Equivalent network approach for multistep discontinuities in electron waveguides

Author

Kaji, Ryosaku ; Koshiba, Masanori

Author_Institution

Dept. of Electron. Eng., Hokkaido Univ., Sapporo, Japan

Volume

31

Issue

1

fYear

1995

fDate

1/1/1995 12:00:00 AM

Firstpage

8

Lastpage

19

Abstract

An analysis method is described for multistep discontinuities in electron waveguides composed of semiconductor heterostructures. The method is based on a rigorous mode-matching procedure that takes into account the effects of external finite potential and spatially varying effective mass. Stress is placed on network representations to establish physical pictures of the quantum effects and to yield insight; in addition, a systematic microwave network approach is employed. The equivalent network representation is given for the waveguide modes propagating normally to the step discontinuity, and the mode-matching procedure is described for the boundary-value problem of the step discontinuity. Combining the above two procedures, the super-cascade matrix formulation is carried out, from which the reflection and transmission characteristics of multistep discontinuities in electron waveguides can be estimated. In order to show the validity and usefulness of this approach, examples are computed for constriction structures composed of three-layered electron waveguides

Keywords

boundary-value problems; electron waveguides; equivalent circuits; mode matching; semiconductor heterojunctions; semiconductor quantum wells; waveguide theory; analysis method; boundary-value problem; electron waveguides; equivalent network approach; equivalent network representation; external finite potential; multistep discontinuities; network representations; physical pictures; quantum effects; rigorous mode-matching procedure; semiconductor heterostructures; spatially varying effective mass; step discontinuity; super-cascade matrix formulation; systematic microwave network approach; three-layered electron waveguides; waveguide modes; Effective mass; Electrons; Intelligent networks; Microwave propagation; Planar waveguides; Semiconductor waveguides; Stress; Transmission line matrix methods; Waveguide components; Waveguide discontinuities;

fLanguage

English

Journal_Title

Quantum Electronics, IEEE Journal of

Publisher

ieee

ISSN

0018-9197

Type

jour

DOI

10.1109/3.341702

Filename

341702