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A hybrid method combining parallelized finite-difference time-domain (PFDTD) method and parallelized time-domain physical optics (PTDPO) method is presented for computing the radiation fields of the large single reflector, which can not be simulated by one time-domain method. Two process groups for parallel computing are firstly set up, one is for PFDTD computing and the other is for PTDPO computing. No magnetic fields should be saved at every timestep when the Kirchhoff's Sufrace Integration Representation (KSIR) is used to computing the magnetic fields on the reflector. The radiation fields of single reflector antenna with dipole source show the results near the axis are agreed well with those by using PFDTD method and the same as those obtained by FDTD-TDPO method. The hybrid method has the ability of simulating large single reflector with hundreds of wavelengths, including the reflector's feed is offset.