated with the interference of two coherent plane waves having a small angle and propagating almost parallel to the probe beam direction. In the presence of the tunneling effect of an electron between two adjacent QDs, for the probe beam propagating through the QDM system, the medium becomes transparent where the coupling fields interfere constructively. As a result, the spatial periodicity of the coupling field modulates the passing plane probe beam. We determine the minimum length of the QDM system to generate a periodic intensity profile with a visibility value equal to 1 for the probe field at the exit plane of the medium. It is also shown that by increasing the propagation length of the probe beam through the QDM medium, the profile of the maximum intensity areas becomes sharper. This feature is quantified by considering a sharpness factor for the intensity profile of the probe beam at the transverse plane. Finally, we investigate free space propagation of the induced periodic field and present the Talbot images of the tunneling-induced periodic patterns at different propagation distances for different values of the QDM medium lengths. The presented dynamically designing method of the periodic coherent intensity patterns might find applications in science and technology. For instance, in optical lithography, the need to use micro/nanofabricated physical transmission diffraction gratings, in which preparation of them is expensive and time-consuming, can be eliminated.

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Section: Introductionmentioning

confidence: 83%

Tunneling-induced Talbot effect

Azizi

Sabegh

Mahmoudi

et al. 2021

Sci Rep

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“…Electron oscillations at the metal–dielectric interface are accompanied by variations in the dielectric constant. When the light beam propagates on the metal surface, surface plasmon polaritons can realize the Talbot effect 12 . The studies show the surface plasmons can realize the Talbot effect.…”

Section: Plasmonic Talbot Effect In Metal Nanostructuresmentioning

confidence: 99%

Observation of Plasmonics Talbot effect in graphene nanostructures

Farmani,

Omidniaee

2024

Sci Rep

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We report on the theoretical models of the plasmoincs Talbot effect in graphene nanostructure. The Talbot effect for the plasmonics applications in the IR range is theoretically studied and the respective Talbot effect for the novel advanced plasmonics structures are numerically investigated for the first time. It is shown that the metamaterial structures with periodic grating configuration represents a complex three-dimensional lattice of beamlet-like graphene plasmonics devices. The calculated results agree well with the experimental ones. The results obtained can be used to create and optimize the structures considering diffraction limit for a wide range of application areas. Effective focusing of plasmonic waves with exact focal spots and a subwavelength full width at half maximum can be obtained by using periodic graphene grating.

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“…Talbot effect has many remarkable interesting applications in different fields, for example, lithography [5], imaging and computing [4], Talbot array illumination [6], and optical microscopy [7]. Recently, it has also been reported for solid state materials ( [8][9][10]), Bose-Einstein condensates [11], and metamaterials [15]. Nowadays, it has also been visualized in the temporal Talbot effect [16], angular Talbot effect [17], conformal Talbot effect ( [12][13][14]), and non-linear Talbot effect [18].…”

Section: Introductionmentioning

confidence: 99%

Effect of phase fluctuations on atomic Talbot images in three-level ladder-type atomic system

Ahmad,

Irfan,

Qamar

et al. 2023

Phys. Scr.

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In this article, we study the atomic Talbot effect in a three-level ladder-type atomic system, which consists of a strong microwave field having a finite bandwidth and a weak probe field. The upper levels are coupled with a strong position-dependent microwave field, while a weak probe field interacts with lower levels of the atomic system. We find that phase fluctuations associated with a strong microwave field significantly affect the transmission and corresponding intensity of Talbot images. We show that the choice of various parameters is crucial in the presence of phase fluctuation. An appropriate choice along with a pump field can still improve the intensity of atomic Talbot images. We believe that our results are useful for any practical situation where the effects of phase fluctuations are important.

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The Talbot effect in a metamaterial

Cited by 9 publications

References 21 publications

Tunneling-induced Talbot effect

Tunneling-induced Talbot effect

Observation of Plasmonics Talbot effect in graphene nanostructures

Effect of phase fluctuations on atomic Talbot images in three-level ladder-type atomic system

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