by Ng Sik Tim. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1995. / Includes bibliographical references (leaf 229). / by Ng Sik Tim. / Chapter 1 --- Introduction --- p.6 / Chapter 1.1 --- Resonances in open systems --- p.6 / Chapter 1.2 --- Descriptions of open optical systems --- p.11 / Chapter 1.3 --- The wave equations and E.M. fields --- p.17 / Chapter 2 --- The stabilization method --- p.20 / Chapter 2.1 --- Introduction --- p.20 / Chapter 2.2 --- Formalism --- p.23 / Chapter 2.2.1 --- The derivation of scattering phase shift --- p.23 / Chapter 2.2.2 --- The cumulative density of states --- p.25 / Chapter 2.3 --- Worked examples --- p.32 / Chapter 2.3.1 --- The importance of large b --- p.32 / Chapter 2.3.2 --- The comparison of different approaches --- p.35 / Chapter 2.3.3 --- Summary --- p.52 / Chapter 2.4 --- Other examples --- p.52 / Chapter 2.4.1 --- Discussions --- p.52 / Chapter 3 --- Completeness and orthogonality of QNM's --- p.64 / Chapter 3.1 --- Introduction --- p.64 / Chapter 3.2 --- QNM's of the scalar analog of electromagnetism --- p.65 / Chapter 3.3 --- The representation of Green's function --- p.66 / Chapter 3.4 --- The completeness of QNM's --- p.72 / Chapter 3.5 --- The orthogonality of QNM's --- p.73 / Chapter 3.6 --- Discussions --- p.75 / Chapter 4 --- Variational method for resonant states --- p.78 / Chapter 4.1 --- Introduction --- p.78 / Chapter 4.2 --- Formalism --- p.79 / Chapter 4.2.1 --- Complex variational method --- p.79 / Chapter 4.2.2 --- Non-linear variation --- p.82 / Chapter 4.2.3 --- Linear variation --- p.84 / Chapter 4.2.4 --- The orthogonality of approximate wave function --- p.85 / Chapter 4.3 --- Numerical examples --- p.86 / Chapter 4.3.1 --- A sketch of calculations --- p.86 / Chapter 5 --- The diagonalization method --- p.98 / Chapter 5.1 --- Introduction --- p.98 / Chapter 5.2 --- Completeness and orthogonality --- p.100 / Chapter 5.3 --- Formalism --- p.101 / Chapter 5.4 --- Numerical examples --- p.107 / Chapter 5.4.1 --- Descriptions of examples and results --- p.108 / Chapter 5.4.2 --- Summary of results --- p.131 / Chapter 5.5 --- Discussions --- p.134 / Chapter 5.5.1 --- The case with a > c --- p.134 / Chapter 5.5.2 --- A comparison with Fourier's series --- p.138 / Chapter 6 --- The Green's function method --- p.147 / Chapter 6.1 --- Formalism --- p.147 / Chapter 6.2 --- Numerical results --- p.154 / Chapter 6.3 --- Discussions --- p.173 / Chapter 7 --- The uniqueness theorem of QNM's --- p.179 / Chapter 7.1 --- A brief review --- p.179 / Chapter 7.2 --- Physical meanings of the conditions --- p.184 / Chapter 7.3 --- The uniqueness theorem of QNM's --- p.188 / Chapter 7.4 --- The generalization of diagonalization --- p.190 / Chapter 7.5 --- Derivation of Green's function method --- p.192 / Chapter 7.6 --- Numerical examples --- p.193 / Chapter 8 --- Conclusion --- p.204 / Chapter A --- The scalar wave equations --- p.207 / Chapter B --- The electromagnetic fields --- p.214 / Chapter C --- Second order expansion in B --- p.217 / Chapter D --- The derivation of D(w) --- p.220 / Chapter E --- The stability of eigenvectors --- p.223
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_320621 |
| Date | January 1995 |
| Contributors | Ng, Sik Tim., Chinese University of Hong Kong Graduate School. Division of Physics. |
| Publisher | Chinese University of Hong Kong |
| Source Sets | The Chinese University of Hong Kong |
| Language | English |
| Detected Language | English |
| Type | Text, bibliography |
| Format | print, 229 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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