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by So Pui-yiu. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1999. / Includes bibliographical references (leaves 97-98). / Text in English; abstracts in English and Chinese. / by So Pui-yiu. / Acknowledgments --- p.i / Abstract --- p.ii / Contents --- p.iv / Chapter Chapter 1 --- Introduction --- p.1 / Chapter Chapter 2 --- Theory --- p.5 / Chapter 2.1 --- Characteristics of rainbows --- p.5 / Chapter 2.1.1 --- Rainbow angle --- p.5 / Chapter 2.1.2 --- Supernumerary arcs --- p.8 / Chapter 2.1.3 --- High-order rainbows and interference of overlapping rainbows --- p.8 / Chapter 2.2 --- Capillary mode and its damping --- p.11 / Chapter 2.2.1 --- Capillary mode --- p.11 / Chapter 2.2.2 --- Damping of capillary modes due to viscosity --- p.13 / Chapter Chapter 3 --- "Experiments, Results and Discussion" --- p.14 / Chapter 3.1 --- Interference pattern of overlapping rainbows --- p.14 / Chapter 3.1.1 --- Time variation of interference pattern of rainbows at resonance --- p.14 / Chapter I. --- Experiment --- p.14 / Chapter II. --- Results and Discussion --- p.16 / Chapter 3.1.2 --- High resonant frequencies found by using lock- in techniques --- p.32 / Chapter I. --- Experiment --- p.32 / Chapter II. --- Results and Discussion --- p.33 / Chapter 3.1.3 --- Comparison with fitted results --- p.37 / Chapter 3.2 --- Rainbow movements --- p.43 / Chapter 3.2.1 --- Rainbows formed by a focused laser beam --- p.43 / Chapter I. --- Experiment --- p.43 / Chapter II. --- Results and Discussion --- p.44 / Chapter III. --- Droplets of different sizes --- p.46 / Chapter 3.2.2 --- Rainbows formed by an expanded laser beam --- p.51 / Chapter I. --- Experiment --- p.51 / Chapter II. --- Results and Discussion --- p.52 / Chapter III. --- Droplets of different sizes --- p.54 / Chapter 3.3 --- Vibration modes of droplets --- p.63 / Chapter 3.3.1 --- Capillary modes of the droplets --- p.63 / Chapter I. --- Comparison with theory --- p.63 / Chapter II. --- Intensity oscillations of forward scattered beam --- p.64 / Chapter III. --- Damping constant and resonance width --- p.67 / Chapter 3.3.2 --- Up-down mode and other types of vibration modes --- p.71 / Chapter I. --- Intensity oscillations of forward scattered beams --- p.71 / Chapter II. --- Estimation of resonant frequencies --- p.72 / Chapter 3.3.3 --- Excitation of droplet by acoustic pulses --- p.74 / Chapter 3.4 --- Vibration amplitudes --- p.78 / Chapter Chapter 4 --- Conclusion and future outlook --- p.91 / Appendix A --- p.93 / References --- p.97

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Thesis (Ph. D.)--University of Oregon, 2003. / Typescript. Includes vita and abstract. Includes bibliographical references (leaves 140-147). Also available for download via the World Wide Web; free to University of Oregon users.

Vibrational spectra techniques such as IR, Raman and SFG all carry molecular orientation information. Extracting the orientation information from the vibrational spectra often involves creating model spectra with known orientation details to match the experimental spectra. The running time for the exhaustive approach is O(n!). With the help of linear programming, the running time is pseudo O(n). The linear programming approach is with out a doubt far more superior than exhaustive approach in terms of running time. We verify the accuracy of the answer of the linear programming approach by creating mock experimental data with known molecular orientation distribution information of alanine, isoleucine, methionine, lysine, valine and threonine. Linear programming returns the correct orientation distribution information when the mock experimental spectrum consisted of different amino acids. As soon as the mock experimental spectrum consisted of same amino acids, different conformer with different orientation distribution, linear programming fails to give the correct answer albeit the species population is roughly correct. / Graduate

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