This thesis is concerned with tolerances for magnetic field imperfections in the TRIUMF cyclotron set by the betatron oscillation resonances v[formula omitted] = 1.0, v[formula omitted] – v[formula omitted] = 1.0 and v[formula omitted] = 1.5. These resonances, encountered during acceleration, can lead to undesirable growth in the amplitudes of the betatron oscillations. We first derive equations of motion that take into account non-linear terms and field imperfections, and show how resonance conditions may occur. These conditions were simulated in our orbit codes and numerical calculations were made to determine the tolerances they impose on the magnetic field. We have made a detailed investigation of the effect on the behaviour of the beam of first harmonic bumps at radii less than 150 in. The first harmonic tolerance of 0.1 G to produce an increase in the radial amplitude of 0.1 in. is in agreement with analytical calculations. We have also shown that this tolerance, too small to be seen in the magnetic field survey, may be achieved by suitable adjustments in the harmonic coil settings. Tolerances on the second harmonic imperfection are also presented. To determine the tolerances set by the coupled resonance v[formula omitted] – v[formula omitted] = 1.0, we have simulated a first harmonic twist in the median plane. The results show that, for high current poor resolution experiments, the magnitude of the twist on entering the resonance is of no importance, provided the amplitudes of the radial and vertical betatron oscillations are not much larger than the estimate of 0.2 in. For high resolution experiments, the tolerances on the slope of the twist are of the order of a few mrad. Analytical estimates of these tolerances are also presented. Finally, we have determined that the v[formula omitted] = 1.5 resonance sets an upper limit to the gradient of the third harmonic of about 0.2 G/in., which produces a 20% increase in the radial betatron amplitude. / Science, Faculty of / Physics and Astronomy, Department of / Graduate

This thesis presents an investigation of the variations in the magnetic field obtained in the Mackenzie Bay/Beaufort Sea area of the Canadian Arctic. It was found that the variations obtained at sea were strikingly correlated with those recorded at Point Atkinson, a fixed station on land, 150 miles from the survey area. In addition, it was found that the higher frequencies present in the marine records were severely attenuated with respect to the corresponding frequencies in the Point Atkinson recordings. It was concluded that the Mackenzie Bay/Beaufort Sea area is geomagnetically anomalous and that this situation is probably caused by higher electrical conductivity material underlying, the Mackenzie Bay/Beaufort Sea area, abutting lower conductivity material of the North American craton underlying Point Atkinson. This conclusion has important implications relating to the tectonic history of the Canadian Arctic. / Science, Faculty of / Earth, Ocean and Atmospheric Sciences, Department of / Graduate

Leonard C. Maier, Jr. / "November 2, 1949." "This report is essentially the same as a thesis of the same title submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy in Physics at the Massachusetts Institute of Technology." / Bibliography: p. 42. / Army Signal Corps Contract No. W36-039-sc-32037 Project No. 102B Dept. of the Army Project No. 3-99-10-022

Orientadores: José Antenor Pomilio, Giancarlo Tosin / Dissertação (mestrado) - Universidade Estadual de Campinas, Faculdade de Engenharia Elétrica e de Computação / Made available in DSpace on 2018-08-27T01:27:04Z (GMT). No. of bitstreams: 1 Baader_JohannEduardo_M.pdf: 5709999 bytes, checksum: b70a7b9c4f9062486fb33d399ad88653 (MD5) Previous issue date: 2015 / Resumo: Desde 1997 o Brasil tem acesso à tecnologia de radiação síncrotron com a inauguração do Laboratório Nacional de Luz Síncrotron (LNLS), localizado na cidade de Campinas, SP. Batizada de UVX, a fonte de luz síncrotron brasileira foi um marco no desenvolvimento científico e tecnológico do país, permitindo pesquisas nas mais diversas áreas do conhecimento, como nanotecnologia, biotecnologia, fármacos, agricultura, energias alternativas, dentre outros. Em 2009 o LNLS iniciou o projeto e a construção de uma nova fonte de luz síncrotron brasileira. Nomeada Sirius, está sendo desenvolvida para ser uma das mais avançadas do mundo na geração de luz síncroton. O alto desempenho deste tipo de máquina depende fortemente da qualidade dos campos magnéticos criados pelos inúmeros magnetos que compõem a rede magnética, o que exigem uma técnica de caracterização rápida, acurada e precisa. O Grupo de Magnetos, responsável pelo projeto, construção e caracterização dos magnetos tanto da fonte UVX como da nova fonte, utiliza um sistema de medição conhecido como Técnica de Bobina Girante. Devido às especificações do projeto Sirius, foi necessário o aprimoramento da bancada de caracterização, objetivo este consolidado principalmente através da análise minuciosa das principais fontes de erro do sistema. Um modelo numérico desenvolvido para estudar algumas classes de erros da técnica deu suporte para diversas correções na bancada, o que permitiu alcançar níveis de precisão comparáveis com os sistemas de caracterização de outros laboratórios. Paralelamente, foi construída a bancada de um sistema protótipo de medição magnético, nomeado Técnica de Minibobina Girante, apresentando uma série de vantagens em relação às limitações da bancada oficial. Algumas das melhorias realizadas nesta bancada durante o seu desenvolvimento foram baseadas nos resultados advindos do modelo numérico das fontes de erros / Abstract: Since 1997 Brazil has access to synchrotron radiation technology with the inauguration of the Brazilian Synchrotron Light Source (LNLS), located in Campinas, Brazil. The source of Brazilian synchrotron light known as UVX was a milestone in scientific and technological development of the country, enabling research in several areas of knowledge such as nanotechnology, biotechnology, pharmaceuticals, agriculture, alternative energy etc. In 2009 LNLS initiated the project and the construction of a new source of Brazilian synchrotron light, named Sirius. It is being developed to be one of the most advanced in the world in the generation of synchrotron light. The high performance of this type of machine depends strongly on the quality of the magnetic fields created by magnets that compose the lattice, which demand a fast, accurate and precise characterization technique. The Magnets Group, responsible for the design, construction and characterization of both the magnetic UVX sources as new sources, uses a measuring system known as Rotating Coil System. Due to the specifications of the Sirius design, an improved characterization bench was necessary. This goal was achieved mainly through a careful analysis of the main sources of error in the system. A numerical model to study some classes of errors in the technique provided support for various fixes in the bench, which allowed us to achieve comparable levels of accuracy along with the characteristics of the systems from other laboratories. At the same time, another bench was built as a prototype system for magnetic measurements known as Small Rotating Coil System, presenting a series of advantages over the constraints of the main bench. Some of the improvements made on this bench during its development were based on the results derived from the numerical model of error sources / Mestrado / Energia Eletrica / Mestre em Engenharia Elétrica