Asymptotic positions/widths of morphology-dependent resonances and their excitation in 2-D Mie scattering.

Fu Pengpeng.Thesis submitted in: August 2002.Thesis (M.Phil.)--Chinese University of Hong Kong, 2003.Includes bibliographical references (leaves 98-98).Abstracts in English and Chinese.Abstract --- p.iAcknowledgement --- p.iiiTable of Contents --- p.viiList of Figures --- p.xiiList of Tables --- p.xiiiChapter 1 --- Introduction --- p.1Chapter 1.1 --- Background --- p.1Chapter 1.2 --- A Simple 2-D Mie Scattering Model --- p.2Chapter 1.3 --- Topics in the Following Chapters --- p.7Chapter 2 --- Beam-shape Coefficients for 2-D Monochromatic Laser Beam --- p.9Chapter 2.1 --- General Case --- p.9Chapter 2.2 --- Plane Wave Case --- p.13Chapter 2.3 --- General Case of An Arbitrary Beam --- p.15Chapter 3 --- "Modified Explicit Asymptotic Formulas for the Positions, Widths of Resonances in 2-D Mie Scattering" --- p.17Chapter 3.1 --- Introduction --- p.17Chapter 3.1.1 --- Positions --- p.19Chapter 3.1.2 --- Widths --- p.20Chapter 3.2 --- Positions of Resonances --- p.21Chapter 3.2.1 --- Derivation --- p.21Chapter 3.2.2 --- Numerical Comparison --- p.28Chapter 3.2.3 --- Separation --- p.30Chapter 3.2.4 --- Conclusion --- p.32Chapter 3.3 --- LineWidth --- p.32Chapter 3.3.1 --- TE Mode --- p.34Chapter 3.3.2 --- TM Mode --- p.36Chapter 3.3.3 --- Conclusion --- p.38Chapter 3.4 --- Conclusion --- p.39Chapter 4 --- Effects of Surface Perturbation of 2-D Mie Scattering --- p.42Chapter 4.1 --- Experimental Background --- p.42Chapter 4.2 --- Theoretical Derivation --- p.44Chapter 4.3 --- Numerical Results --- p.57Chapter 5 --- Conclusions and Discussions --- p.79Appendix --- p.81Chapter A --- Approximate Solution to One Matrix Equation with Pertur- bation --- p.82Chapter B --- Airy Functions --- p.87Chapter C --- Bessel Functions --- p.89Chapter C.1 --- Basic Properties of the Bessel Functions --- p.89Chapter C.2 --- Numerical Evaluation of The Bessel Functions --- p.91Bibliography --- p.9