Propagation of ultra-high energy cosmic rays above 1019 eV in a structured Extragalactic Magnetic Field and Galactic Magnetic Field

We perform numerical simulations on propagation of Ultra-High Energy Cosmic Rays (UHECRs) above 10(19) eV in both a structured Extragalactic Magnetic Field (EGMF) and Galactic Magnetic Field (GMF) and simulate their arrival distribution at the earth. Our structured EGMF model and UHECR source models are constructed out of the IRAS PSCz Catalogue in our method. We follow an inverse process on their propagation from the earth and record the trajectories. This method enables us to save the CPU time efficiently. We construct arrival distribution of UHECRs from these trajectories. By comparing calculated statistical quantities on arrival distribution of UHECRs with the results by the Akeno Ground Air Shower Array (AGASA), we find source number density which reproduce the AGASA data best to be similar to 5 X 10(-6) Mpc(-3). We also demonstrate arrival distribution of UHECRs with an event number expected by the Pierre Auger Observatory for a few years and examine how the EGMF affects their arrival distribution.