Keywords

Finite-element discretization of Schrödinger equation, Sturm sequence eigenvalue algorithm, Reverse-iteration eigenfunction computation with orthogonality, Resonant states in quantum well and superlattice devices, Simulation vs experimental validation of device spectra

Abstract

This thesis is concerned with the development of a numerical model to describe the resonant states associated with quantum well and superlattice devices. A numerical method is described where the time-independent Schrodinger equation is represented as a series of simultaneous algebraic equations using the finite-element method. The eigenvalues for these equations are then found using a Sturm sequence, and the eigenfunctions subsequently calculated using a reverse iteration method containing orthogonality constraints. Simulations of specific devices are presented and compared with experimental results and good correlation is observed.

Notes

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Graduation Date

1988

Semester

Fall

Advisor

Brown, Harold K.

Degree

Master of Science (M.S.)

College

College of Engineering

Department

Electrical Engineering and Communication Sciences

Format

PDF

Pages

111 pages

Language

English

Rights

Public Domain

Length of Campus-only Access

None

Access Status

Masters Thesis (Open Access)

Identifier

DP0025785

Subjects

Dissertations; Academic -- Engineering; Engineering -- Dissertations; Academic; Quantum wells--Mathematical models; Sturm-Liouville equation--Numerical solutions; Finite element method--Study and teaching; Semiconductors--Simulation methods; Electronic structure--Mathematical models

Accessibility Status

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