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Wavelet-based galerkin method for semiconductor device simulation.

by Chan Chung-Kei, Thomas. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1998. / Includes bibliographical references (leaves 125-[129]). / Abstract also in Chinese. / Chapter 1 --- Introduction --- p.1 / Chapter 2 --- Semiconductor Device Physics --- p.5 / Chapter 2.1 --- IC Design Methodology --- p.6 / Chapter 2.1.1 --- System Level --- p.7 / Chapter 2.1.2 --- Circuit Level --- p.7 / Chapter 2.1.3 --- Device Level --- p.8 / Chapter 2.1.4 --- Process Level --- p.8 / Chapter 2.2 --- Classification of Device Models --- p.8 / Chapter 2.2.1 --- Circuit Models --- p.9 / Chapter 2.2.2 --- Physical Models --- p.10 / Chapter 2.3 --- Classical Drift-Diffusion model --- p.13 / Chapter 2.3.1 --- Basic Governing Equations in Semiconductors --- p.13 / Chapter 2.3.2 --- Shockley-Read-Hall Recombination Statics --- p.15 / Chapter 2.3.3 --- Boundary Conditions --- p.18 / Chapter 2.4 --- pn Junction at equilibrium --- p.20 / Chapter 2.4.1 --- The depletion approximation --- p.23 / Chapter 2.4.2 --- Current-voltage Characteristics --- p.26 / Chapter 3 --- Iteration Scheme --- p.30 / Chapter 3.1 --- Gummel's iteration scheme --- p.31 / Chapter 3.2 --- Modified Gummel's iteration scheme --- p.35 / Chapter 3.3 --- Solution of Differential Equation --- p.38 / Chapter 3.3.1 --- Finite Difference Method --- p.38 / Chapter 3.3.2 --- Moment Method --- p.39 / Chapter 4 --- Theory of Wavelets --- p.43 / Chapter 4.1 --- Multi-resolution Analysis --- p.43 / Chapter 4.1.1 --- Example of MRA with Haar Wavelet --- p.46 / Chapter 4.2 --- Orthonormal basis of Wavelets --- p.52 / Chapter 4.3 --- Fast Wavelet Transform --- p.56 / Chapter 4.4 --- Wavelets on the interval --- p.62 / Chapter 5 --- Galerkin-Wavelet Method --- p.66 / Chapter 5.1 --- Wavelet-based Moment Methods --- p.67 / Chapter 5.1.1 --- Wavelet transform on the stiffness matrix --- p.67 / Chapter 5.1.2 --- Wavelets as basis functions --- p.68 / Chapter 5.2 --- Galerkin-Wavelet method --- p.69 / Chapter 5.2.1 --- Boundary Conditions --- p.73 / Chapter 5.2.2 --- Adaptive Scheme --- p.74 / Chapter 5.2.3 --- The Choice of Classes of Wavelet Bases --- p.76 / Chapter 6 --- Numerical Results --- p.80 / Chapter 6.1 --- Steady State Solution --- p.81 / Chapter 6.1.1 --- Daubechies Wavelet N = 2 --- p.82 / Chapter 6.1.2 --- Daubechies Wavelet N=5 --- p.84 / Chapter 6.1.3 --- Discussion on Daubechies wavelets N = 2 and N=5 --- p.86 / Chapter 6.2 --- Transient Solution --- p.91 / Chapter 6.3 --- Convergence --- p.99 / Chapter 7 --- Conclusion --- p.103 / Chapter A --- Derivation for steady state --- p.107 / Chapter A.1 --- Generalized Moll-Ross Relation --- p.107 / Chapter A.2 --- Linearization of PDEs --- p.110 / Chapter B --- Derivation for transient state --- p.113 / Chapter C --- Notation --- p.119 / Chapter D --- Elements in the Stiffness Matrix --- p.122 / Bibliography --- p.125

Identiferoai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_322246
Date January 1998
ContributorsChan, Chung-Kei Thomas., Chinese University of Hong Kong Graduate School. Division of Electronic Engineering.
Source SetsThe Chinese University of Hong Kong
LanguageEnglish, Chinese
Detected LanguageEnglish
TypeText, bibliography
Formatprint, xii, 125, [4] leaves : ill. ; 30 cm.
RightsUse of this resource is governed by the terms and conditions of the Creative Commons “Attribution-NonCommercial-NoDerivatives 4.0 International” License (http://creativecommons.org/licenses/by-nc-nd/4.0/)

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