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D.Sc. / Please refer to full text to view abstract

M.Sc. (Theoretical Physics) / Please refer to full text to view abstract

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From this review, a FORTRAN code was developed that generates time and position dependent distributed loads based on linear wave theory for shallow water conditions. The routine was integrated into to the Abaqus finite element analysis framework, and used to evaluate the structural response of a representative bridge section impacted by tidal surge.

The rigorous descriptions of linear and nonlinear guided wave theory are given together with a geometrical description that helps in the understanding of the physical phenomena taking place. The nonlinear waveguide discussed in this dissertation is composed of a linear thin film and substrate with a cladding material whose refractive index varies with the intensity of the light. Experimentally, this was accomplished, by placing an oriented liquid crystal (highly nonlinear but extremely slow) on top of a thin film glass waveguide. When the liquid crystal used was K15, light-induced mode cutoff was observed. The TE(,0) mode became leaky as the guided wave power was increased. This was a consequence of the light-induced increase in refractive index due to thermal effects. This behaviour was studied as a function of temperature. Light by light modulation was also accomplished with this setup. The theory of the linear and nonlinear prism coupler and the first experimental investigations on the nonlinear prism coupler are given. The nonlinear prism coupler used was obtained by depositing a small amount of MBBA liquid crystal in the gap beween the input coupling prism and the thin film. The basic properties of the nonlinear prism coupler were demonstrated experimentally and the results obtained were verified to have their origin in the temperature component of the nonlinear index of refraction. Good qualitative agreement between the theory developed and experiments were obtained. Bistability and switching in a thin film waveguide with a K18 liquid crystal cladding has been demonstrated for the first time. These experiments made use of the interesting phenomena associated with the nematic to isotropic phase transition. Such behaviour was satisfactorily explained by the intense light scattering associated with the critical opalescence that accompanies such a phase transition in a liquid crystal. Both the TE(,0) and the TM(,0) modes were found to exhibit such behaviour.

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by Ng Pak Hong. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1998. / Includes bibliographical references (leaves 111-112). / Text in English; abstract also in Chinese. / by Ng Pak Hong. / Acknowledgments --- p.i / Abstract --- p.ii / Table of contents --- p.iv / Chapter Chapter 1 --- INTRODUCTION --- p.1 / Chapter 1.1 --- History --- p.2 / Chapter 1.2 --- Airy Theory --- p.4 / Chapter 1.2.1 --- Rainbow angle --- p.4 / Chapter 1.2.2 --- Airy's cubic wave front --- p.4 / Chapter 1.3 --- High-order rainbows --- p.7 / Chapter 1.4 --- Glare points --- p.8 / Chapter 1.5 --- Interference between overlapping rainbows --- p.10 / Chapter Chapter 2 --- HIGH-ORDER RAINBOWS --- p.17 / Chapter 2.1 --- Experiment --- p.17 / Chapter 2.2 --- Results and discussions --- p.19 / Chapter 2.2.1 --- General features --- p.19 / Chapter 2.2.2 --- Angular positions and angular widths of rainbows --- p.21 / Chapter 2.2.3 --- Rainbow intensities as functions of order number --- p.22 / Chapter 2.3 --- Vertical positions of rainbows --- p.24 / Chapter 2.4 --- Vertical spreads of rainbows --- p.26 / Chapter 2.5 --- Rainbow patterns at different values of the refractive index ..… --- p.28 / Chapter 2.6 --- Effect of eccentricity of a droplet's circumference in the equatorial plane on the rainbow angles --- p.30 / Chapter CHAPTER 3 --- GLARE POINTS --- p.56 / Chapter 3.1 --- Experiment --- p.56 / Chapter 3.2 --- Results and discussions --- p.57 / Chapter 3.2.1 --- General features --- p.57 / Chapter 3.2.2 --- Glare point position and intensity --- p.58 / Chapter A. --- Glare point position --- p.58 / Chapter B. --- Glare point intensity --- p.61 / Chapter C. --- Summary of results of glare points --- p.62 / Chapter 3.2.3 --- Fourier transform of rainbow patterns --- p.63 / Chapter Chapter 4 --- INTERFERENCE BETWEEN OVERLAPPING RAINBOWS --- p.90 / Chapter 4.1 --- Experiment --- p.90 / Chapter 4.2 --- Results and discussions --- p.91 / Chapter 4.2.1 --- General features --- p.91 / Chapter 4.2.2 --- Simulation of the interference --- p.91 / Chapter 4.2.3 --- Estimation of the droplet vibration amplitude and frequency --- p.95 / Chapter 4.3 --- Comparison with results of Lock and Woodruff --- p.96 / Chapter Chapter 5 --- CONCLUSION --- p.107 / APPENDIX A --- p.109 / References --- p.111

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M.Sc. / When a pure chromium single crystal is cooled through its Néel temperature, it undergoes a paramagnetic to a multi-wave vector incommensurate spin-density-wave magnetic transition. Should a chromium single crystal be cooled through its Neel temperature in the presence of a strong enough magnetic field, 4-5 T, then all the spin-density-wave vectors that occur as it undergoes the paramagnetic to incommensurate spin-density-wave magnetic transition, are forced to be aligned parallel to the direction of the applied magnetic field, producing what is called a single spin-density-wave wave vector state in the crystal. The single spin-density-wave wave vector state will remain in the crystal when the magnetic field is removed providing the crystal is not heated above its Neel temperature. If the crystal when in the single spin-density-wave wave vector state is orientated so that the single spin-density-wave wave vector is aligned perpendicular to the direction of an applied magnetic field, then the spin polarisation vectors of the magnetic moments will align themselves so that they are perpendicular to the applied magnetic field and perpendicular to the single wave vector, producing what is called a single spin-densitywave wave vector and single spin polarisation vector state in the crystal. There is a difference in value between the elastic constants measured when a chromium single crystal is in the single spin-density-wave wave vector state to the elastic constants measured when the crystal is in the multi-wave vector spin-density-wave state.When pure chromium is alloyed with other materials the topology of the Fermi surface is changed resulting in some of the alloys being able to undergo paramagnetic to commensurate spin-densitywave magnetic transitions, as well as being able to undergo commensurate spin-density-wave to incommensurate spin-density wave transitions. This study makes use of a magnetic field of strength 4.5 Tin an attempt to produce a single spin-density-wave wave vector state in a Cr + 0.3 at.% Ru and a Cr + 1.6 at.% Si single crystals. Both single crystals undergo paramagnetic to commensurate spin-density-wave transitions when cooled through their, respective Neel temperatures, as well as the Cr + 0.3 at.% Ru single crystal being able to undergo a commensurate spin-density-wave to an incommensurate spin-density-wave transition if cooled further, down to 77 K, well below it's Neel temperature. The effects of the applied magnetic field on the Cr + 0.3 at.% Ru and Cr + 1.6 at.% Si single crystals was determined by measuring the elastic constants of the respective crystals.