吳俊輝臺灣大學：物理研究所楊湘怡Yang, Hsiang-YiHsiang-YiYang2007-11-262018-06-282007-11-262018-06-282004http://ntur.lib.ntu.edu.tw//handle/246246/54535In this thesis, we construct a software using semi-analytical formalism for simulating Sunyaev-Zel'dovich (SZ) maps, that is, calculating the SZ anisotropies directly using results from theoretical models or observations. It is a timesaving method, and the in uence of the physical mechanism on the outputs can be easily seen since the applied models are substitutable. With these advantages, we produce SZ maps with large eld of view in relatively shorter time in comparison with numerical simulations. We also discuss on the dependence of the results on the components contributing to the SZ anisotropies, such as mass functions, cosmological parameters, masstemperature relations and cluster models. While in the near future, there will be many SZ experiments such as PLANCK, AMiBA, SZA, AMI, etc., the semi-analytical method is a powerful tool for model testing or to make predictions for future SZ surveys.Acknowledgements i Abstract ii 1 Introduction 1 2 Simulation Method 4 2.1 The Cluster Spatial Distribution . . . . . . . . . . . . . . . . . 4 2.1.1 The Mass Function . . . . . . . . . . . . . . . . . . . . 5 2.1.2 Spatial Distribution . . . . . . . . . . . . . . . . . . . . 6 2.2 Cluster Model . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 2.3 Temperature Anisotropies Induced by Clusters of Galaxies . . . . . . . . . . . . . . . . . . . . . . . . 11 3 Results and Discussion 13 3.1 Simulated SZ Map and Mass Functions . . . . . . . . . . . . . 13 3.2 Dependence on Cosmological Parameters . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 3.2.1 The sigma8 . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 3.2.2 The Matter Density OmegaM . . . . . . . . . . . . . . . . . 25 3.3 Mass-Temperature Relation . . . . . . . . . . . . . . . . . . . 25 3.4 Cluster Evolution Model . . . . . . . . . . . . . . . . . . . . . 26 4 Conclusions and Future Work 31 4.1 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31 4.2 Future Work . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32 A Background Cosmology 33 Bibliography 35768385 bytesapplication/pdfen-US宇宙學宇宙微波背景星系團cosmologygalaxy clusterscosmic microwave backgroundthesishttp://ntur.lib.ntu.edu.tw/bitstream/246246/54535/1/ntu-93-R92222004-1.pdf