Yuen, Kin Pong. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1997. / Includes bibliographical references (leaves 93-95). / Yuen, Kin Pong. / Contents --- p.i / Abstract --- p.iv / Acknowledgement --- p.v / List of Figures --- p.vi / Chapter Chapter 1. --- Introduction --- p.1 / Chapter Chapter 2. --- Optically Bistable Behavior --- p.5 / Chapter 2.1 --- Bistable behavior of two component composites --- p.5 / Chapter 2.1.1 --- Formalism --- p.6 / Chapter 2.1.2 --- Results and Discussion --- p.7 / Chapter 2.1.3 --- Stability analysis --- p.9 / Chapter 2.2 --- Bistable behavior of three component composites: Nonlinear dielec- tric core embedded in a metallic shell --- p.11 / Chapter 2.2.1 --- Spectral representation of the local field --- p.11 / Chapter 2.2.2 --- The onset of bistable behavior --- p.20 / Chapter 2.2.3 --- The extinction coefficient and reflectance at normal incidence --- p.24 / Chapter 2.2.4 --- Discussion and Conclusion --- p.28 / Chapter 2.3 --- Bistable behavior of three component composites: Metallic core em- bedded in a nonlinear dielectric shell --- p.30 / Chapter 2.3.1 --- Linear response of spherical inclusions and concentric spheres --- p.31 / Chapter 2.3.2 --- Onset of bistable behavior --- p.35 / Chapter 2.3.3 --- Results and Discussion --- p.41 / Chapter 2.4 --- Possible development of the spectral representation --- p.44 / Chapter Chapter 3. --- Optical Repsonse of a Nonlinear Composite Film --- p.45 / Chapter 3.1 --- Enhanced nonlinear response of coated spheres --- p.46 / Chapter 3.2 --- Solution of nonlinear wave equation --- p.48 / Chapter 3.3 --- Results and Discussion --- p.49 / Chapter 3.4 --- Conclusion --- p.52 / Chapter 3.5 --- Transfer matrix formalism for transmittance: Possible control over the size of a photonic band gap --- p.52 / Chapter 3.5.1 --- Transfer matrix method --- p.54 / Chapter Chapter 4. --- Bounds and Estimates for Nonlinear Composites --- p.59 / Chapter 4.1 --- Linear response of spherical inclusions --- p.60 / Chapter 4.2 --- Strongly nonlinear response of spherical inclusions --- p.61 / Chapter 4.3 --- Linear response of concentric spheres --- p.64 / Chapter 4.4 --- Strongly nonlinear response of concentric spheres --- p.66 / Chapter 4.5 --- Some exactly solvable cases --- p.68 / Chapter 4.6 --- Concentric spheres with nonlinear shell embedded in a linear dielec- tric host --- p.71 / Chapter 4.7 --- Discussion and Conclusion --- p.73 / Chapter 4.8 --- Small contrast expansion --- p.75 / Chapter 4.9 --- Hashin-Shtrikman microgeometry --- p.78 / Chapter 4.10 --- Exact bounds for linear composites --- p.79 / Chapter 4.11 --- Variational approach for Hashin-Shtrikman microstructure --- p.82 / Chapter 4.12 --- Improved variational approach --- p.85 / Chapter 4.13 --- Discussion and Conclusion --- p.87 / Appendix A. Derivation of the Energy Functional --- p.88 / Chapter A.1 --- The energy functional --- p.88 / Chapter A.2 --- Effect of higher order terms to the energy functional --- p.91 / Bibliography --- p.93

Law, Man Fai. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1998. / Includes bibliographical references (leaves 84-86). / Text in English; abstract also in Chinese. / Law, Man Fai. / Contents --- p.i / Abstract --- p.iii / Acknowledgement --- p.iv / List of Figures --- p.v / List of Tables --- p.ix / Chapter Chapter 1. --- Introduction --- p.1 / Chapter Chapter 2. --- Spectral Representation of Composite Materials --- p.4 / Chapter 2.1 --- Spectral method --- p.6 / Chapter 2.2 --- General properties --- p.10 / Chapter 2.3 --- Duality --- p.12 / Chapter 2.4 --- Dilute limit --- p.13 / Chapter 2.5 --- Effective-medium approximation (EMA) --- p.15 / Chapter 2.6 --- Moment expansions --- p.16 / Chapter Chapter 3. --- Local Field Effect and Depolarization Factor --- p.19 / Chapter 3.1 --- Isotropic homogeneous media --- p.20 / Chapter 3.2 --- Linear anisotropic homogeneous media --- p.22 / Chapter 3.3 --- Inhomogeneous anisotropic media --- p.24 / Chapter Chapter 4. --- Simulation on Correlated Microstructures --- p.26 / Chapter 4.1 --- Solving the nonlinear impedance networks --- p.27 / Chapter 4.2 --- Models of correlated microstructure --- p.29 / Chapter 4.2.1 --- Two-site correlated microstruture --- p.29 / Chapter 4.2.2 --- Environment correlated microstructure --- p.38 / Chapter 4.3 --- Conclusions --- p.45 / Chapter Chapter 5. --- Simulation on Anisotropic Microstructure --- p.46 / Chapter 5.1 --- Solving anisotropic impedance networks --- p.50 / Chapter 5.2 --- Simulation and results --- p.50 / Chapter 5.2.1 --- Parallel response --- p.51 / Chapter 5.2.2 --- Perpendicular response --- p.57 / Chapter 5.2.3 --- Unpolarized response --- p.61 / Chapter 5.3 --- Conclusions --- p.65 / Chapter Chapter 6. --- Conclusions --- p.66 / Appendix A. Symbolic Simulation --- p.67 / Chapter A.1 --- Formalism --- p.67 / Chapter A.2 --- Scaling Properties --- p.69 / Chapter A.3 --- The simulation --- p.71 / Appendix B. Fluctuation of Local Field in Composite Materials --- p.74 / Chapter B.l --- Simulations and Results --- p.74 / Appendix C. Lattice Animals in Correlated Network --- p.82 / Bibliography --- p.84