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calculation of resonances in open optical systems =: 開放光學系統中共振態的計算. / 開放光學系統中共振態的計算 / The calculation of resonances in open optical systems =: Kai fang guang xue xi tong zhong gong zhen tai de ji suan. / Kai fang guang xue xi tong zhong gong zhen tai de ji suan

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

Identiferoai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_320621
Date January 1995
ContributorsNg, Sik Tim., Chinese University of Hong Kong Graduate School. Division of Physics.
PublisherChinese University of Hong Kong
Source SetsThe Chinese University of Hong Kong
LanguageEnglish
Detected LanguageEnglish
TypeText, bibliography
Formatprint, 229 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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