Cheung Ping. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1998. / Includes bibliographical references (leaf 170). / Text in English; abstract also in Chinese. / Cheung Ping. / Acknowledgements --- p.i / Abstract --- p.ii / Chapter 1 --- Introduction --- p.1 / Chapter Part I : --- Effective Parameters for Wave Mixing Phenomenon in Random Nonlinear Composites --- p.7 / Chapter 2 --- General Three Waves Mixing --- p.7 / Chapter 2.1 --- "Defining the nonlinear effects, basic equations" --- p.8 / Chapter 2.2 --- Defining the effective response --- p.12 / Chapter 2.3 --- Formalism --- p.13 / Chapter 2.4 --- Discussion --- p.19 / Chapter 3 --- Effective medium approximation for three wave mixing --- p.21 / Chapter 3.1 --- Decoupling methods --- p.21 / Chapter 3.2 --- Effective medium approximation (EMA) --- p.22 / Chapter 4 --- Second Harmonic Generation --- p.26 / Chapter 4.1 --- Simple EMA vs Modified EMA --- p.26 / Chapter 4.2 --- Dilute limit formula for second harmonic generation --- p.28 / Chapter 4.3 --- Composite of two non-linear components --- p.33 / Chapter 5 --- Numerical Model and Computer Simulations --- p.35 / Chapter 5.1 --- Model --- p.35 / Chapter 5.2 --- Direct Simulation --- p.37 / Chapter 5.3 --- Voltage Summation Method(VSM) --- p.40 / Chapter 5.4 --- Simulation parameters --- p.41 / Chapter 5.4.1 --- Dielectric Composite --- p.41 / Chapter 5.4.2 --- Metal-Insulator Composite --- p.42 / Chapter 5.5 --- Simulation results and discussion --- p.42 / Chapter 5.5.1 --- Linear case --- p.42 / Chapter 5.5.2 --- Second harmonic generation --- p.44 / Chapter 6 --- Concentration ratio and geometry effect of composite --- p.49 / Chapter 6.1 --- Percolation effect and critical exponents for SHG --- p.49 / Chapter 6.1.1 --- Insulator-normal conductor system --- p.50 / Chapter 6.1.2 --- Superconductor-normal conductor system --- p.53 / Chapter 6.2 --- Enhancement of second order susceptibility --- p.54 / Chapter 6.2.1 --- Simple EMA --- p.55 / Chapter 6.2.2 --- Modified EMA --- p.56 / Chapter 7 --- General Four Waves Mixing --- p.58 / Chapter 7.1 --- Terminology --- p.59 / Chapter 7.2 --- Defining the effective response --- p.61 / Chapter 7.3 --- Theory of general four wave mixing --- p.62 / Chapter 8 --- Third Harmonic Generation --- p.69 / Chapter 9 --- Computer Simulations on Third Harmonic Generation --- p.72 / Chapter 9.1 --- Voltage Summation Method (VSM) for THG --- p.73 / Chapter 9.2 --- Simulation parameters --- p.74 / Chapter 9.2.1 --- Dielectric Composite --- p.74 / Chapter 9.2.2 --- Metal-Insulator Composite --- p.74 / Chapter 9.3 --- Simulation results and discussion --- p.75 / Chapter 9.3.1 --- Dielectric composite --- p.75 / Chapter 9.3.2 --- Intrinsic third order susceptibility only --- p.75 / Chapter 10 --- Applications --- p.79 / Chapter 10.1 --- Coated sphere problem --- p.79 / Chapter 10.1.1 --- Model Composite --- p.79 / Chapter 10.1.2 --- Local field ratio --- p.81 / Chapter 10.1.3 --- Calculation of Ee --- p.84 / Chapter 10.1.4 --- The effective non-linear response --- p.86 / Chapter 10.2 --- Ferroelectric Composite --- p.91 / Chapter 11 --- Conclusions --- p.96 / Chapter Part II : --- Other Related Topics In Inhomogeneous Sys- tems --- p.99 / Chapter 12 --- Modified EMA for Kerr effect non-linear composite --- p.99 / Chapter 12.1 --- Theory --- p.99 / Chapter 12.2 --- Discussion --- p.101 / Chapter 12.3 --- Numeric Simulations --- p.102 / Chapter 12.4 --- Conclusion --- p.103 / Chapter 13 --- Clustering Effects in Nonlinear Random Composites --- p.104 / Chapter 13.1 --- Clustering in Binary composites of Strongly Nonlinear Conductors --- p.105 / Chapter 13.1.1 --- Computer simulation model on clustering effects --- p.105 / Chapter 13.1.2 --- DEMA --- p.107 / Chapter 13.1.3 --- DEMA applied to deterministic fractals --- p.109 / Chapter 13.1.4 --- DEMA applied to DLCA clusters --- p.111 / Chapter 13.2 --- Clustering Effects for Second Harmonic Generation --- p.115 / Chapter 14 --- Supercell band structure calculation of inhomogeneous media --- p.117 / Chapter 14.1 --- Electronic structure of porous silicon and germanium --- p.117 / Chapter 14.1.1 --- Porous Silicon --- p.119 / Chapter 14.1.2 --- Porous Germanium --- p.122 / Chapter 14.2 --- Band gap investigation of Si-C alloys --- p.122 / Chapter 14.3 --- Future work --- p.123 / Chapter 15 --- Dice games and Markov Processes --- p.125 / Chapter 16 --- Bar attendance problem --- p.133 / Chapter 16.1 --- Bar-attendance model --- p.133 / Chapter 16.2 --- Time series analysis --- p.134 / Chapter 16.3 --- Distribution of attendance and volatility --- p.137 / Chapter 16.4 --- Performance index --- p.139 / Chapter Part III : --- Appendices --- p.145 / A --- p.145 / B --- p.155
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_322240 |
| Date | January 1998 |
| Contributors | Cheung, Ping., 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, xiii, 170 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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