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Kwok Chun Ming. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1999. / Includes bibliographical references (leaves [389]-393). / Text in English; abstracts in English and Chinese. / Kwok Chun Ming. / Abstract --- p.i / Acknowledgement --- p.iii / Contents --- p.iv / List of Figures --- p.ix / Chapter Chapter 1. --- Introduction --- p.1 / Chapter 1.1 --- Introduction --- p.1 / Chapter 1.2 --- Objective and Methodology --- p.3 / Chapter Chapter 2. --- Theory of the Jaynes-Cummings model --- p.5 / Chapter 2.1 --- Formulation of the Jaynes-Cummings model --- p.5 / Chapter 2.1.1 --- Quantization of the Electromagnetic Field --- p.6 / Chapter 2.1.2 --- Quantization of the Matter Field --- p.11 / Chapter 2.1.3 --- The Interaction between the Radiation and the Matter --- p.13 / Chapter 2.1.4 --- Formulation of the One-quantum JCM --- p.15 / Chapter 2.2 --- Energy Eigenstates and Eigenenergy Spectrum --- p.18 / Chapter 2.3 --- Initial States and Observables --- p.20 / Chapter 2.3.1 --- Initial States --- p.20 / Chapter 2.3.2 --- Field Observables --- p.24 / Chapter 2.3.3 --- Atomic Observables --- p.25 / Chapter 2.4 --- Conclusion --- p.27 / Chapter Chapter 3. --- "Generalized SU(1,1) JCM" --- p.28 / Chapter 3.1 --- "Diagonalization of the SU(1,1) JCM" --- p.28 / Chapter 3.2 --- "SU(1,1) Coherent States and Observables" --- p.32 / Chapter 3.2.1 --- "Realizations of the SU(1,1) JCM" --- p.33 / Chapter 3.2.2 --- "SU(1,1) Coherent States" --- p.33 / Chapter 3.2.3 --- Field Observables --- p.35 / Chapter 3.3 --- Conclusion --- p.36 / Chapter Chapter 4. --- "One-mode, Intensity-dependent JCM" --- p.37 / Chapter 4.1 --- "Properties of the One-mode, Intensity-dependent JCM" --- p.37 / Chapter 4.2 --- Squeezing Effect --- p.40 / Chapter 4.2.1 --- Ordinary Amplitude Squeezing --- p.41 / Chapter 4.2.2 --- "SU(1,1) Squeezing" --- p.44 / Chapter 4.2.3 --- SU(2) Squeezing --- p.47 / Chapter 4.3 --- Atomic Inversion --- p.49 / Chapter 4.4 --- Q-function --- p.52 / Chapter 4.4.1 --- Ordinary Q-function --- p.53 / Chapter 4.4.2 --- "SU(1,1) Q-function" --- p.59 / Chapter 4.5 --- Purity Function --- p.65 / Chapter 4.5.1 --- Field Purity Function --- p.65 / Chapter 4.5.2 --- Atomic Purity Function --- p.68 / Chapter 4.6 --- Asymptotic Behavior of Field Squeezing --- p.70 / Chapter 4.7 --- Conclusion --- p.75 / Chapter Chapter 5. --- "One-mode, Two-quantum JCM" --- p.191 / Chapter 5.1 --- "Properties of the One-mode, Two-quantum JCM" --- p.191 / Chapter 5.2 --- Squeezing --- p.196 / Chapter 5.2.1 --- Ordinary Amplitude Squeezing --- p.197 / Chapter 5.2.2 --- "SU(1,1) squeezing" --- p.202 / Chapter 5.2.3 --- SU(2) squeezing --- p.205 / Chapter 5.3 --- Atomic Inversion --- p.206 / Chapter 5.4 --- Q-function --- p.210 / Chapter 5.4.1 --- Ordinary Q-function --- p.210 / Chapter 5.4.2 --- "SU(1,1) Q-function" --- p.215 / Chapter 5.5 --- Purity Function --- p.217 / Chapter 5.5.1 --- Field Purity Function --- p.217 / Chapter 5.5.2 --- Atomic Purity Function --- p.222 / Chapter 5.6 --- Conclusion --- p.225 / Chapter Chapter 6. --- "Two-mode, Two-quantum JCM" --- p.254 / Chapter 6.1 --- "Properties of the Two-mode, Two-quantum JCM" --- p.254 / Chapter 6.2 --- Squeezing --- p.260 / Chapter 6.2.1 --- Ordinary Amplitude Squeezing --- p.260 / Chapter 6.2.2 --- "SU(1,1) Squeezing" --- p.264 / Chapter 6.2.3 --- SU(2) Squeezing --- p.267 / Chapter 6.3 --- Atomic Inversion --- p.269 / Chapter 6.4 --- Q-function --- p.271 / Chapter 6.4.1 --- "SU(1,1) Q-function" --- p.271 / Chapter 6.5 --- Purity Function --- p.273 / Chapter 6.5.1 --- Field Purity Function --- p.273 / Chapter 6.5.2 --- Atomic