A. Jüngel, J.-F. Mennemann:

"Time-dependent simulations of multidimensional quantum waveguides using a time-splitting spectral method";

in: "ASC Report 45/2009", issued by: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2009, ISBN: 978-3-902627-02-5, 1 - 21.

The electron flow through quantum waveguides is modeled by the

time-dependent Schroedinger equation with absorbing boundary conditions,

which are realized by a negative imaginary potential. The Schroedinger

equation is discretized by a time-splitting spectral method, and the

quantum waveguides are fed by a mono-energetic incoming plane wave

pulse. The resulting algorithm is extremely efficient due to the Fast

Fourier Transform implementation of the spectral scheme. Numerical

convergence rates for a one-dimensional scattering problem are calculated.

The transmission rates of a two-dimensional T-stub quantum waveguide and a

single-branch coupler are numerically computed. Moreover, the transient

behavior of a three-dimensional T-stub waveguide is simulated.

http://www.asc.tuwien.ac.at/preprint/2009/asc45x2009.pdf

Created from the Publication Database of the Vienna University of Technology.