Contributions to Books:
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,
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.
Electronic version of the publication:
Created from the Publication Database of the Vienna University of Technology.