by Chong, Cheung-Yu = 開放球腔中波動之二分量理論 / 莊翔宇. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2000. / Includes bibliographical references (leaves 84-87). / Text in English; abstracts in English and Chinese. / by Chong, Cheung-Yu = Kai fang qiu qiang zhong bo dong zhi er fen liang li lun / Zhuang Xiangyu. / Abstract --- p.i / Acknowledgments --- p.iii / Contents --- p.iv / Chapter 1 --- Introduction --- p.1 / Chapter 1.1 --- Open Cavities and Quasinormal Modes --- p.1 / Chapter 1.2 --- Completeness of Quasinormal Modes --- p.3 / Chapter 1.3 --- Objective and Outline of this Thesis --- p.5 / Chapter 2 --- Waves in One-Dimensional Open Cavities I: Completeness --- p.6 / Chapter 2.1 --- Quasinormal Modes of One-Dimensional Open Cavities --- p.6 / Chapter 2.2 --- Green's Function Formalism --- p.7 / Chapter 2.2.1 --- Construction of the Green's Function --- p.8 / Chapter 2.2.2 --- Conditions for Completeness --- p.9 / Chapter 2.2.3 --- Quasinormal Mode Expansion of the Green's Function --- p.10 / Chapter 2.3 --- Two-Component Formalism --- p.11 / Chapter 2.3.1 --- Overcompleteness --- p.11 / Chapter 2.3.2 --- Two-Component Expansion --- p.11 / Chapter 2.3.3 --- Linear Space Structure --- p.13 / Chapter 3 --- Waves in One-Dimensional Open Cavities II: Time-Independent Problems --- p.16 / Chapter 3.1 --- Perturbation Theory --- p.16 / Chapter 3.1.1 --- Formalism I: Green's Function Formalism --- p.17 / Chapter 3.1.2 --- Formalism II: Two-Component Formalism --- p.20 / Chapter 3.2 --- Diagonalization Method --- p.23 / Chapter 3.2.1 --- Formalism I: One-Component Expansion --- p.24 / Chapter 3.2.2 --- Formalism II: Green's Function Formalism --- p.25 / Chapter 3.2.3 --- Formalism III: Two-Component Formalism --- p.28 / Chapter 3.2.4 --- Numerical Example --- p.29 / Chapter 4 --- Waves in Open Spherical Cavities I: Completeness --- p.34 / Chapter 4.1 --- Quasinormal Modes of Open Spherical Cavities --- p.34 / Chapter 4.2 --- Green's Function Formalism --- p.36 / Chapter 4.2.1 --- Construction of the Green's Function --- p.37 / Chapter 4.2.2 --- Conditions for Completeness --- p.37 / Chapter 4.2.3 --- Quasinormal Mode Expansion of the Green's Function --- p.38 / Chapter 4.3 --- Two-Component Formalism --- p.39 / Chapter 4.3.1 --- Evolution Formula --- p.40 / Chapter 4.3.2 --- Two-Component Expansion --- p.48 / Chapter 4.3.3 --- Outgoing-Wave Boundary Condition --- p.49 / Chapter 4.3.4 --- Numerical Example --- p.51 / Chapter 4.3.5 --- Linear Space Structure --- p.52 / Chapter 5 --- Waves in Open Spherical Cavities II: Time-Independent Prob- lems --- p.57 / Chapter 5.1 --- Perturbation Theory --- p.57 / Chapter 5.1.1 --- Formalism I: Green's Function Formalism --- p.57 / Chapter 5.1.2 --- Formalism II: Two-Component Formalism --- p.60 / Chapter 5.2 --- Diagonalization Method --- p.61 / Chapter 5.2.1 --- Formalism I: One-Component Expansion --- p.61 / Chapter 5.2.2 --- Formalism II: Green's Function Formalism --- p.63 / Chapter 5.2.3 --- Formalism III: Two-Component Formalism --- p.64 / Chapter 5.2.4 --- Numerical Example --- p.65 / Chapter 6 --- Numerical Evolution of Outgoing Waves in Open Spherical Cav- ities --- p.73 / Chapter 6.1 --- Formulation of the Problem --- p.74 / Chapter 6.2 --- Derivation of the Boundary Condition --- p.75 / Chapter 6.3 --- Boundary Condition without High Derivatives --- p.76 / Chapter 6.4 --- Numerical results --- p.78 / Chapter 6.5 --- Discussion --- p.79 / Chapter 7 --- Conclusion --- p.82 / Chapter 7.1 --- Summary of Our Work --- p.82 / Chapter 7.2 --- Future Developments --- p.83 / Bibliography --- p.84
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_323125 |
| Date | January 2000 |
| Contributors | Chong, Cheung-Yu., Chinese University of Hong Kong Graduate School. Division of Physics. |
| Source Sets | The Chinese University of Hong Kong |
| Language | English, Chinese |
| Detected Language | English |
| Type | Text, bibliography |
| Format | print, vi, 87 leaves : ill. ; 30 cm. |
| Rights | Use 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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