Sunyaev-Zeld'ovich 效應之模擬分析與研究

Abstract

Studies of the Sunyaev-Zel’dovich (SZ) effect are reaching observational maturity, and the detailed simulations are required to interpret upcoming data. In this thesis, we present two approaches for simulating Sunyaev-Zel’dovich maps. First, we use a hydrodynamical N-body code to generate simulated maps. On the other hand, we also construct a recipe using semi-analytic formalism to simulate SZ maps, that is, calculating the SZ anisotropies directly using results from theoretical models or observations. The latter is a time-saving method, and the influence of the physical mechanism on the outputs can be easily seen since the applied models are substitutable. Although there are many advantages for the semi-analytic method, it is much less accurate than the N-body simulation. Therefore, we generate the SZ maps, of size one square degree, with numerical and semi-analytic approaches and compare them to see in what situations they are similar. We find that the simulation results of cluster properties are in agreement with theoretical model. Futhermore, we find out that the flux-limited number counts of N-body and semi-analytic maps fit surprisingly well. With these results, the semi-analytic method will be a powerful tool for model testing and to make predictions for future SZ surveys such as PLANCK, AMiBA, SZA, AMI, etc.