Smoothed finite element method for time dependent analysis of quantum resonance devices

Smoothed finite element method for time dependent analysis of quantum resonance devices In this paper, a new finite element method (FEM) is introduced to study the time-dependent wave nature of the electron in quantum resonance devices. Unlike the well-known FEM, the new method smooths the wave function derivatives over the edges. In this sense, the new method is termed “smoothed FEM” where an “inter-element” matrix is formed to smooth the derivatives over the edges. For the electron’s wave function propagation in time, the presented method exploits the time domain beam propagation method (TD-BPM). Based only on first order elements, our suggested SFETD-BPM has high accuracy levels comparable to second-order conventional FEM elements; thanks to the element smoothing. The proposed method numerical performance is tested through the analysis of a quantum resonance cavity and a quantum resonant tunneling device. It is clearly demonstrated that the presented method is not only accurate but also more time efficient than the conventional FEM approach. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Optical and Quantum Electronics Springer Journals

Smoothed finite element method for time dependent analysis of quantum resonance devices

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Publisher
Springer US
Copyright
Copyright © 2018 by Springer Science+Business Media, LLC, part of Springer Nature
Subject
Physics; Optics, Lasers, Photonics, Optical Devices; Electrical Engineering; Characterization and Evaluation of Materials; Computer Communication Networks
ISSN
0306-8919
eISSN
1572-817X
D.O.I.
10.1007/s11082-018-1392-5
Publisher site
See Article on Publisher Site

Abstract

In this paper, a new finite element method (FEM) is introduced to study the time-dependent wave nature of the electron in quantum resonance devices. Unlike the well-known FEM, the new method smooths the wave function derivatives over the edges. In this sense, the new method is termed “smoothed FEM” where an “inter-element” matrix is formed to smooth the derivatives over the edges. For the electron’s wave function propagation in time, the presented method exploits the time domain beam propagation method (TD-BPM). Based only on first order elements, our suggested SFETD-BPM has high accuracy levels comparable to second-order conventional FEM elements; thanks to the element smoothing. The proposed method numerical performance is tested through the analysis of a quantum resonance cavity and a quantum resonant tunneling device. It is clearly demonstrated that the presented method is not only accurate but also more time efficient than the conventional FEM approach.

Journal

Optical and Quantum ElectronicsSpringer Journals

Published: Feb 22, 2018

References

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