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Fractional Young double-slit numerical experiment with Gaussian wavepackets

M. Ghalandari,M. Solaimani

2020 · DOI: 10.1038/s41598-020-76512-5
Scientific Reports · 6 Citations

TLDR

The two-dimensional fractional Schrodinger equation is solved utilizing a split-step Fourier method and the effects of different parameters such as the number of slits, slit width, barrier width, layerwidth, layer heights, fractional order, andWavepacket width on the transmission coefficient, and wavepacket evolution are investigated.

Abstract

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.