| Summary: | 博士 === 國立臺灣大學 === 天文物理研究所 === 97 === In this thesis we studied two important cosmic microwave background (CMB) secondary effects: Sunyaev-Zel’dovich effect (SZE) and cosmological topology. In the first part, we estimated electron temperature, mass, and integrated Compton Y of six galaxy clusters using SZE observation data obtained with the Y. T. Lee Array for Microwave Background Anisotropy (AMiBA). We modified an iterative method, based on isothermal beta-models, to derive these cluster properties. The non-isothermal universal temperature profile (UTP) beta-model was also considered. Our results are in good agreement with previous results deduced from other X-ray and SZE observations. Our results suggest that cluster properties may be measurable with SZE
observations alone. In the second part, we simulated CMB temperature and polarization power spectrum in universes with six compact and orientable non-trivial topologies with flat geometry. We also compared our simulated power spectrum with observation results from Wilkinson Microwave Anisotropy Probe (WMAP) to estimate the size of 3-torus topology. Our results suggest that the power spectrum
observed by WMAP favors the finite universe model with the size 1.14 times of the radius of last scattering surface. We also conducted a forecast of the ability of
upcoming PLANCK to constrain the topology of our Universe.
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