Kai fang qiu qiang zhong bo dong zhi er fen liang li lun

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.iAcknowledgments --- p.iiiContents --- p.ivChapter 1 --- Introduction --- p.1Chapter 1.1 --- Open Cavities and Quasinormal Modes --- p.1Chapter 1.2 --- Completeness of Quasinormal Modes --- p.3Chapter 1.3 --- Objective and Outline of this Thesis --- p.5Chapter 2 --- Waves in One-Dimensional Open Cavities I: Completeness --- p.6Chapter 2.1 --- Quasinormal Modes of One-Dimensional Open Cavities --- p.6Chapter 2.2 --- Green's Function Formalism --- p.7Chapter 2.2.1 --- Construction of the Green's Function --- p.8Chapter 2.2.2 --- Conditions for Completeness --- p.9Chapter 2.2.3 --- Quasinormal Mode Expansion of the Green's Function --- p.10Chapter 2.3 --- Two-Component Formalism --- p.11Chapter 2.3.1 --- Overcompleteness --- p.11Chapter 2.3.2 --- Two-Component Expansion --- p.11Chapter 2.3.3 --- Linear Space Structure --- p.13Chapter 3 --- Waves in One-Dimensional Open Cavities II: Time-Independent Problems --- p.16Chapter 3.1 --- Perturbation Theory --- p.16Chapter 3.1.1 --- Formalism I: Green's Function Formalism --- p.17Chapter 3.1.2 --- Formalism II: Two-Component Formalism --- p.20Chapter 3.2 --- Diagonalization Method --- p.23Chapter 3.2.1 --- Formalism I: One-Component Expansion --- p.24Chapter 3.2.2 --- Formalism II: Green's Function Formalism --- p.25Chapter 3.2.3 --- Formalism III: Two-Component Formalism --- p.28Chapter 3.2.4 --- Numerical Example --- p.29Chapter 4 --- Waves in Open Spherical Cavities I: Completeness --- p.34Chapter 4.1 --- Quasinormal Modes of Open Spherical Cavities --- p.34Chapter 4.2 --- Green's Function Formalism --- p.36Chapter 4.2.1 --- Construction of the Green's Function --- p.37Chapter 4.2.2 --- Conditions for Completeness --- p.37Chapter 4.2.3 --- Quasinormal Mode Expansion of the Green's Function --- p.38Chapter 4.3 --- Two-Component Formalism --- p.39Chapter 4.3.1 --- Evolution Formula --- p.40Chapter 4.3.2 --- Two-Component Expansion --- p.48Chapter 4.3.3 --- Outgoing-Wave Boundary Condition --- p.49Chapter 4.3.4 --- Numerical Example --- p.51Chapter 4.3.5 --- Linear Space Structure --- p.52Chapter 5 --- Waves in Open Spherical Cavities II: Time-Independent Prob- lems --- p.57Chapter 5.1 --- Perturbation Theory --- p.57Chapter 5.1.1 --- Formalism I: Green's Function Formalism --- p.57Chapter 5.1.2 --- Formalism II: Two-Component Formalism --- p.60Chapter 5.2 --- Diagonalization Method --- p.61Chapter 5.2.1 --- Formalism I: One-Component Expansion --- p.61Chapter 5.2.2 --- Formalism II: Green's Function Formalism --- p.63Chapter 5.2.3 --- Formalism III: Two-Component Formalism --- p.64Chapter 5.2.4 --- Numerical Example --- p.65Chapter 6 --- Numerical Evolution of Outgoing Waves in Open Spherical Cav- ities --- p.73Chapter 6.1 --- Formulation of the Problem --- p.74Chapter 6.2 --- Derivation of the Boundary Condition --- p.75Chapter 6.3 --- Boundary Condition without High Derivatives --- p.76Chapter 6.4 --- Numerical results --- p.78Chapter 6.5 --- Discussion --- p.79Chapter 7 --- Conclusion --- p.82Chapter 7.1 --- Summary of Our Work --- p.82Chapter 7.2 --- Future Developments --- p.83Bibliography --- p.8