A study on finite-element analysis of quantum effect structures and devices 量子効果構造及びデバイスの有限要素法解析に関する研究
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Bibliographic Information
- Title
-
A study on finite-element analysis of quantum effect structures and devices
- Other Title
-
量子効果構造及びデバイスの有限要素法解析に関する研究
- Author
-
中村, 憲司
- Author(Another name)
-
ナカムラ, ケンジ
- University
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北海道大学
- Types of degree
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工学博士
- Grant ID
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乙第4148号
- Degree year
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1992-09-30
Note and Description
博士論文
Table of Contents
- Contents/p1 (3コマ目)
- I.Introduction/p1 (5コマ目)
- II.Background/p6 (8コマ目)
- 2.1 Effective Mass Approximation/p6 (8コマ目)
- 2.2 Boundary Condition at the Heterointerface/p12 (11コマ目)
- 2.3 Purpose and Process of This Study/p16 (13コマ目)
- III.Finite-Element Method/p18 (14コマ目)
- 3.1 Numerical Analyses of Differential Equations and FEM/p18 (14コマ目)
- 3.2 Variational Method and Galerkin Method/p19 (14コマ目)
- 3.3 Line Elements and Shape Functions/p21 (15コマ目)
- IV.Finite-Element Formulation of Quantum Effect Structures/p28 (19コマ目)
- 4.1 Basic Equation/p28 (19コマ目)
- 4.2 Introduction of Reduced Unit/p30 (20コマ目)
- 4.3 Finite-Element Formulation for Each Element/p31 (20コマ目)
- 4.4 Treatment of Boundary Condition at the Heterointerface/p34 (22コマ目)
- V.Analysis of Quantum Well Structures/p39 (24コマ目)
- 5.1 Eigenstates in QWSs/p40 (25コマ目)
- 5.2 Optical Properties of QWSs/p49 (29コマ目)
- 5.3 Eigenstates Calculation Using Lagrangian Elements/p67 (38コマ目)
- 5.4 Reduction Method of Calculation Time/p71 (40コマ目)
- VI.Analysis of Potential Barriers/p77 (43コマ目)
- 6.1 Transmission Probability through Potential Barriers/p78 (44コマ目)
- 6.2 Lifetime of Resonant Tunneling/p98 (54コマ目)
- VII.Analysis of Superlattices/p103 (56コマ目)
- 7.1 Method of the Analysis/p103 (56コマ目)
- 7.2 Numerical Examples/p107 (58コマ目)
- VIII.Conclusion/p118 (64コマ目)
- Acknowledgements/p122 (66コマ目)
- References/p123 (66コマ目)
- List of Author's Publication/p135 (72コマ目)
- Appendix A.Derivation of the Matrix Elements of (4・30) and (4・31)/p137 (73コマ目)
- Appendix B.Normalization of the Envelope Function/p139 (74コマ目)
- Appendix C.Analytical Solution for Rectangular QWs/p141 (75コマ目)
- Appendix D.Analytical Solution for Rectangular PBs/p144 (77コマ目)
- Appendix E.Analytical Solution for Rectangular SLs/p148 (79コマ目)