Purity Function --- p.275 / Chapter 6.6 --- Conclusion --- p.277 / Chapter Chapter 7. --- "Generalized One-mode, Intensity-dependent JCM" --- p.300 / Chapter 7.1 --- "Diagonalization of the Generalizated One-mode, Intensity-dependent JCM" --- p.301 / Chapter 7.2 --- Energy Eigenstates and Eigenenergy Spectrum --- p.307 / Chapter 7.2.1 --- Energy Eigenstates --- p.307 / Chapter 7.2.2 --- Eigenergy Spectrum --- p.309 / Chapter 7.3 --- Conclusion --- p.310 / Chapter Chapter 8. --- Single Trapped and Laser-irradiated JCM --- p.311 / Chapter 8.1 --- Properties of the One-quantum STLI JCM --- p.311 / Chapter 8.2 --- Squeezing Effect --- p.315 / Chapter 8.2.1 --- Ordinary Amplitude Squeezing --- p.315 / Chapter 8.2.2 --- "SU(1,1) Squeezing" --- p.320 / Chapter 8.2.3 --- SU(2) Squeezing --- p.323 / Chapter 8.3 --- Atomic Inversion --- p.326 / Chapter 8.4 --- Q-function --- p.329 / Chapter 8.4.1 --- Ordinary Q-function --- p.329 / Chapter 8.4.2 --- "SU(1,1) Q-function" --- p.332 / Chapter 8.5 --- Purity Function --- p.334 / Chapter 8.5.1 --- Field Purity Function --- p.335 / Chapter 8.5.2 --- Atomic Purity function --- p.338 / Chapter 8.6 --- Non-classical Effects of the Two-quantum STLI JCM --- p.341 / Chapter 8.7 --- Conclusion --- p.342 / Chapter Chapter 9. --- Conclusion --- p.386 / Bibliography --- p.389

published_or_final_version / abstract / toc / Mechanical Engineering / Master / Master of Philosophy

Ng Kin Man. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1997. / Includes bibliographical references (leaves 186-189). / Ng Kin Man. / Contents --- p.i / List of Figures --- p.ii / Abstract --- p.iv / Acknowledgement --- p.v / Chapter Chapter 1. --- Introduction --- p.1 / Chapter 1.1 --- Introduction --- p.1 / Chapter 1.2 --- Objective and Methodology --- p.3 / Chapter Chapter 2. --- Theory of the Jaynes-Cummings model --- p.6 / Chapter 2.1 --- Formulation of the Problem --- p.6 / Chapter 2.1.1 --- Quantization of the Electromagnetic Field --- p.7 / Chapter 2.1.2 --- Quantization of the Matter Field --- p.11 / Chapter 2.1.3 --- The Interaction between the Radiation and the Matter --- p.12 / Chapter 2.1.4 --- Formulation of the one-photon JCM --- p.14 / Chapter 2.2 --- Eenergy eigenstates and Eigenvalue Spectrum --- p.16 / Chapter 2.3 --- Dynamics of the one-photon JCM --- p.18 / Chapter 2.3.1 --- The time evolution of the system --- p.19 / Chapter 2.3.2 --- Atomic Observables --- p.20 / Chapter 2.3.3 --- Field Observables --- p.23 / Chapter 2.4 --- Asymptotic solution of the JCM --- p.27 / Chapter 2.5 --- Discussion of the role of the RWA in the JCM --- p.29 / Chapter 2.6 --- Conclusion --- p.30 / Chapter Chapter 3. --- Numerical Results for the one-photon JCM --- p.40 / Chapter 3.1 --- Eigenstates and Eigenvalue Spectrum --- p.40 / Chapter 3.2 --- Dynamics of the System --- p.44 / Chapter 3.2.1 --- Atomic Observables --- p.44 / Chapter 3.2.2 --- Field Observables --- p.45 / Chapter 3.3 --- Conclusion --- p.47 / Chapter Chapter 4. --- Generalization of the JCM --- p.60 / Chapter 4.1 --- Multiphoton JCM --- p.60 / Chapter 4.2 --- Intensity-dependent JCM --- p.62 / Chapter 4.3 --- Two-mode two-photon JCM --- p.64 / Chapter 4.4 --- Conclusion --- p.66 / Chapter Chapter 5. --- Multiphoton Jaynes-Cummings model --- p.67 / Chapter 5.1 --- Energy Eigenstates and Eigenvalue Spectrum --- p.67 / Chapter 5.1.1 --- Energy Eigenstates and Eigenvalue Spectrum of the two- photon JCM --- p.71 / Chapter 5.1.2 --- Eigenstates and Eigenvalue Spectrum for the k-photon JCM with k>2 --- p.73 / Chapter 5.2 --- Dynamics of the two-photon JCM --- p.75 / Chapter 5.2.1 --- Atomic Observables --- p.75 / Chapter 5.2.2 --- Field