A higher order electron wave propagation method

Author

Sarangan, Andrew M. ; Huang, Wei-Ping

Author_Institution

Dept. of Electr. & Comput. Eng., Waterloo Univ., Ont., Canada

Volume

31

Issue

6

fYear

1995

fDate

6/1/1995 12:00:00 AM

Firstpage

1107

Lastpage

1113

Abstract

A finite-difference propagation scheme for simulating electron currents through arbitrary quantum structures is presented in this paper. It is shown that due to the strong interaction of external fields and electrons, the trajectories predicted using higher order propagation operators are a significant improvement over that of lower order schemes, especially in cases where the longitudinal electron momentum is not accurately known. A novel boundary condition based on the popular transparent boundary condition is used for minimizing unphysical reflections off the computation boundaries even in the presence of strong lateral electric fields. The application of this scheme is illustrated through a few examples

Keywords

boundary-value problems; electron optics; electron waveguides; finite difference methods; wave propagation; arbitrary quantum structures; boundary condition; computation boundaries; electron currents; electrons; external fields; finite-difference propagation scheme; higher order electron wave propagation method; higher order propagation operators; longitudinal electron momentum; strong interaction; strong lateral electric fields; transparent boundary condition; unphysical reflections; Boundary conditions; Electron optics; High speed optical techniques; Interference; Optical propagation; Optical reflection; Optical refraction; Optical variables control; Temperature; Ultrafast optics;

fLanguage

English

Journal_Title

Quantum Electronics, IEEE Journal of

Publisher

ieee

ISSN

0018-9197

Type

jour

DOI

10.1109/3.387049

Filename

387049