Spatial and temporal description of electron diffraction through a double slit at the nanometer scale

Castellanos-Jaramillo, Alejandro; Castellanos-Moreno, Arnulfo

doi:10.1088/1361-6404/aadcd7

Cited by 5 publications

(4 citation statements)

References 27 publications

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“…In the literature, diffraction experiments on the forming Young’s double-slit fringes pattern by individual particles 23 – 25 and single wave-driven particles 26 have also been reported. For example, double-slit experiments with electron 27 , 28 , neutrons, atoms, molecules 29 – 33 , small clusters 34 , and even large molecules like C 60 35 , have till now been considered. In addition to particles, the double-slit experiment with wavepackets is also possible.…”

Section: Introductionmentioning

confidence: 99%

Fractional Young double-slit numerical experiment with Gaussian wavepackets

Ghalandari

Solaimani

2020

Sci Rep

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In the present work, we consider the transmission properties of a Gaussian wavepacket when transmits through few double and multi-slit systems in a fractional medium. For this purpose, we have solved the two-dimensional fractional Schrodinger equation utilizing a split-step Fourier method. Then, we have investigated the effects of different parameters such as the number of slits, slit width, barrier width, layer width, layer heights, fractional order, and wavepacket width on the transmission coefficient, and wavepacket evolution.

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Section: Introductionmentioning

confidence: 99%

Fractional Young double-slit numerical experiment with Gaussian wavepackets

Ghalandari

Solaimani

2020

Sci Rep

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“…The cross-section of the grating bars is assumed to be rectangular, as shown in figure 1. The value of V g0 is taken as ∼30E k0 , which is well above the incident particle energy, to minimize the effect of quantum tunneling through the grating bars [49,66]. The ∏ (u) function is the unit impulse function, which is given by,…”

Section: Methodsmentioning

confidence: 99%

“…Physical systems having potentials of any arbitrary configuration can be simulated using the GFDTD-Q method [73][74][75][76][77][78][79][80][81][82]. Moreover, this method has already been applied in previous studies to simulate matter wave diffraction phenomena [63,66]. A detailed formulation of the GFDTD-Q method and the numerical procedures can be found in [63].…”

Section: Methodsmentioning

confidence: 99%

Near-field diffraction of protons by a nanostructured metallic grating under external electric field: asymmetry and sidebands in Talbot self-imaging

Barman,

Bhattacharjee

2023

New J. Phys.

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Self-imaging in near-field diffraction is a practical application of coherent manipulation of matter waves in Talbot interferometry. In this work, near-field diffraction of protons by a nanostructured metallic grating under the influence of (a) uniform, (b) spatially modulated, and (c) temporally modulated electric fields are investigated. Time-domain simulations of two-dimensional Gaussian wave packets for protons are performed by solving the time-dependent Schrödinger's equation using the generalized finite difference time domain (GFDTD-Q) method for quantum systems. Effects of strength (E0 ) and orientation (θ) of the uniform electric field on the diffraction properties, such as fringe pattern, intensity of the peaks, fringe shift, and visibility, are investigated. The results show that the Talbot fringes shift significantly in the transverse direction even for a small change in the applied electric field (ΔE0=0.1 V/m) and its orientation (Δθ=0.1o). Moreover, electric field-dependent fringe visibility is observed, which can be tuned by E0 and θ. The potential barriers arising from a spatially modulated electric field are observed to cause significant distortions in the Talbot patterns when the modulation length (λ') is equal to the de Broglie wavelength (λdB ). Sidebands are observed in the Talbot pattern due to the efficient transfer of energy from the oscillating field to the wave packet when the frequency of oscillation (ω) is of the order of ω0 (=2π/T0 ), where T0 is the interaction time. This study will be helpful in uniform electric field-controlled precision metrology, developing a highly sensitive electric field sensor based on Talbot interference, and precisely aligning the matter wave optical setup. Furthermore, the sidebands in the Talbot fringe can be used as a precise tool as momentum splitter in matter wave interferometry.

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“…Then, FDTD was also used for 3-D ADI-R-FDTD modelling in divergence [10]. Another application of FDTD is for the analysis of electric field induction and electron diffraction [11,12]. Meanwhile, industrial FDTD materials are also used to estimate electromagnetic waves in dust plasma [13] and in the telecommunications industry for acoustic and antenna analysis [14,15].…”

Section: Introductionmentioning

confidence: 99%

Two Dimensional Simulation of Electromagnetic Waves on Metal Materials Using the FDTD Method

Firdaus

Khoiro

Dzulkiflih

et al. 2022

J. Phys.: Conf. Ser.

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It is challenging to picture the physical phenomenon known as electromagnetic wave simulation. The purpose of this work is to model the propagation of electromagnetic waves on a two-dimensional medium. FDTD is a method that is quite relevant to be used in visualizing electromagnetic waves. One can utilise Maxwell's equations to describe discrete electromagnetic waves having TM mode. The simulation is in the form of a Gaussian pulse with the magnetic field H and the electric field E having position and time domains, respectively. The proposed simulation conditions have considered the program's boundary conditions and numerical stability. The differential equation method methodology is used in the FDTD method. The simulation results show that the wave without PML is impeccably reflected, and with PML, the wave is reflected by the material utilized. Materials with high conductivity will make the waves decay and reduce their intensity. This research can be used in the investigation of materials and communication media innovation.

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Spatial and temporal description of electron diffraction through a double slit at the nanometer scale

Cited by 5 publications

References 27 publications

Fractional Young double-slit numerical experiment with Gaussian wavepackets

Fractional Young double-slit numerical experiment with Gaussian wavepackets

Near-field diffraction of protons by a nanostructured metallic grating under external electric field: asymmetry and sidebands in Talbot self-imaging

Two Dimensional Simulation of Electromagnetic Waves on Metal Materials Using the FDTD Method

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