Observables --- p.77 / Chapter 5.3 --- Conclusion --- p.84 / Chapter Chapter 6. --- Intensity-dependent Jaynes-Cummings model --- p.107 / Chapter 6.1 --- Eigenstates and Eigenvalue Spectrum --- p.107 / Chapter 6.1.1 --- Energy Eigenstates and Eigenvalue Spectrum of the one- photon intensity-dependent JCM --- p.110 / Chapter 6.1.2 --- "Energy Eigenstates and Eigenvalue Spectrum for the k-photon intensity-dependent, JCM with k > 1" --- p.113 / Chapter 6.2 --- Dynamics of the one-photon intensity-dependent JCM --- p.115 / Chapter 6.2.1 --- Atomic Observables --- p.115 / Chapter 6.2.2 --- Field Observables --- p.116 / Chapter 6.3 --- Conclusion --- p.123 / Chapter Chapter 7. --- Two-mode Two-photon Jaynes- Cummings model --- p.148 / Chapter 7.1 --- Eigenstates and Eigenvalue Spectrum --- p.148 / Chapter 7.2 --- Dynamics of the System --- p.156 / Chapter 7.2.1 --- Atomic Observables --- p.156 / Chapter 7.2.2 --- Field Observables --- p.160 / Chapter 7.3 --- Conclusion --- p.161 / Chapter Chapter 8. --- Conclusion --- p.183 / Bibliography --- p.186

Poon, Sin Yau = 光子在噪聲環境中的解糾纏 / 潘善柔. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2008. / Includes bibliographical references (leaves 101-110). / Abstracts in English and Chinese. / Poon, Sin Yau = Guang zi zai zao sheng huan jing zhong de jie jiu chan / Pan Shanrou. / Chapter 1 --- Introduction --- p.1 / Chapter 2 --- Review on entanglement theory --- p.4 / Chapter 2.1 --- Pure state entanglement --- p.4 / Chapter 2.2 --- Mixed state entanglement --- p.7 / Chapter 2.3 --- Positive partial transposition (PPT) criterion --- p.9 / Chapter 2.4 --- Negativity of pTA --- p.9 / Chapter 2.4.1 --- Basic properties --- p.10 / Chapter 2.4.2 --- Comparison with concurrence --- p.11 / Chapter 2.5 --- Entanglement witness --- p.12 / Chapter 2.6 --- Inseparability criterion based on uncertainty relations --- p.13 / Chapter 2.7 --- Limitations of the PPT criterion --- p.14 / Chapter 2.8 --- Other manifestations of entanglement --- p.16 / Chapter 2.8.1 --- Non-classicality by negative P-representation --- p.16 / Chapter 2.8.2 --- Non-locality by violation of Bell´ةs inequality --- p.17 / Chapter 3 --- Quantum decoherence: General considerations for open systems --- p.22 / Chapter 3.1 --- A master equation approach --- p.22 / Chapter 3.1.1 --- Master equation in Markovian channels --- p.25 / Chapter 3.2 --- Negativity as a monotone in Markovian systems --- p.26 / Chapter 3.3 --- Finite time disentanglement --- p.29 / Chapter 3.4 --- Non-classicality of harmonic oscillating systems in finite temperature baths --- p.32 / Chapter 4 --- Disentanglement dynamics of two-mode Gaussian states --- p.36 / Chapter 4.1 --- Two-mode Gaussian states: General descriptions --- p.36 / Chapter 4.1.1 --- Covariance matrices and symplectic eigenvalues --- p.37 / Chapter 4.1.2 --- Squeezed states as a source of entanglement --- p.39 / Chapter 4.2 --- Eigenvalues and eigenvectors of pTA --- p.41 / Chapter 4.3 --- Physical interpretation of negativity --- p.43 / Chapter 4.4 --- Disentanglement of two-mode squeezed states in damping and amplifying environment --- p.47 / Chapter 4.4.1 --- Block structures of pTA in Fock space --- p.47 / Chapter 4.4.2 --- Analytic solution of p in position space --- p.49 / Chapter 4.4.3 --- Evolution of eigenvalues and eigenvectors of pTA --- p.51 / Chapter 4.4.4 --- Robust structure of entanglement witness --- p.56 / Chapter 4.5 --- Beam splitter as a model for thermal damping of initial Gaussian states --- p.59 / Chapter 4.6 --- Evolution of entanglement of a damped parametric oscillator --- p.63 / Chapter 4.6.1 --- Eigenvalues and Eigenvectors of pTA --- p.64 / Chapter 