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Proceedings Paper

Determination on wave function of quantum structures using finite-difference time domain
Author(s): Boyong Jia; Zhongyuan Yu; Yumin Liu
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Paper Abstract

With the interest in quantum structures, there is a need to have a flexible method that can help us to determine eigenfunctions for these structures. In this article, we present a method that accomplishes this by using the simulation of the Schrödinger equation based on finite-difference time-domain (FDTD). We choose one-and two-dimensional finite square well potential, and one-and two-dimensional harmonic oscillator potential as examples. Giving the initial condition, we determine the eigenfrequencies through a Fourier transform of the time domain data collected at the center point in the problem space. Another simulation implements a discrete Fourier transform at the eigenfrequencies at every point in the problem space, hence, the eigenfunctions can be constructed.

Paper Details

Date Published: 12 December 2007
PDF: 10 pages
Proc. SPIE 6782, Optoelectronic Materials and Devices II, 678220 (12 December 2007); doi: 10.1117/12.743592
Show Author Affiliations
Boyong Jia, Beijing Univ. of Posts and Telecommunications (China)
Key Lab. of Optical Communication and Lightwave Technologies (China)
Zhongyuan Yu, Beijing Univ. of Posts and Telecommunications (China)
Key Lab. of Optical Communication and Lightwave Technologies (China)
Yumin Liu, Beijing Univ. of Posts and Telecommunications (China)
Key Lab. of Optical Communication and Lightwave Technologies (China)


Published in SPIE Proceedings Vol. 6782:
Optoelectronic Materials and Devices II
Yoshiaki Nakano, Editor(s)

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