Thesis (M.S.)--University of Michigan, 1966.

Thesis (M.S.)--Virginia Polytechnic Institute and State University, 1993. / Vita. Abstract. Includes bibliographical references (leaves 212-233). Also available via the Internet.

Thesis (Ph. D.)--University of Wisconsin--Madison, 1983. / Typescript. Vita. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references (leaves 155-160).

Thesis (Ph. D.)--University of Wisconsin--Madison, 1970. / Typescript. On t.p. pi is represented by the Greek letter. Vita. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references.

In this thesis detailed calculations are given showing the equivalence of Siegert's derivation of the nuclear resonance scattering formula, and Hu's derivation of the same formula. Although at first glance it appears that Hu has given a solution to the problem using an entirely different formalism, we have shown that no matter what the final expression for the resonance scattering cross section may be, it must be the same in the case of Siegert's calculation and that of Mng Hu, provided of course, that no more or less arbitrary approximations are introduced into the calculations. / Science, Faculty of / Physics and Astronomy, Department of / Graduate

No description available.

Solutions to the dispersion relation for waves propagating parallel to the static magnetic field in a plasma of arbitrary β are obtained. (β is the ratio of thermal to magnetic pressure.) Resonant scattering by these waves is evaluated. It is found that the magnetostatic approximation, used extensively in the past, breaks down for particles with pitch angles near 90°, and one must consider the more complicated process of particle scattering in electromagnetic turbulence. Many aspects of particle propagation in a finite temperature plasma can be discussed without assuming magnetostatic turbulence. This is accomplished by using a graphical method to obtain the solutions of the resonance condition. Results show that in a high β plasma, wave damping causes a gap, or hole, in μ-space where the resonant particle scattering rate is severely depressed. It is found that only high energy (γ ≥10⁵) electrons can be trapped within a typical supernova remnant. When the notion of electromagnetic resonance is applied to particle propagation in the interplanetary β ≤ 1) plasma, it is found that significant modifications to the conventional scattering picture must be made. It is found that a resonance gap exists which is similar to the one in a high β plasma. For electrons, this gap provides a natural explanation for scatter-free events. Theory predicts that these events should occur for kinetic energies T ≤ 300 keV while observations indicate that the majority have T ≤ 500 keV. For protons and energetic electrons, the scattering mean free path is critically dependent on the non-resonant scattering rate for particles within the gap. This fact provides a way to resolve the well known discrepancy between the theoretical and observational values for the mean free path, λ.

by Hui Yuk Tak. / Bibliography: leaf 41 / Thesis (M.Ph.) -- Chinese University of Hong Kong, 1984

by Lam Ching Chi. / Parallel title in Chinese characters. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1991. / Includes bibliographical references. / List of Table --- p.v / List of Figures --- p.vi / Acknowledgments --- p.xv / Abstract --- p.xvi / Chapter Chapter 1 --- Introduction --- p.1 / Chapter Chapter 2 --- Electromagnetic wave scattering from a homogeneous sphere : Mie scattering --- p.13 / Chapter 2.1 --- Introduction / Chapter 2.2 --- Formulation / Chapter 2.3 --- Morphology-dependent resonance (MDR) / Chapter 2.4 --- Quasinormal modes / Chapter 2.4.1 --- Introduction / Chapter 2.4.2 --- Location of poles of the S-matrix / Chapter 2.4.3 --- Quality factor / Chapter 2.4.4 --- Scattering efficiency / Chapter 2.5 --- The general effect on scattering from a perturbed sphere / Chapter Chapter 3 --- T-matrix method for scalar wave scattering --- p.48 / Chapter 3.1 --- Introduction / Chapter 3.2 --- Formalism for scalar waves / Chapter 3.3 --- Evaluation of matrix element / Chapter 3.4 --- Incident wave expansion coefficients / Chapter 3.5 --- Scattering efficiency / Chapter 3.6 --- An application of the T-matrix method / Chapter 3.7 --- Discussions and conclusion / Chapter Chapter 4 --- Logarithmic perturbation method in scattering of scalar waves --- p.77 / Chapter 4.1 --- Introduction / Chapter 4.2 --- Formalism / Chapter 4.2.1 --- Defining relations / Chapter 4.2.2 --- The matrix equation / Chapter 4.3 --- Evaluation of matrix element / Chapter 4.4 --- Scattering features and properties / Chapter 4.4.1 --- Poles of the S-matrix / Chapter (a) --- First order / Chapter (b) --- Second order / Chapter 4.4.2 --- Quality factor / Chapter 4.4.3 --- T-matrix representation / Chapter 4.5 --- Degenerate perturbation / Chapter (a) --- Weak coupling limit / Chapter (b) --- Stong coupling limit / Chapter Chapter 5 --- Study of wave scattering from slightly deformed spheres using logarithmic perturbation method --- p.110 / Chapter 5.1 --- Introduction / Chapter 5.2 --- Results and Discussions / Chapter 5.2.1 --- Evaluation of matrix element / Chapter 5.2.2 --- Scattering efficiency / Chapter 5.2.3 --- Frequency shift / Chapter 5.2.4 --- Quality factor / Chapter 5.2.5 --- Physical interpretation for quadrupole distortions / Chapter Chapter 6 --- Morphology-dependent resonances in radially-inhomogeneous spheres --- p.143 / Chapter 6.1 --- Introduction / Chapter 6.2 --- Formalism / Chapter 6.3 --- Numerical method / Chapter 6.4 --- Logarithmic perturbation method / Chapter 6.5 --- Scattering properties / Chapter 6.5.1 --- Pole shift / Chapter 6.5.2 --- Quality Factor / Chapter 6.6 --- A specific example : Results and Discussions / Chapter Chapter 7 --- Conclusion --- p.165 / Appendix A --- p.168 / Appendix B --- p.170 / Appendix C --- p.171 / Appendix D --- p.175 / Appendix E --- p.178 / Appendix F --- p.181 / Appendix G --- p.183 / Appendix H --- p.186 / Appendix I --- p.192 / References --- p.195

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