4.6.2 --- Negativity and sub-negativity --- p.66 / Chapter 4.7 --- Dissipation in baths with both amplitude and phase damping --- p.68 / Chapter 4.8 --- Loss of nonlocality: An optimized Bell's inequality approach --- p.69 / Chapter 5 --- Disentanglement via polarization mode dispersion --- p.73 / Chapter 5.1 --- Review on polarization mode dispersion --- p.73 / Chapter 5.2 --- A model for stochastic polarization mode dispersion --- p.75 / Chapter 5.3 --- General description of two-photon states --- p.78 / Chapter 5.4 --- Disentanglement of two-photon states in separate fibers --- p.81 / Chapter 5.4.1 --- Polarization negativity and frequency negativity --- p.83 / Chapter 5.4.2 --- Polarization disentanglement --- p.84 / Chapter 5.4.3 --- Frequency disentanglement --- p.85 / Chapter 5.5 --- Disentanglement of two-photon states in a common fiber --- p.86 / Chapter 5.5.1 --- Polarization disentanglement of the singlet state --- p.90 / Chapter 5.5.2 --- Frequency entanglement of the singlet state --- p.91 / Chapter 5.6 --- Non-Markovian channels --- p.92 / Chapter 6 --- Conclusion --- p.99 / Bibliography --- p.101 / Chapter A --- CHSH Inequality for bipartite two level systems --- p.111 / Chapter B --- Transformation from general two-mode Gaussian to double Gaussian product --- p.113 / Chapter C --- Time evolution of general real symmetric two-mode Gaussian density operator --- p.116 / Chapter D --- Time evolution of a damped parametric oscillator --- p.119 / Chapter E --- Optimal Bell values for a damped TMSV in pseudo-spin formalism --- p.123 / Chapter F --- Derivation of master equation for two-photon states --- p.125 / Chapter G --- Solution of master equation for two-photon states --- p.127 / Chapter G.1 --- Evolution of two-photon states in separate fibers --- p.127 / Chapter G.2 --- Evolution of two-photon state in a common fiber --- p.129

D.Phil. (Optometry) / An important issue in the quantitative analysis of optical systems is, for example, the question of how to calculate an average of a set of eyes. An average that also has an optical character as a whole and is representative or central to the optical characters of the eyes within that set of eyes. In the case of refraction, an average power is readily calculated as the arithmetic average of several dioptric power matrices. The question then is: How does one determine an average that represents the average optical character of a set of eyes, completely to first order? The exponential-mean-log transference has been proposed by Harris as the most promising solution to the question of the average eye. For such an average to be useful, it is necessary that the exponential-mean-log-transference satisfies conditions of existence, uniqueness and symplecticity, The first-order optical nature of a centred optical system (or eye) is completely characterized by the 4x4 ray transference. The augmented ray transference can be represented as a 5x5 matrix and is usually partitioned into 2x2 and 2x 1 submatrices. They are the dilation A, disjugacy B, divergence C, divarication D, transverse translation e and deflection 1t. These are the six fundamental first-orders optical properties of the system. Other optical properties, called derived properties, of the system can be obtained from them. Excluding decentred or tilted elements, everything that can happen to a ray is described by a 4x4 system matrix. The transference, then, defines the four A, B, C and D fundamental optical properties of the system…

This thesis deals with the topic of reflection and refraction of light from the boundary of nonlinear materials in general, and saturating amplifiers in particular. We first study some of the basic properties of the light waves in nonlinear materials. We then develop a general formalism to model the reflection and refraction of light with an arbitrary angle of incidence from the boundary of a nonlinear medium. This general formalism is then applied to the case of reflection and refraction from the boundary of linear dielectrics. It will be shown that in this limit, it reduces to the well known Fresnel and Snell's formulas. We also study the interface of a saturating amplifier. The wave equation we use for this purpose is approximate, in the sense that it assumes the amplitude of the wave does not vary significantly in a distance of a wave length. The limits and implications of this approximation are also investigated. We derive expressions for electric field and intensity reflection and transmission coefficients for such materials. In doing so, we make sure that the above mentioned approximation is not violated. These results are compared with the case of reflection and refraction from the interface of a linear dielectric.

The atmospheric radiative transfer model MOCARAT was developed and is presented in this thesis. MOCARAT employs a Monte Carlo Technique for the accurate modeling of band radiances and reflectances in an atmospheric system with a ruffled ocean surface as a lower boundary. The atmospheric radiative transfer is modeled with consideration of molecular Rayleigh scattering, Mie Scattering and absorption on particulate matter, as well as band absorption by molecules in the wavelength channels of interest. The bidirectional reflection of downwelling light at the ocean surface is computed using the empirical relationship between surface wind field and the slope distribution of wave facets derived by Cox and Munk (1954a). A method is proposed to use the oceanic sun glint for remote sensing applications. The sensitivity of channel correlations to aerosol burden and type as well as other atmospheric and observational parameters is assessed. Comparisons of observed correlations with model results are used to check the consistency of the calibration of the airborne Multichannel Cloud Radiometer (MCR) that was employed during the Indian Ocean Experiment (INDOEX). The MCR calibration exhibited large variability from flight to flight. The method was applied to MODIS observations. Unlike the MCR, MODIS was stable where expected, although numerical values for some of the wavelengths appear to depart from theory. / Graduation date: 2004

An optical fiber sensor is used for identification of a cantilevered beam under conditions of various concentrated mass loadings. A model of the sensor as well as the dynamic system is developed and used to test the reliability of the identification. Input/output data from an experiment is gathered and used in the identification. A survey of the existing areas of damage detection and parameter identification is included, along with suggestions for incorporating fiber optic sensors into existing techniques. The goal of this research was to show that the fiber sensor can be used for identification purposes, and that it is sensitive to parameter changes within the system (in this case concentrated mass changes). / Master of Science

The kinematics and dynamics for plane wave optics are derived for a massive electrodynamic field by utilizing Proca's theory. Atomic spectroscopy is also examined, with the focus on the 21 cm radiation due to the hyperfine structure of hydrogen. The modifications to Snell's Law, the Fresnel formulas, and the 21 cm radiation are shown to reduce to the familiar expressions in the limit of zero photon mass.